Patent Publication Number: US-2023155822-A1

Title: Quantum-computing threats surveillance system and method for use in quantum communication environments

Description:
BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates to a quantum-computing threats surveillance system and method for quantum-attack resistance, and in particular, to a quantum-computing threats surveillance system and its corresponding methods relating to implementation of applications, solutions, and state-of-the-arts; wherein the system and methods are for use in quantum communication environments, implemented with technologies of free-electron monitoring, entangled-state measurement, decoherenced-state verification, Fourier transforms for time-and-space analysis, dynamic-model evaluation, local hidden-variable analysis, and quantum information maintenance; thereby the present invention can provide a quantum-computing threats surveillance system and method for various quantum teleportation channels, so as to trace suspicious history logs to perform quantum behavior analysis for locking on specific quantum-computing threats. 
     2. Description of the Related Art 
     At present, the conventional quantum-cyber-security technology mainly focuses on the field of QKD (Quantum Key Distribution) or PQC (Post-quantum Cryptography). It is not only implemented with high cost to end-users, but the prior art of QKD and PQC usually can only defend against specific known or active quantum-computing attacks individually while it neither supports detection of most of general quantum-computing threats instantly or earlier, nor provides early alerts and instant responding actions. For most of such cases, the prior art of quantum-cyber security fails to trace cyber threats in quantum communication environments, and fails to control the potential quantum cyber risks, either. Thus, the conventional technology still lacks a surveillance system for monitoring and tracing quantum-computing threats in the field of quantum cyber security. 
     BRIEF SUMMARY OF THE INVENTION 
     In view of the drawbacks of the prior art, it is an object of the present invention to provide a surveillance system with cyber security solutions for use in quantum communication environments to monitor and trace quantum-computing threats. If it can monitor and trace quantum-computing threats in various quantum-teleportation channels, the alerts and responses of quantum cyber security can be effectively enhanced. This technology can be implemented in a combination of electronic devices, systems, and cloud solutions, and can be adopted in a server room and used to protect most of quantum communication environments. Meanwhile, it effectively covers the insufficiency of the schemes in the field of current PQC or QKD related technologies and solves the problem that the prior quantum cyber security mechanism lacks the ability of tracing possible quantum-computing threats. 
     To achieve the above objects and more, the present invention provides a combination of electronic apparatuses, sub-systems, and a cloud platform to implement the quantum-computing threats surveillance system for use in quantum communication environments. In an embodiment, the present invention includes: a first sub-system which monitors free electrons to determine abnormal events first and then observes decoherenced states for labeling an abnormal event to be further analyzed; and a second sub-system for entanglement measures within current quantum communication environments to evaluate whether the entangled states are not stable enough, so as to escalate the warning status for a system administrator and collaborate with a secure action to stabilize the current quantum communication if necessary. 
     Referring to a role of a surveillance system for a receiver in a quantum communication environment, it is usually a system established in a server room including some sub-systems implemented as different VMs (virtual machine) in a cloud platform which collaborates with specific apparatuses for monitoring the current quantum communication status. For some advanced requirements, the system can further implement more sub-systems to analyze possible suspicious cases for escalating alerts with various levels, enabling responding actions, and tracing history logs for locking onto specific quantum threats. Hence, as a security implementation, the related sub-systems should be working together in the embodiments of the present invention, and the elements in each sub-system may be leveraged across different sub-systems (the inter-operation will be illustrated in the following descriptions). Thus, an embodiment based on the above consideration is to implement the related sub-systems as a quantum cyber security service operating on a plurality of VMs working with required apparatuses for use in free electron detecting, atomic probing, and radio wave sensing, and the apparatuses are located in a space for transceivers of quantum communication and the system adopts SDN (software definition network) as the network infrastructure for internal communications. 
     In an embodiment, in order to monitor free electrons and decoherenced states for labeling abnormal events to be further analyzed, the first sub-system at least comprises: an environment-pre-checking module, a decoherence monitoring unit, and a system-environment patterning module. Wherein, the environment-pre-checking module can collaborate with apparatuses which help to capture free electrons escaped from the optical path of the quantum communication environment, and then labels abnormal events via analyzing captured free electrons in a specific duration; the decoherence monitoring unit labels abnormal events via monitoring decoherenced states in a specific duration; and the system-environment patterning module parameterizes the related system environments as a suspicious event when an abnormal event is determined to be escalated. In this embodiment, for monitoring decoherenced states in a practical way, the decoherence monitoring unit of the first sub-system further includes a set of loadable instructions with coded algorithms stored in non-volatile rewriteable memory for performing the following subroutines step by step: 1) a subroutine for performing Hermitian operation on M o , a matrix of observed quantum states, to derive another matrix M h ; 2) a subroutine for performing conjugate-transpose operation to verify whether the matrix M h  is a Hermitian matrix; and 3) a subroutine for deriving bases in a Hilbert space according to M o , the matrix of observed quantum states, to confirm that the current quantum states are still mapped to Hilbert space stably. If there is any failure with the above subroutines, the decoherence monitoring unit will treat the observed states as possible decoherenced states. Implementing a set of loadable instructions with coded algorithms stored in non-volatile rewriteable memory for performing the specific combination of the above three subroutines step by step can provide an effect of determining whether a set of quantum states is decoherenced. This is an effect that the prior art cannot achieve. 
     In order to confirm whether the current quantum communication is actually impacted when a suspicious event occurs, the system provides a second sub-system which will be triggered due to the suspicious event detected by the first sub-system with patterned parameters of the system environments. Wherein, the second sub-system is for applying entanglement measuring procedures to evaluate whether the entangled states for quantum communication are not stable enough, so as to escalate the warning status for a system administrator. In this embodiment, the second sub-system provides the following components for required procedures and operations: an entanglement-measures mapping module which performs a procedure to map a set of entanglement measures to positive real numbers via making use of a density operator; an entanglement-measures filtering module which performs a procedure to discard the cases that the mapping result of entanglement measures is zero; an entanglement-measures reducing module for performing a procedure which reduces the mapped entanglement measures to von-Neumann entropy; and an LOCC (Local Operations and Classical Communication) operation module which performs operations of LOCC on the reduced measures from the entanglement-measures reducing module so as to confirm whether the current entangled states are not stable enough. Furthermore, based on the result of the above procedures and operations, the LOCC operation module collaborates with an eavesdropping filter process which verifies whether the received state violates current QKD (Quantum Key Distribution) protocol in communication and checks whether there is quantum interference issue with current qubit states, so as to discard the states decoherenced by quantum eavesdropping behavior first, and then prepares hyper-entangled states for collaborating with a security communication unit to secure and stabilize current quantum communication via making use of QSDC (quantum secure direct communication) protocol. 
     Referring to the same embodiment, combining these elements in an implementation of software, hardware, or a combination of software and hardware into a quantum-communication-monitor sub-system and an entanglement-measures sub-system not only can effectively label suspicious events which actually impact the quality of quantum communication, but also provides instant alerts and responding actions for such suspicious events in time as a role of a surveillance system for quantum communication environments. This is an effect that cannot be achieved by conventional technology. 
     In an embodiment, in order to have an efficient performance index in analyzing and capturing free electrons, the present invention provides three key devices as required apparatuses to monitor specific free electrons for the quantum communication environments. In this embodiment, the environment-pre-checking module of the first sub-system shall collaborate with the following three kinds of devices: 1) a device making use of differential energy spectrum or integrated spectrum for detecting Auger electrons from the surface of transmission media which is an optical path for single photons (such as an optical waveguide), in order to monitor an abnormal event which is caused by an external light source in the environment of quantum communication, wherein the external optical frequency is equal to or higher than EUV; 2) a device for detecting spin-Hall effect caused by extrinsic spin-orbit coupling via making use of voltage measurement on free electrons outside the surface of transmission media wherein the transmission media is an optical path for single photons (such as an optical waveguide) so as to confirm that in the quantum communication environment exists a meaningful external impact on local potential energy and the impact may be caused by a visible light source; and 3) a device which probes and scans closely the surface of transmission media where the transmission media is an optical path for single photons (such as an optical waveguide) for detecting free electrons caused by a quantum tunneling effect so as to confirm that in the quantum communication environment exists a meaningful change on local system kinetic energy and that the change may be caused by a light source, wherein the optical frequency of the light source is equal to or lower than infrared light. After detecting the above-mentioned specific free electrons, the three kinds of devices will derive probability distribution data of the detected free electrons for the environment-pre-checking module so that the environment-pre-checking module can help to determine whether there is an abnormal event. 
     Referring to the same embodiment, combining the above three devices in an implementation of software, hardware, or a combination of software and hardware into a quantum-communication-monitor sub-system for collaborating with an environment-pre-checking module, it not only can effectively make the system focus on monitoring specific free electrons for event categorization, but also facilitates meaningful analysis on the observations which could actually relate to risky quantum-computing threats. This is an effect that cannot be achieved by conventional technology. 
     In an embodiment, in order to confirm whether a suspicious event should be treated as a quantum-computing threat, the system further comprises a third sub-system for performing specific Fourier transform processes to analyze whether the variation of potential energy and the relation of time-and-frequency is reasonable; and a fourth sub-system which applies a Lotka-Volterra equation module with Lotka-Volterra competition models to determine a suspicious event via evaluation of Lorentz invariant in a specific duration, and then performs analysis on time and space to determine whether the suspicious event should be escalated to an advanced threat level so as to trigger a risk alert. The third sub-system for this surveillance system at least comprises: a position-and-momentum transformation module making use of position-and-momentum Fourier transform to analyze scientific rationality of the observation derived from captured free electrons; and a time-and-frequency transformation module making use of time-and-frequency Fourier transform to analyze scientific rationality of the observation derived from decoherenced quantum states. If there is any unreasonable observation determined by the third sub-system, it will trigger the fourth sub-system which applies analysis based on Lotka-Volterra competition models and comprises: a Lotka-Volterra competition model mapping unit which conducts competitive Lotka-Volterra equations (such as: 
     
       
         
           
             
               
                 
                   
                     
                       
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     on the observations to perform a mapping process between an initial state and a final state from a dynamical-system point of view; and a Lorentz-invariant verification unit which verifies that there is no Lorentz invariant existing in the spacetime of the Lorentz transform within a specific duration across the mapping process. Once the Lorentz-invariant verification unit determines that there is no Lorentz invariant existing in a specific observed duration according to the analysis on the variation of time-space between observed initial state and observed final state, that means the elements of the observations cannot be expressed by a trivial representation since there is an element that failed to be mapped to a zero vector (one-dimensional linear mapping). It implies that some element(s) of the observation has been degenerated due to some impact of an external effect which may relate to quantum-computing threats that caused the unreasonable variation. 
     Referring to the same embodiment, combining these elements in an implementation of software, hardware, or a combination of software and hardware into a Fourier-transforms-analysis sub-system and a dynamic-model-evaluation sub-system, it not only can effectively determine the scientific rationality of the observed variation for a suspicious event, but also facilitates determination of whether the suspicious event should be treated as a quantum-computing threat since some element(s) of the observations has been degenerated due to an external impact. This is an effect that cannot be achieved by conventional technology. 
     In an embodiment, in order to verify the scientific rationality based on the observations of captured free electrons via a set of practical processes and then make suitable decisions for the result of verification, the third sub-system not only drives the position-and-momentum transformation module to perform the position-and-momentum Fourier transform on the observations of captured free electrons, but further comprises: a spectral analysis unit, a basis resolution unit, an uncertainty-principle verification unit, a block-list unit, and a wave-function database unit. Wherein, the spectral analysis unit performs spectral analysis processes on the result of the position-and-momentum Fourier transform for the observations of captured free electrons to confirm whether there is a possible quantum harmonic oscillator within the observations so as to derive a linear combination of quantum harmonic oscillators; the basis resolution unit performs a basis resolution process for resolving the derived linear combination of quantum harmonic oscillators to derive corresponding bases; and the uncertainty-principle verification unit performs an uncertainty-principle verification process to verify whether the result of the position-and-momentum Fourier transform for the observations of captured free electrons fits the uncertainty principle. Once the uncertainty-principle verification unit determines that the result of the position-and-momentum Fourier transform fits the uncertainty principle and the bases can be derived by the basis resolution unit successfully, the block-list unit will add the bases into a block list so that the system can help to block such suspicious quantum communication in the future. Moreover, the wave-function database unit stores wave functions expressed by the corresponding linear combination of quantum harmonic oscillators into a database so that the system will be able to perform further analysis and tracing policies in the future. 
     Referring to the same embodiment, combining these elements in software, hardware, or a combination of software and hardware into a Fourier-transforms-analysis sub-system, it not only can effectively facilitate analysis of the abnormal variation of potential energy based on the observation of captured free electrons so as to determine whether the analyzed event is a suspicious event, but also facilitates future policies and analyses. This is an effect that cannot be achieved by conventional technology. 
     Further, in an embodiment, in order to verify the scientific rationality based on the observations derived from decoherenced quantum states via a set of practical processes and then make suitable decisions for the result of verification, the third sub-system not only drives the time-and-frequency transformation module to perform the time-and-frequency Fourier transform on the observations derived from decoherenced quantum states, but further comprises: a temperature-controller unit, an optical-interference resistant unit, a ZPE (zero-point energy) analysis unit, a covariance-and-correlation analysis unit, and a true-randomness analysis unit. Wherein, the temperature-controller unit and the optical-interference resistant unit collaborate in a decoherence measurement process so as to confirm that the current abnormal observations of decoherenced states are not caused by temperature or optical interference factors. Thereafter, according to the result of the time-and-frequency Fourier transform on the observations of decoherenced states, the ZPE analysis unit performs a ZPE analysis process for confirming that the expected value of the current abnormal observations on decoherenced states are not closed to the expected value of ZPE. Once the ZPE analysis unit determines the above two expected values are significant closed to each other based on a reasonable confidence level, that implies the current abnormal decoherenced observations are caused by ZPE factors, the third sub-system will by-pass the analyzed event directly. Otherwise, the covariance-and-correlation analysis unit collaborates with a true-randomness analysis unit to perform a covariance-and-correlation analysis process which includes a set of subroutines on the result of time-and-frequency Fourier transform on the observations of decoherenced states, so as to confirm that the current abnormal observations are not caused by factors of the local quantum communication environment. Wherein, the true-randomness analysis unit usually collaborates with a quantum random number generator for calibration first, and then performs a true-randomness analysis process on the observations of decoherenced states for determining whether the current abnormal observations are in randomness. Once the covariance-and-correlation analysis unit determines that the current abnormal observations of decoherenced states are not in randomness nor caused by factors of the local quantum communication environment, the third sub-system will be able to treat the abnormal event as a suspicious event. 
     Thereby, the third sub-system as a Fourier-transforms-analysis sub-system can efficiently drive the position-and-momentum transformation module and the time-and-frequency transformation module to determine a suspicious event which triggers further risky analysis performed by the fourth sub-system. Referring to the same embodiments, combining these elements in software, hardware, or a combination of software and hardware into a Fourier-transforms-analysis sub-system, it not only can effectively facilitate analysis of the abnormal observations of free electrons and decoherenced states so as to determine whether the analyzed event is a suspicious event, but also helps to classify the abnormal observations of decoherenced states. Since an abnormal observation of decoherenced states may be caused by a regular factor such as a local quantum communication environment issue, it is important to identify and classify the observed decoherenced states so as to suppress false alerts for a surveillance system. This is an effect that cannot be achieved by conventional technology. 
     In an embodiment, in order to verify a possible quantum-computing threat, the fourth sub-system further comprises the following units to collaborate with the Lotka-Volterra equation module of the fourth sub-system: a universe-variability analysis unit, a gravity-anomaly analysis unit, and a ripple-in-spacetime detection unit. Wherein, when the Lorentz-invariant verification unit of the fourth sub-system determines that there is no Lorentz invariant existing in a specific duration of observation, the universe-variability analysis unit performs a universe-variability analysis process so as to confirm whether the current quantum communication environment is impacted by factors of space curve, space collapse, or space singularity. Meanwhile, the gravitational-redshift analysis unit performs a gravitational-redshift analysis process so as to confirm whether the current quantum communication environment is impacted by factors of gravity anomaly. Besides, the ripple-in-spacetime detection unit performs a gravity-wave analysis process including a set of subroutines so as to confirm whether the current quantum communication environment is impacted by factors of gravity waves. 
     In an embodiment, in order to verify a possible quantum-computing threat, a Lotka-Volterra equation module applied by the fourth sub-system for analysis based on dynamic models shall collaborate with a local-hidden-variables analysis unit to determine that there is a time related impact factor on observed decoherenced states so as to collaborate with a C.S.C.O. (complete set of commuting observables) operation module for quantum information recovery, wherein the Lotka-Volterra equation module further comprises: a time-dilation analysis unit, a T-symmetry detection unit, and a ripple-in-spacetime detection unit. Wherein, when the Lorentz-invariant verification unit of the fourth sub-system determines that there is no Lorentz invariant existing in a specific duration of observation, the time-dilation analysis unit performs a time-dilation analysis process, so as to confirm whether the current quantum communication environment is impacted by factors of time dilation. Meanwhile, the T-symmetry detection unit performs a time-symmetry analysis process, so as to confirm whether there is time reversal invariance in the current quantum communication environment under the condition of discarding the effect of system friction. Besides, the ripple-in-spacetime detection unit conducts Lorentz transformation in consideration of the principle of relativity which prevents the distortion of the observed information first, and then performs a gravity-wave analysis process which applies optical atomic clock related technology and includes a set of subroutines with coded algorithms so as to confirm whether the current quantum communication environment is impacted by factors of gravity waves. 
     In some embodiments, in order to trace possible quantum-computing threats in quantum communication environments, the system further comprises a fifth sub-system for performing quantum-teleportation analysis processes to label various teleportation channels, and a sixth sub-system for logging and analyzing history threats. To achieve the above effects, the fifth sub-system at least comprises: a Bell-measurements analysis unit for performing Bell-measurements analysis processes which confirm that the observation violates local realism first in order to assure that the current observation is entanglement, and then find the cases that the received quantum state is not in maximum entanglement; and a local-hidden-variables analysis unit for performing a local-hidden-variables analysis process via making use of Gisin&#39;s theorem within the impacted local quantum communication environment and POVM (positive operator-valued measure) operation on all of possible entangled states, so as to label and pattern the local hidden variables. That means the fifth sub-system shall label an analyzed event when the received entangled states violate local realism but the entangled states are not in maximum entanglement. Since all of the possible entangled states derived with Gisin&#39;s theorem implies disclosing all possible observed types of predictions regarding the future behavior of the system which lacks maximum entanglement in the condition of violating local realism, it is reasonable to the surveillance system to treat the possible entangled states in the form of POVM as a pattern related to the local hidden variables. In the present invention, it defines such an event that implies there is some unusual hidden variable within the local quantum communication environment which is worth logging the analyzed states as a pattern of hidden variable for identifying a specific quantum teleportation channel related to some quantum-computing threat. 
     In the same embodiments, once the fifth sub-system determines that the current event should be logged, it will trigger the sixth sub-system for tracing history logs, and the sixth sub-system at least comprises: an event-alert module, a quantum communication blocking module, a key recycling module, a history-logs classification module, and a behavior analysis module. Wherein, the event-alert module provides alerts for possible quantum-computing threats or quantum communication quality events. Thereafter, the quantum communication blocking module determines whether to break a quantum communication according to corresponding escalation levels. Meanwhile, the key recycling module determines whether to enable a key-recycling process according to an observed attacking cycle of some quantum-computing threat. Besides, the history-logs classification module classifies the event data stored in the history logs, and the behavior analysis module performs behavior analysis on the possible quantum-computing threats for finding the periodicity of the alerted events, analyzing common bases of quantum states from a bunch of history events, and performing analysis on entanglement measures. 
     Referring to the same embodiments, combining these elements in software, hardware, or a combination of software and hardware into a quantum-teleportation analysis module for the fifth sub-system and a set of log-and-trace services as the sixth sub-system, it not only can effectively facilitate identification of a risky quantum-teleportation channel, but also helps to log the related quantum-computing threats for required responses and further analysis so as to lock on a quantum-computing threat in a practical way. This is an effect that cannot be achieved by conventional technology. 
     In an embodiment, in order to perform suitable actions on impacted quantum information, the system further comprises a seventh sub-system for performing information recovery processes to recover impacted quantum information or qubits caused by factors of time-dilation, time-asymmetry, or ripple-in-spacetime. To achieve such effect, the seventh sub-system collaborates with an optical-interference resistant unit and at least comprises: a photon capture-and-storage module, a prototype-quantum-node recovery module, and a C.S.C.O. (complete set of commuting observables) operation module. Wherein, the photon capture-and-storage module facilitates capturing and storing photons at least for milliseconds via controlling a prototype-quantum-node recovery module. Meanwhile, the prototype-quantum-node recovery module provides the ability to catch, store, and re-entangle bits of quantum information for correction of signal loss. Besides, the C.S.C.O. operation module performs processes for making use of C.S.C.O. to recover degenerated quantum information or qubits, wherein the processes mainly include the following subroutines: 1) a subroutine for performing non-orthogonal conversion on the observed quantum states to derive eigen states on an orthogonal coordinate system first; 2) a subroutine for validating whether a Hermitian transform is applicable for the derived eigen states; 3) a subroutine which performs phase correction on the derived eigen states to confirm there is still a degenerated state, and then verifies the dimension of the observed state so as to perform a matrix operation for making use of C.S.C.O. to recover the degenerated state if the above-mentioned Hermitian transform is applicable, and then gets a recovered completed result for maintaining the completeness of the received quantum states; and finally; 4) a subroutine to determine the analyzed event as a quantum-computing threat directly once the above subroutines have failed to recover the degenerated quantum state in a reasonable duration. 
     Referring to the same embodiments, combining these elements in software, hardware, or a combination of software and hardware into a quality service for current quantum communication as the seventh sub-system, it not only can effectively maintain the quality of quantum transmission via optical paths, but also helps to recover the degenerated quantum states. This is an effect that cannot be achieved by conventional technology. 
     In addition, in some embodiments, in order to efficiently classify a specific quantum-computing threat which relates to factors of ripple in spacetime, once the position-and-momentum transformation module of the third sub-system determines that there is a suspicious event, the third sub-system will collaborate with the decoherence monitoring unit of the first sub-system to confirm that there is not only space-time variation but also abnormal decoherenced states in the current quantum communication environment, and then collaborates with a ripple-in-spacetime detection unit of the fourth sub-system to perform gravity-wave analysis process on a variation of optical frequency and a variation of time dilation via making use of optical atomic clocks, so as to determine whether the local quantum communication environment is impacted by factors of gravity waves. 
     However, in the same embodiments, if the ripple-in-spacetime detection unit has failed to determine that the local quantum communication environment is impacted by factors of spacetime variation, the third sub-system will trigger the time-and-frequency transformation module to determine whether the current abnormal decoherenced states also involve space-time related factors and whether the third sub-system should collaborate with a set of subroutines with algorithms for performing C.S.C.O. operations on the decoherenced states for quantum information recovery, and collaborates with a security communication unit to secure and stabilize current quantum communication via making use of QSDC (quantum secure direct communication) protocol if necessary. 
     Thereby, the above embodiments of the present invention support to implement a surveillance system for use in quantum communication environments to resist quantum-computing threats in various quantum-teleportation channels. The present invention provides a complete architecture of quantum-computing threat resistance for general quantum communication environments. This technology can be implemented on a transceiver or a cloud service platform meanwhile collaborates with apparatuses for capturing and monitoring specific free electrons outside the surface of transmission media for various light sources wherein the transmission media is an optical path for single photons (such as an optical waveguide). In some embodiments, this technology not only detects and blocks quantum-computing threats, but also optionally implements basic or advanced counterattacking modules. In addition, the relevant technical means of this system can be practiced by devices working in general environments, and also provides several effects of a quantum cyber-security mechanism that cannot be supported by the current PQC or QKD schemes for use in quantum communication, for example, a sub-system for supporting event alerts and history logs, and a proprietary database of patterns, so as to facilitate a 24/7 security communication service. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG.  1 A  is a structural block diagram of a system according to an embodiment of the present invention. 
         FIG.  1 B  is a structural block diagram of a system according to an embodiment of the present invention. 
         FIG.  1 C  is a structural block diagram of a system according to an embodiment of the present invention. 
         FIG.  1 D  is a structural block diagram of a system according to an embodiment of the present invention. 
         FIG.  1 E  is a block diagram of a system related to  FIGS.  1 A- 1 D . 
         FIG.  2 A  is a structural block diagram of the first and second sub-systems according to an embodiment of the present invention. 
         FIG.  2 B  is a block diagram of the second sub-system related to  FIG.  2 A . 
         FIG.  2 C  is a schematic diagram of the system according to a user scenario of the present invention. 
         FIG.  3    is a schematic diagram of the first sub-system according to an embodiment of the present invention. 
         FIG.  4 A  is a structural block diagram of the third and fourth sub-systems according to an embodiment of the present invention. 
         FIG.  4 B  is a block diagram of the ripple-in-spacetime detection unit related to  FIG.  4 A . 
         FIG.  5 A  is a block diagram of the third sub-system according to an embodiment of the present invention. 
         FIG.  5 B  is a block diagram of the wave-function database unit related to  FIG.  5 A . 
         FIG.  6 A  is a block diagram of the third sub-system according to an embodiment of the present invention. 
         FIG.  6 B  is a block diagram of the covariance-and-correlation analysis unit related to  FIG.  6 A . 
         FIG.  6 C  is a detailed block diagram of block p 303  which is described in  FIG.  6 A . 
         FIG.  7    is a structural block diagram of the fifth and sixth sub-systems according to an embodiment of the present invention. 
         FIG.  8    is a structural block diagram of the seventh sub-system according to an embodiment of the present invention. 
         FIG.  9    is a structural block diagram of the system according to an embodiment of the present invention. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     To facilitate understanding of the objects, characteristics and effects of this present disclosure, embodiments together with the attached drawings for the detailed description of the present disclosure are provided. 
     Based on a quantum-computing threats surveillance method, a plurality of embodiments in regard to a quantum-computing threats surveillance system for use in quantum communication environments which is capable of resisting quantum-computing threats in various quantum-teleportation channels are provided as follows. In an embodiment of this aspect, the system can be further implemented in a combination of electronic devices, systems, and cloud solutions, and can be adopted in a server room and used to protect most of quantum communication environments. 
     Refer to  FIGS.  1 A- 1 D , which are structural block diagrams of a system according to an embodiment of the present invention. A full solution of the quantum-computing threats surveillance system for use in quantum communication environments S 1000  includes a first sub-system S 1001 , a second sub-system S 1002 , a third sub-system S 1003 , a fourth sub-system S 1004 , a fifth sub-system S 1005 , a sixth sub-system S 1006 , and a seventh sub-system S 1007 . In most of the embodiments of the present invention, the first sub-system S 1001  can be implemented as a quantum-communication-monitor sub-system by means of an environment-pre-checking module and means of a quantum-state pre-checking module; the second sub-system S 1002  can be implemented as an entanglement-measures sub-system by means of entanglement measurements and means of LOCC (local operations and classical communication), wherein the means implemented for the second sub-system S 1002  work with the following technical features: stabilization for entanglement, retransmission for teleportation failures, error correction for entanglement, threat detection for double-CNOT attacks, and fault tolerance under a collective noise channel; the third sub-system S 1003  can be implemented as a Fourier-transforms-analysis sub-system by means of analysis with Fourier transforms; the fourth sub-system S 1004  can be implemented as a dynamic-model-evaluation sub-system by means of dynamic-model evaluation and means of Lorentz-invariant verification; the fifth sub-system S 1005  can be implemented as a sub-system via technology of Bell measurement and means of local-hidden-variables analysis, wherein the fifth sub-system comprises a quantum-teleportation analysis module M 501 ; the sixth sub-system S 1006  can be implemented as a sub-system providing log-and-trace services, and the seventh sub-system S 1007  can be implemented as a sub-system supporting quality services for current quantum communication. 
     For example, as shown in  FIGS.  1 A- 1 D , the first sub-system S 1001  monitors free electrons or decoherenced states to label suspicious cases; the second sub-system S 1002  performs entanglement measures within current quantum communication environments to evaluate whether the entangled states are not stable enough; the third sub-system S 1003  performs specific Fourier transform processes to analyze whether the variation of potential energy and the relation of time-and-frequency is reasonable; the fourth sub-system S 1004  applies a Lotka-Volterra equation module for analyzing space and time with Lotka-Volterra competition models to evaluate whether a suspicious event should be escalated to an advanced threat level for a system administrator; the fifth sub-system S 1005  performs quantum-teleportation analysis processes to label various teleportation channels for risky communications; the sixth sub-system S 1006  logs and analyzes history threats; and the seventh sub-system S 1007  performs information recovery processes to recover impacted quantum information or Qubits caused by factors of time-dilation, time-asymmetry, or ripple-in-spacetime. 
     In brief, referring to  FIG.  1 D , a main workflow for an implementation of this invention is shown as f001˜f006 for summarizing the stages of the above-mentioned sub-systems: 1) shown as f001, a first sub-system as a quantum-communication-monitor sub-system to find abnormal events via monitoring specific free electrons and decoherenced states in a specific duration; 2) shown as f002, a second sub-system as an entanglement-measures sub-system to determine whether the current entanglement is stable enough; 3) shown as f003, a third sub-system as a Fourier-transforms-analysis sub-system to perform specific Fourier transforms on observed free electrons and observed decoherence for labeling an advanced suspicious event; 4) shown as f004, a fourth sub-system as a dynamic-model-evaluation sub-system to conduct Lotka-Volterra competition model for determining a risk event; 5) shown as f005, a fifth sub-system for labeling quantum teleportation channels via technology of Bell measurement and local-hidden-variables analysis; and 6) shown as f006, a sixth sub-system to provide log-and-trace services and a seventh sub-system to provide quality services for current quantum communication. 
     Referring to  FIG.  2 C  for example, as a role of a surveillance system for a transceiver node in a quantum communication environment, it is usually a system established as a virtualized service platform VSP001 in a server room including some sub-systems (such as S 1001 ˜S 1003 ) implemented as different VMs (virtual machines) in a cloud platform VSP001 which collaborates with specific apparatuses (such as Dev001˜Dev003) for monitoring the current quantum communication status. For some advanced requirements, the system can further implement more sub-systems to analyze possible suspicious cases for escalating alerts with various levels, enabling responding actions, and tracing history logs for locking on specific quantum threats. Hence, as a security implementation, the related sub-systems should be working together in the embodiments of the present invention, and the elements (could be modules or units) in each sub-system may be leveraged across different sub-systems (the inter-operation will be illustrated in the following descriptions). 
     In the present disclosure, a module (or a unit) generally means implementations including a set of loadable instructions with coded algorithms stored in non-volatile rewriteable memory (for example, NAND Flash, SSD, and so on) to perform software subroutines, programming logics, or firmware applications, and so on. Thus, an embodiment based on the above consideration is to implement the related sub-systems (S 1001 ˜S 1003 ) as a quantum cyber security service VSP001 operating with a plurality of VMs working with required apparatuses for use in free electron detecting, atomic probing, and radio wave sensing. Wherein, the apparatuses are located in a space for transceivers of quantum communication and the system adopts SDN (software definition network) with a software controller SC001 as the network infrastructure for internal communications. Implementing the present invention with the virtualized server platform (VSP), each sub-system can bundle a VM (virtual machine) with specified OS and a set of APP applications individually; here the APP mentioned in the VSP can be software applications, software development libraries, programming codes, etc. In addition, the above embodiments are only feasible examples for illustrating a user scenario of the present invention, and the implementation and deployment of the present invention is not limited thereto. 
     Further referring to  FIG.  2 A  which is a structural block diagram of the first and second sub-systems according to an embodiment of the present invention, in an embodiment, the present invention at least includes: a first sub-system S 1001  for monitoring free electrons and decoherenced states to label suspicious events for further analysis, and a second sub-system S 1002  for entanglement measures within current quantum communication environments to evaluate whether the entangled states are not stable enough, so as to escalate the warning status to an event-alert module M 601  for a system administrator and collaborate with a security communication unit U 121  for taking secure actions to stabilize the current quantum communication if necessarily. Thus, the administrator of this quantum communication surveillance system will be notified that there is a suspicious event with abnormal occurrence of monitored free electrons and decoherenced states which implies the current quantum communication is unstable in entanglement, and the system will enable a security communication mechanism to stabilize the current quantum teleportation. 
     In this embodiment, the first sub-system S 1001  at least comprises: an environment-pre-checking module M 101 , a decoherence monitoring unit U 101 , and a system-environment patterning module M 103 . Wherein, at first, the environment-pre-checking module M 101  can collaborate with apparatuses which help to capture free electrons escaped from the optical transmission media of the quantum communication environment, and then labels abnormal events via analyzing captured free electrons in a specific duration to see whether there is abnormal variation on the number of the monitored observations; once there is an abnormal event reported by M 101 , the decoherence monitoring unit U 101  monitors decoherenced states in a specific duration for determining whether to label abnormal events as well; and then the system-environment patterning module M 103  parameterizes the related system environments as a suspicious event according to the information from M 101  and U 101 , and determines to escalate a suspicious event for further analysis. In this embodiment, also referring to  FIG.  3   , the present invention discloses means of quantum-state pre-checking to provide a proprietary filter for suspicious events related to the following cases: events about tampered information, events about variation of optical frequency, events about phase change, events about gravity impacts, and events about variation of electric field or magnetic field. To implement such means of quantum-state pre-checking via monitoring decoherenced states in a practical way, the decoherence monitoring unit U 101  of the first sub-system S 1001  further includes a set of loadable instructions with coded algorithms stored in non-volatile rewriteable memory for performing the following subroutines (shown as blocks p 101 ˜p 103 ) step by step: 1) a subroutine p 101  for performing Hermitian operation on M o  which is a matrix of observed quantum states, to derive a matrix M h ; 2) a subroutine p 102  for performing a conjugate-transpose operation to verify whether the matrix M h  is a Hermitian matrix; and 3) a subroutine p 103  for deriving bases in a Hilbert space according to M o  which is the matrix of observed quantum states, to confirm that the current quantum states are still mapped to Hilbert space stably. If there is any failure with any of the above subroutines (p 101 ˜p 103 ), the decoherence monitoring unit U 101  will treat the observed states as possible decoherenced states. Implementing a set of loadable instructions with coded algorithms stored in non-volatile rewriteable memory for performing the specific combination of these subroutines (p 101 ˜p 103 ) step by step can provide an effect of determining whether a set of quantum states is decoherenced. In some specific applications, as shown in  FIG.  2 A , the decoherence monitoring unit U 101  can be enhanced as a quantum-state pre-checking module M 102  for a usage of a state filter as well. This is an effect that the prior art cannot achieve. 
     In the same embodiment, as shown in  FIG.  2 A , in order to confirm whether the current quantum communication is actually impacted when a suspicious event occurs, by means of entanglement measurements and means of LOCC (local operations and classical communication), the system provides a second sub-system S 1002  which will be triggered due to the suspicious event detected by the first sub-system S 1001  with patterned parameters of the system environments. Wherein, the second sub-system S 1002  is for applying entanglement measuring procedures to evaluate whether the entangled states for quantum communication are not stable enough, so as to escalate warning status to an alert-event module M 601  for a system administrator. In this embodiment, referring to  FIG.  2 A ,  FIG.  2 B , and  FIG.  3   , the second sub-system S 1002  provides the following components for required procedures and operations: an entanglement-measures mapping module M 201  which performs a procedure p 001  to map a set of entanglement measures to positive real numbers via making use of a density operator (ex: 
     
       
         
           
             
               
                 
                   
                     
                       
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     an entanglement-measures filtering module M 202  which performs a procedure p 002  to discard the cases that the mapping result of entanglement measures is zero (that implies the complex system is not entangled); an entanglement-measures reducing module M 203  for performing a procedure p 003  which reduces the mapped entanglement measures to von-Neumann entropy (ex: 
     
       
         
           
             
               
                 
                   
                     
                       
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     and an LOCC operation module M 204  which performs operations p 004  of LOCC (local operations and classical communication) on the reduced measures from the entanglement-measures reducing module M 203  so as to confirm whether the current entangled states are not stable enough. For more details of the operations performed by the LOCC operation module M 204 , as shown in  FIG.  2 A , the LOCC operation module M 204  works with a Bell-measurements analysis unit U 119  for leveraging tools of Bell-measurements on the operations of LOCC; and as shown in  FIG.  2 B , the LOCC operation module M 204  shall perform the following subroutines (shown as blocks p 0041 ˜p 0045 ) for LOCC operations: 1) performing local operation on a spin state to solve what the expected transformed state is; 2) performing Schmidt decomposition on the original state and the expected transformed state for phase analysis and then checking the decomposed result with Nielsen&#39;s conditions (Nielsen M. A., 1999 “Conditions for a class of entanglement transformations”); 3) performing catalytic conversion when the Nielsen&#39;s conditions are not satisfied; 4) performing a verification with sum of Schmidt coefficients in order, so as to determine whether a catalyst state is needed for LOCC operation; and 5) if the transformed measures (in the form of transformed entropy) is enough larger than the measures before LOCC operations or there is no condition for performing LOCC operations on current entanglement measures, that implies the current entangled states are not stable enough in a complex system. Referring to  FIG.  2 A , the LOCC operation module M 204  of the second sub-system S 1002  collaborates with an eavesdropping filter process which verifies whether the received state violates current QKD protocol in communication and checks whether there is a quantum interference issue with current qubit states, so as to discard the states decoherenced by quantum eavesdropping behavior first, and then prepares hyper-entangled states for collaborating with a security communication unit U 121  to secure and stabilize current quantum communications via making use of QSDC (quantum secure direct communication) protocol. 
     Referring to the same embodiment, combining these elements in an implementation of software, hardware, or a combination of software and hardware into a first sub-system S 1001  as a quantum-communication-monitor sub-system and a second sub-system S 1002  as an entanglement-measures sub-system, not only can effectively label suspicious events which actually impact the current quantum communication, but also provides instant alerts and responding actions for such events in time as a role of a surveillance system for quantum communication environments. This is an effect that cannot be achieved by conventional technology. 
     Referring to  FIG.  3   , in an embodiment, in order to have an efficient performance index in analyzing and capturing free electrons, by means of environment-pre-checking, the present invention provides three key devices as required apparatuses to monitor specific free electrons for the quantum communication environments. In this embodiment, the environment-pre-checking module M 101  of the first sub-system S 1001  shall collaborate with the following three kinds of devices (Device-01˜Device-03): 1) a device Device-01 for detecting Auger electrons from the surface of transmission media which is an optical path for single photons (such as an optical waveguide) via making use of differential energy spectrum or integrated spectrum, in order to monitor an abnormal event which is cause by an external light source in the environment of quantum communication, wherein the external optical frequency is equal to or higher than EUV, wherein Device-01 is usually a detector for Auger electrons, for example, an AES (Auger Electron Spectrometer) in practice; 2) a device Device-02 for detecting spin-Hall effect caused by extrinsic spin-orbit coupling via making use of voltage measurement on free electrons outside the surface of transmission media wherein the transmission media is an optical path for single photons (such as an optical waveguide), so as to confirm that in the quantum communication environment exists a meaningful external impact on local potential energy and the impact may be caused by a visible light source, wherein Device-02 is usually an extrinsic spin-Hall effect detector, for example in practice, an SHED (spin-Hall effect detector) made of p-GaAs spin injection devices; and 3) a device Device-03 which probes and scans closely to the surface of transmission media wherein the transmission media is an optical path for single photons (such as an optical waveguide) for detecting free electrons caused by a quantum tunneling effect so as to confirm that in the quantum communication environment exists a meaningful change on local system kinetic energy and the impact may be caused by an external light source, wherein the optical frequency is equal to or lower than infrared light, wherein Device-03 is usually a detector working with tiny probes, for example in practice, an STM (Scanning Tunneling Microscope). After detecting the above-mentioned specific free electrons, the three kinds of devices will derive probability distribution data of the detected free electrons for the environment-pre-checking module so that the environment-pre-checking module can help to determine whether there is an abnormal event. In other words, these devices (Device-01˜Device-03) make the surveillance system focus on monitoring the electrons escaped from the surface of optical transmission media in the quantum communication environment in a specific duration, so as to determine whether there is interference from an external light source and classifies the external light source by range of optical frequency. 
     Referring to the same embodiment, combining the above three devices Device-01˜Device-03 in an implementation of software, hardware, or a combination of software and hardware into a first sub-system S 1001  as the quantum-communication-monitor sub-system for collaborating with an environment-pre-checking module M 101  of the first sub-system, it not only can effectively make the system focus on monitoring specific free electrons for event categorization, but also facilitates meaningful analysis on the observations which could actually relate to risky quantum-computing threats. This is an effect that cannot be achieved by conventional technology. 
     Referring to  FIG.  4 A , in an embodiment, in order to confirm whether a suspicious event should be treated as a quantum-computing threat, by means of analysis with Fourier transforms, the system further comprises a third sub-system S 1003  as a Fourier-transforms-analysis sub-system for performing specific Fourier transform processes to analyze whether the variation of potential energy and the relation of time-and-frequency is reasonable; and by means of dynamic-model evaluation and means of Lorentz-invariant verification, the system further comprises a fourth sub-system S 1004  as a dynamic-model-evaluation sub-system which applies a Lotka-Volterra equation module M 401  with Lotka-Volterra competition models to determine a suspicious event via evaluation of Lorentz invariant in a specific duration, and then performs analysis on time and space to determine whether the suspicious event should be escalated to an advanced threat level so as to trigger a risk alert. 
     In the embodiment shown in  FIG.  4 A , after the first sub-system S 1001  determined there is an abnormal event, and the second sub-system S 1002  confirmed the abnormal event is regarding unstable quantum communication, the surveillance system requires a third sub-system to determine whether the abnormal event should be treated as a suspicious event, and the third sub-system S 1003  for this surveillance system at least comprises: a position-and-momentum transformation module M 301  making use of position-and-momentum Fourier transform to analyze scientific rationality of the observation derived from captured free electrons; and a time-and-frequency transformation module M 302  making use of a time-and-frequency Fourier transform to analyze scientific rationality of the observation derived from decoherenced quantum states. If there is any unreasonable observation determined by the third sub-system S 1003 , it will trigger the fourth sub-system S 1004  which applies analysis based on Lotka-Volterra competition models and comprises: a Lotka-Volterra competition model mapping unit U 112  which conducts competitive Lotka-Volterra equations (such as: 
     
       
         
           
             
               
                 
                   
                     
                       
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     on the observations to perform a mapping process between an initial state and a final state from a dynamical-system point of view; and a Lorentz-invariant verification unit U 113  which verifies that there is no Lorentz invariant existing on the mapping process. Once the Lorentz-invariant verification unit U 113  determines that there is no Lorentz invariant existing in the space-time of a Lorentz transform within a specific observed duration according to the analysis on the variation of time-space between observed initial state and observed final state, that means the elements of the observations cannot be expressed by a trivial representation since there is an element that failed to be mapped to a zero vector (one-dimensional linear mapping). It implies that some element(s) of the observation has been degenerated due to some impact of external effect which may relate to quantum-computing threats that caused the unreasonable variation. 
     Referring to the same embodiment, combining these elements in an implementation of software, hardware, or a combination of software and hardware into a third sub-system S 1003  and a fourth sub-system S 1004 , as a Fourier-transforms-analysis sub-system and a dynamic-model-evaluation sub-system, it not only can effectively determine the scientific rationality of the observed variation for a suspicious event, but also facilitates determination of whether the suspicious event should be further analyzed for determining it is a quantum-computing threat since some element(s) of the observations has been degenerated due to an external impact. This is an effect that cannot be achieved by conventional technology. 
     Further, also referring to  FIG.  5 A , in an embodiment, in order to verify the scientific rationality based on the observations of captured free electrons via a set of practical processes and then make suitable decisions for the result of verification, the third sub-system S 1003  not only drives the position-and-momentum transformation module M 301  to perform a position-and-momentum Fourier transform on the observations of captured free electrons, but further comprises the following units for performing required processes (shown as blocks p 201 ˜p 205  in  FIG.  5 A ): a spectral analysis unit U 102 , a basis resolution unit U 103 , an uncertainty-principle verification unit U 104 , a block-list unit U 105 , and a wave-function database unit U 106 . Wherein, the spectral analysis unit U 102  performs spectral analysis process p 201  on the result of the position-and-momentum Fourier transform for the observations of captured free electrons to confirm whether there is a possible quantum harmonic oscillator within the observations so as to derive a linear combination of quantum harmonic oscillators; the basis resolution unit U 103  performs a basis resolution process p 202  for resolving the derived linear combination of quantum harmonic oscillators to derive corresponding bases; and the uncertainty-principle verification unit U 104  performs an uncertainty-principle verification process p 203  to verify whether the result of the position-and-momentum Fourier transform for the observations of captured free electrons fits the uncertainty principle. Once the uncertainty-principle verification unit U 104  determines that the result of the position-and-momentum Fourier transform fits the uncertainty principle and the bases can be derived by the basis resolution unit U 103  successfully, the block-list unit U 105  will add the bases into a block list so that the system can help to perform a process p 204  for blocking such quantum communication when a combination of the related suspicious bases is condemned as a threat in the future. Moreover, the wave-function database unit U 106  can perform a process p 205  for storing wave functions expressed by the corresponding linear combination of quantum harmonic oscillators into a database so that the system will be able to perform further analysis and tracing policies in the future. 
     Also referring to  FIG.  5 B  for the same embodiment, in order to achieve the goal of the above-mentioned process p 205  performed by the wave-function database unit U 106 , p 205  usually includes the following subroutines (as shown in blocks p 2051 ˜p 2055 ) in steps: 1) a subroutine p 2051  for deriving the bases of the linear combination of quantum harmonic oscillators, wherein the bases can stand for a specific wave function; 2) a subroutine p 2052  for deriving the ZPE (zero point energy) of the quantum harmonic oscillator with the resolved bases, and expressing the corresponding eigen state of the ZPE with creation operator and annihilation operator; 3) a subroutine p 2053  for performing a dimensionless quantity operation on the quantum harmonic oscillator to derive natural scales for length and energy; 4) a subroutine p 2054  for making use of a displacement operator on a vacuum state to derive a coherent state which is an eigenstate of the annihilation operator (for example: 
     
       
         
           
             
 
             
               
                 
                   
                     
                       
                         
                           
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     where |α  is a coherent state); and 5) a subroutine p 2055  for making a combination of bases, ZPE, natural scales, and the derived coherent state as a specific pattern for storing in a wave-function database. 
     Referring to the same embodiment, combining these elements in software, hardware, or a combination of software and hardware into a Fourier-transforms-analysis sub-system S 1003  for collaborating with a position-and-momentum transformation module M 301 , it not only effectively facilitates to analyze the abnormal variation of potential energy based on the observation of captured free electrons so as to determine whether the analyzed event is a suspicious event, but also facilitates future security policies and condemnations via making use of the patterns stored in a proprietary database. This is an effect that cannot be achieved by conventional technology. 
     Further referring to  FIG.  6 A , in an embodiment, in order to verify the scientific rationality based on the observations derived from decoherenced quantum states via a set of practical processes and then make suitable decisions for the result of verification, the third sub-system S 1003  not only drives the time-and-frequency transformation module M 302  to perform time-and-frequency Fourier transform on the observations derived from decoherenced quantum states, but further comprises the following units for performing required processes (shown as blocks p 301 ˜p 304  in  FIG.  6 A ): a temperature-controller unit U 107 , an optical-interference resistant unit U 108 , a ZPE analysis unit U 109 , a covariance-and-correlation analysis unit U 110 , and a true-randomness analysis unit U 111 . Wherein, as shown in block p 301 , the temperature-controller unit U 107  and the optical-interference resistant unit U 108  collaborate with a decoherence measurement process p 301  so as to confirm that the current abnormal observations of decoherenced states are not caused by temperature or optical interference factors. A suggested implementation of U 107  and U 108  for p 301  is to work with a temperature sensor (as a U 107 ) and a LIDAR (light detection and ranging) device (as a U 108 ); so that according to the information derived from U 107  and U 108 , p 301  can verify whether there is any significant variation on temperature or light related factors in the local communication environment before, during, and after a specific observed duration. Thereafter, as shown in block p 302 , according to the result of the time-and-frequency Fourier transform on the observations of decoherenced states, the ZPE analysis unit U 109  performs a ZPE (zero-point energy) analysis process which confirms that the expected value of the current abnormal observations on decoherenced states are not closed to the expected value of ZPE. Once the ZPE analysis unit U 109  determines the above two expected values are significantly closed to each other based on a reasonable confidence level, that implies the current abnormal decoherenced observations are caused by ZPE factors, the third sub-system S 1003  will by-pass the analyzed event directly. Otherwise, as shown in both blocks p 303  and p 304 , the covariance-and-correlation analysis unit U 110  collaborates with a true-randomness analysis unit U 111  to perform a covariance-and-correlation analysis process p 303  which includes a set of subroutines with coded algorithms for analysis on the result of the time-and-frequency Fourier transform on the observations of decoherenced states, so as to confirm that the current abnormal observations are not caused by factors of the local quantum communication environment. Wherein, the true-randomness analysis unit U 111  usually collaborates with a QRNG (quantum random number generator) Device-04 for calibration first, and then support U 110  to perform a true-randomness analysis process p 304  on the observations of decoherenced states for confirming whether the current abnormal observations are in randomness. 
     Also referring to  FIG.  6 B  which is an illustration of an embodiment for implementing main subroutines of p 304  for a covariance-and-correlation analysis unit U 110  collaborating with a true-randomness analysis unit U 111  to confirm that the distribution of decoherenced states doesn&#39;t fit true randomness, the workflow driven by the covariance-and-correlation analysis unit U 110  usually includes the following subroutines (as shown in blocks p 401 ˜p 405 ): 1) a subroutine p 401  for discarding the observations and bypassing the following processes when there is a result confirmed by the above-mentioned ZPE analysis unit U 109  that there is a ZPE factor with the observations in a specific duration; 2) a subroutine p 402  for running a statistical test suite offered by NIST (for example: SP800-22 Test Suite published by National Institute of Standards and Technology) to confirm that the distribution of decoherenced states doesn&#39;t fit true randomness; 3) a subroutine p 403  for running a diehard test suite (for example: METAS Certification Test) to confirm that the distribution of decoherenced states doesn&#39;t fit true randomness; 4) a subroutine p 404  for running a frequency test suite (including monobit and block test) on a normalized result of the distribution derived from the time-and-frequency Fourier transform on the observations of decoherenced states, so as to confirm that the distribution doesn&#39;t fit true randomness; and 5) a subroutine p 405  for running a discrete Fourier transform test suite on a normalized result of the distribution derived from the time-and-frequency Fourier transform on the observations of decoherenced states, so as to determine whether there is periodic feature with the distribution. Wherein, p 402 ˜p 405  are not necessary to be performed in sequence; and once any of them can determine the observed decoherence doesn&#39;t fit true randomness, U 110  will be able to by-pass other subroutines and complete p 304  directly for saving system resources. 
     However, the above-mentioned processes p 401 ˜p 405  are mainly for determining that the distribution of decoherenced states doesn&#39;t fit true randomness in an observed duration first. Furthermore, in order to achieve the goal of the above-mentioned p 303  to confirm that the current abnormal observations are not caused by factors of local quantum communication environment, also referring to  FIG.  6 C  for an embodiment in more details, the process p 303  shall include the following subroutines with coded algorithms (shown as blocks p 501 ˜p 507 ): 1) a subroutine p 501  for running a statistical test suite offered by NIST and a diehard test suite on QRNG to confirm that the output derived from the current QRNG is qualified enough first; and then 2) a subroutine p 502  for performing a discrete-Fourier-transform analysis to determine whether there is periodic factor with the distribution derived from a time-and-frequency Fourier transform on the observations of decoherenced states. After the subroutine p 502  determining that there is a periodic factor with the observed distribution, the following subroutines will be triggered: 1) a subroutine p 503  for performing an analysis on covariance and coefficients of correlation to confirm that there is no correlation between the output derived from QRNG and the distribution derived from the time-and-frequency Fourier transform on the observations of decoherenced states; 2) a subroutine p 504  for performing an analysis on covariance and coefficients of correlation to confirm that there is no correlation between the distribution derived from the time-and-frequency Fourier transform on the observations of decoherenced states and a linear equation, and it implies trying to filter out the event caused by linear issues (for example: temperature related factors); 3) a subroutine p 505  for performing an analysis on covariance and coefficients of correlation to confirm that the distribution derived from the time-and-frequency Fourier transform on the observations of decoherenced states does not concentrate on a specific narrow interval, and it usually implies trying to filter out an occasional incident related to the local communication environment; 4) a subroutine p 506  for performing an analysis on covariance and coefficients of correlation to confirm that there is no correlation between the distribution derived from the time-and-frequency Fourier transform on the observations of decoherenced states and the spin entropy of the decoherenced states, and it usually implies trying to filter out an event caused by the temperature variation of the local communication environment; and 5) a subroutine p 507  for performing an analysis on covariance and coefficients of correlation to confirm that there is no correlation between the distribution derived from the time-and-frequency Fourier transform on the observations of decoherenced states and the entropy of the decoherenced states from phase space, and it usually implies trying to filter out an event caused by the quality of optical transmission in the local communication environment. Thereby, once the covariance-and-correlation analysis unit U 110  determines that the current abnormal observations of decoherenced states are not in randomness nor caused by factors of the local quantum communication environment, the third sub-system S 1003  will be able to treat the abnormal event as a suspicious event. 
     Thus, the third sub-system S 1003  as a Fourier-transforms-analysis sub-system can efficiently drive the position-and-momentum transformation module M 301  and the time-and-frequency transformation module M 302  to determine a suspicious event which triggers further risky analysis performed by the fourth sub-system S 1004  which is a dynamic-model-evaluation sub-system. Referring to the same embodiments, combining these elements in software, hardware, or a combination of software and hardware into a Fourier-transforms-analysis sub-system S 1003 , it not only can effectively facilitate analyzing of the abnormal observations of free electrons at first sight and the further check observed decoherenced states so as to determine whether the analyzed event is a suspicious event, but also helps to classify the abnormal observations of decoherenced states. Since an abnormal observation of decoherenced states may be caused by a regular factor such as a local quantum communication environment issue, it is important to identify and classify the observed decoherenced states so as to depress false alerts for a quantum communication surveillance system. This is an effect that cannot be achieved by conventional technology. 
     In an embodiment, referring to  FIG.  4 A , in order to classify a possible quantum-computing threat, the fourth sub-system S 1004  for analysis based on dynamic models (such as Lotka-Volterra competition model) not only applies a Lotka-Volterra equation module M 401  but further comprises: a universe-variability analysis unit U 114 , a gravitational-redshift analysis unit U 115 , and a ripple-in-spacetime detection unit U 118 . Wherein, after the Lorentz-invariant verification unit U 113  of the fourth sub-system S 1004  determines that there is no Lorentz invariant existing in the space-time of the Lorentz transform within a specific duration across the mapping process performed by the Lotka-Volterra competition model mapping unit U 112 , the universe-variability analysis unit U 114  performs a universe-variability analysis process so as to confirm whether the current quantum communication environment is impacted by factors of space curve, space collapse, or space singularity. Wherein, U 114  mainly performs verifications to check the following factors in the universe-variability analysis process: 1) whether the observed optical frequency is changed with variation of polarized states; 2) whether the observed optical frequency is changed with absorption of electrons; 3) whether the observed optical frequency is changed with scattering of alpha particles; 4) whether there is a significant occurrence of degenerated states on the observed free electrons; 5) whether there is EIT (Electromagnetically Induced Transparency) on the observed free electrons; and 6) whether there is a significant change of electric dipole on the observed free electrons. Meanwhile, the gravitational-redshift analysis unit U 115  performs gravitational-redshift analysis process for checking whether there is a meaningful variation on optical frequency and optical wavelength in the local quantum communication environment, wherein the decreasing ratio of optical frequency is equivalent to the increasing ratio of optical wavelength and vice versa, so as to confirm whether the local quantum communication environment is impacted by factors of gravity anomaly due to close-to or far-away of a gravity field. Besides, the ripple-in-spacetime detection unit U 118  performs a gravity-wave analysis process including a set of subroutines so as to confirm whether the current quantum communication environment is impacted by factors of ripple in spacetime. 
     Still referring to  FIG.  4 A , in another embodiment, in order to verify a possible quantum-computing threat, the fourth sub-system S 1004  for analysis based on dynamic models (such as Lotka-Volterra competition model) not only applies a Lotka-Volterra equation module M 401  but further collaborates with a local-hidden-variables analysis unit U 120  to determine whether there is time related factor impacting on observed decoherenced states so as to collaborate with a C.S.C.O. (complete set of commuting observables) operation module M 703  for quantum information recovery, wherein the fourth sub-system S 1004  further comprises: a time-dilation analysis unit U 116 , a T-symmetry detection unit U 117 , and a ripple-in-spacetime detection unit U 118 . Wherein, after the Lorentz-invariant verification unit U 113  of the fourth sub-system S 1004  determines that there is no Lorentz invariant existing in the space-time of the Lorentz transform within a specific duration across the mapping process performed by the Lotka-Volterra competition model mapping unit U 112 , the time-dilation analysis unit U 116  performs time-dilation analysis process which verifies whether the Lorentz factor 
     
       
         
           
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     is larger than 1, so as to confirm whether the current quantum communication environment is impacted by factors of time dilation. Meanwhile, the T-symmetry detection unit U 117  performs time-symmetry analysis process which confirms whether there is time reversal invariance in the local quantum communication environment under the condition of discarding the effect of system friction. 
     Besides, the ripple-in-spacetime detection unit U 118  conducts Lorentz transformation in consideration of the principle of relativity which prevents the distortion of the observed information first, and then performs gravity-wave analysis process which applies optical atomic clock related technology and includes a set of subroutines with coded algorithms so as to confirm whether the current quantum communication environment is impacted by factors of gravity waves. Also referring to  FIG.  4 B  as shown in blocks p 601 ˜p 605 , the above-mentioned subroutines performed by the ripple-in-spacetime detection unit U 118  at least comprises: 1) a subroutine p 601  for performing a measurement process to observe the variation of the curvature of the optical path in a specific duration to confirm whether there is gravity-wave related factor; 2) a subroutine p 602  for performing an analysis process via making use of observing regular-pulse radio waves in a specific duration for sensing variation of wave length to confirm whether there is gravity-wave related factor; 3) a subroutine p 603  for performing a decay-rate analysis on the quantum communication environment to check whether there is significant variation of the decay rate in a specific duration so as to confirm whether there is a gravity-wave related factor; 4) a subroutine p 604  for performing a redshift-and-blueshift measurement process to derive a ratio of two observed optical frequencies and a ratio of two observed optical wave-lengths in a specific duration for the local quantum communication environment to verify whether the two absolute values of the above two ratios can be treated as equivalent so as to confirm whether there is a gravity-wave related factor; and 5) a subroutine p 605  for performing an optical-clock analysis on the α-variation enhancement factor of hyperfine structure (for example: 
     
       
         
           
             
               
                 
                   
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     K is the α-variation enhancement factor, and q implies the variation of transition energy based on E 0  which is a configured central energy for an optical atomic clock) to determine whether there is a significant variation value between two enhancement factors observed in a specific duration so as to confirm whether there is a gravity-wave related factor. For an efficient way in practice, in an embodiment, the ripple-in-spacetime detection unit U 118  can check whether one of p 601 ˜p 603  is satisfied first, and then verify whether one of p 604 ˜p 605  can be satisfied so as to determine the analyzed event is significantly impacted by gravity-wave related factors. 
     Referring to the same embodiments, combining the above elements in software, hardware, or a combination of software and hardware into a fourth sub-system S 1004  as a dynamic-model-evaluation sub-system, it not only helps to confirm some element of a suspicious observation has been degenerated due to an external effect, but also help to confirm the risky change is not due to factors of universe variability, gravity variation, or gravity waves, and meanwhile there is time reversal invariance within the observations. That facilitates to determine a risky event actually related to quantum-communication threats. Thereby, besides suppressing most of the possible false alerts by checking factors of time, space, and gravity waves, the technology of this fourth sub-system is able to determine whether there is a significant variation of the local quantum communication environment, and it is possible to raise an alert for a wrong teleportation configuration as well. This is an effect that cannot be achieved by conventional technology. 
     In addition, in some embodiments, referring to  FIG.  7   , in order to trace possible quantum-computing threats in quantum communication environments, via technology of Bell measurement and means of local-hidden-variables analysis, the system further comprises a fifth sub-system S 1005  for performing quantum-teleportation analysis processes to label or characterize various teleportation channels, and a sixth sub-system S 1006  for logging and analyzing history threats. To achieve the above effects, the fifth sub-system S 1005  at least comprises: a Bell-measurements analysis unit U 119  for performing Bell-measurements analysis processes which confirm that the observation violates local realism first in order to assure that the current observation is entanglement, and then find the cases that the received quantum state is not in maximum entanglement via the way of entanglement measures; and a local-hidden-variables analysis unit U 120  for performing local-hidden-variables analysis process which makes use of Gisin&#39;s theorem (published by Nicolas Gisin, Switzerland) within the impacted local quantum communication environment to derive all of the possible entangled states according to current observations, and then performs POVM (positive operator-valued measure) operation on the states derived by use of Gisin&#39;s theorem, that implies patterning something related to the local hidden variables in the form of POVM. To explain more, considering that the observations are already confirmed to violate local realism, since all of the possible entangled states derived with Gisin&#39;s theorem implies disclosing all possible observed types of predictions regarding the future behavior of the system which lacks off maximum entanglement, it is reasonable to the surveillance system to treat the possible entangled states in the form of POVM as a pattern related to the influence of local hidden variables. Thereby, the present invention can label an observed teleportation channel in this way. In this embodiment, according to the result of analysis performed by the third sub-system S 1003  and the fourth sub-system S 1004 , the system can define such an event that implies there is some unusual hidden variable within the local quantum communication environment which is worth logging the analyzed states as a pattern in the form of POVM for identifying a specific quantum teleportation channel related to some quantum-computing threat. 
     In the same embodiments, still referring to  FIG.  7   , once the fifth sub-system S 1005  determines that the current event should be logged, it will trigger the sixth system S 1006  for tracing history logs, and the sixth sub-system S 1006  at least comprises: an event-alert module M 601 , a quantum communication blocking module M 602 , a key recycling module M 603 , a history-logs classification module M 604 , and a behavior analysis module M 605 . Wherein, the event-alert module M 601  provides alerts for possible quantum-computing threats or quantum communication quality events. An implementation of the event-alert module M 601  is preparing a virtual machine to receive notifications sent from different sub-systems (S 1001 ˜S 1004 ) for different levels of alert. For example, defining the levels of alert as abnormal-1, abnormal-2, suspicious-1, suspicious-2, and threat-1, S 1001  and S 1002  provide notification of abnormal events with alerts of abnormal-1 and abnormal-2 to M 601 ; S 1003  provides notification of suspicious events with alerts of suspicious-1 and suspicious-2 to M 601 ; and S 1004  provides notification of risky events with alerts of threat-1 to M 601 . However, this is only a feasible instance for an event-alert module M 601 , and the implementation and deployment of M 601  is not limited thereto. 
     According to the related information (such as the corresponding escalation levels, the patterns stored by a block-list unit U 105  of the third sub-system S 1003  (as shown in  FIG.  5 A ), the patterns stored by a wave-function database unit U 106  of the third sub-system S 1003  (as shown in  FIG.  5 A ), the patterns derived by a local-hidden-variables analysis unit U 120  of the fifth sub-system S 1005  (as shown in  FIG.  7   ), or the data stored by a history-logs classification module M 604  of the sixth sub-system S 1006  (as shown in  FIG.  7   )), the quantum communication blocking module M 602  determines whether and how to block a quantum communication. However, this is only a feasible instance for a quantum communication blocking module M 602 , and the implementation and deployment of M 602  is not limited thereto. Meanwhile, the key recycling module M 603  determines whether to enable a key-recycling process according to an observed attacking cycle of a quantum-computing threat. Here the mentioned key-recycling process means a generic key recycling mechanism which is usually adopted by a KMS (key management system), and M 603  mainly focus on determining a timing to trigger the key-recycling process due to security concerns. Besides, the history-logs classification module M 604  stores the event data into a file system for history logs, and classifies the received event data. Moreover, the behavior analysis module M 605  performs behavior analysis on the event data stored and classified by M 604  as possible quantum-computing threats, wherein the behavior analysis finds the periodicity of the alerted events, analyzes common bases of quantum states from a bunch of history events, and performs analysis on entanglement measures. Thereby, M 605  will be able to condemn a malicious or suspicious behavior within a quantum communication. 
     Referring to the same embodiments, combining these elements in software, hardware, or a combination of software and hardware into a quantum-teleportation analysis module for the fifth sub-system S 1005  and a set of log-and-trace services as the sixth sub-system S 1006 , it not only can effectively facilitate identification of a risky quantum-teleportation channel, but also helps to log the related quantum-computing threats for required responses and further analysis so as to lock on a quantum-computing threat in a practical way. This is an effect that cannot be achieved by conventional technology. 
     Referring to  FIG.  8   , in an embodiment, in order to perform suitable actions on impacted quantum information (or states), the system further comprises a seventh sub-system S 1007  via means of signal-loss correction for performing information recovery processes to recover impacted quantum information or Qubits occasionally caused by factors of time dilation, time-asymmetry, or ripple in spacetime (gravity waves). To achieve such effect, the seventh sub-system S 1007  collaborates with an optical-interference resistant unit U 108  of the third sub-system S 1003  and at least comprises: a photon capture-and-storage module M 701 , a prototype-quantum-node recovery module M 702 , and a C.S.C.O. operation module M 703 . Based on the operations with U 108 , M 701 , M 702 , and M 703 , the means of signal-loss correction will be performed. Wherein, the photon capture-and-storage module M 701  facilitates capturing and storing photons at least for milliseconds via controlling a prototype-quantum-node recovery module M 702 . Usually, M 701  is coded logics performed by processors to drive M 702  which can be a device made of components with silicon-vacancy color centers (such as diamond). Meanwhile, the prototype-quantum-node recovery module M 702  provides ability to catch, store, and re-entangle bits of quantum information for correction of signal loss. Besides, the C.S.C.O. operation module M 703  performs processes for making use of C.S.C.O. (complete set of commuting observables) to recover degenerated quantum information or qubits, wherein the processes mainly include the following subroutines: 1) a subroutine for performing non-orthogonal conversion on the observed quantum states to derive eigen states on an orthogonal coordinate system first; 2) a subroutine for validating whether a Hermitian transform is applicable for the derived eigen states; 3) a subroutine which performs phase correction on the derived eigen states to confirm there is still a degenerated state, and then verifies the dimension of observed state so as to perform a matrix operation for making use of C.S.C.O. (Complete set of commuting observables) to recover the degenerated state if the above-mentioned Hermitian transform is applicable, and then gets a recovered completed result for maintaining the completeness of the received quantum states; and at last  4 ) a subroutine to determine the analyzed event as a quantum-computing threat directly once the above subroutines are failed to recover the degenerated quantum state in a reasonable duration. 
     Referring to the same embodiments, combining these elements in software, hardware, or a combination of software and hardware into a seventh sub-system S 1007  as a quality service for the current quantum communication, it not only can effectively maintain the quality of quantum transmission via optical paths, but also helps to recover the degenerated quantum states. This is an effect that cannot be achieved by conventional technology. 
     In addition, referring to  FIG.  9 A , in some embodiments, in order to efficiently classify a specific quantum-computing threat which relates to factors of gravity waves, once the position-and-momentum transformation module M 301  of the third sub-system S 1003  determines that there is a suspicious event, the third sub-system S 1003  will collaborate with the decoherence monitoring unit U 101  of the first sub-system S 1001  to confirm that there is not only space-time variation but also abnormal decoherenced states in current quantum communication environment, and then collaborates with a ripple-in-spacetime detection unit U 118  of the fourth sub-system S 1004  to perform a gravity-wave analysis process on variation of optical frequency and variation of time dilation via making use of optical atomic clocks, so as to determine whether the local quantum communication environment is impacted by factors of gravity waves. In brief, since finding a gravity-wave related event is usually valuable and the regular workflow from the first sub-system S 1001  to the fourth sub-system S 1004  may cost more for finding a gravity-wave related event,  FIG.  9 B  illustrates that the above mentioned embodiments implement a quick path on the work flow to find such events via the following steps (shown as p 701 ˜p 704 ): 1) seeing there is an abnormal event due to monitoring on specific free electrons via making use of the environment-pre-checking module of the first sub-system, and the second sub-system confirms the current entanglement is not stable; 2) the above abnormal event is determined as a suspicious event via making use of the position-and-momentum transformation module of the third sub-system; 3) also confirms there is abnormal decoherence in the local communication environment; and 4) performing gravity-wave analysis process on variation of optical frequency and variation of time dilation via making use of optical atomic clock related technology. 
     However, still referring to  FIG.  9 A , in the same embodiments, if the ripple-in-spacetime detection unit U 118  fails to determine that the local quantum communication environment is impacted by factors of spacetime variation (related to gravity waves), the third sub-system will trigger the time-and-frequency transformation module M 302  to determine whether the current abnormal decoherenced states also involves suspicious factors and whether the third sub-system should collaborate with a set of subroutines with coded algorithms for performing C.S.C.O. (complete set of commuting observables) operations on the decoherenced states for quantum information recovery, and whether to prepare hyper-entangled states for collaborating with a security communication unit to secure and stabilize current quantum communication via making use of QSDC (quantum secure direct communication) protocol. Wherein the consideration to implement such an embodiment is that even the system cannot determine the current event is related to gravity-wave factors, since the position-and-momentum transformation module M 301  and the time-and-frequency transformation module M 302  have determined that both of the observed specific free electrons and observed decoherence are not in scientific rationality, that implies there is still some unknown space-time factors affecting the local communication environment, thus the system still needs to be concerned with information recovery and robust transmission. 
     Thereby, the above embodiments of the present invention support to implement a surveillance system for use in quantum communication environments to resist quantum-computing threats in various quantum-teleportation channels. The present invention provides a complete architecture of quantum-computing threat resistance for general quantum communication environments. This technology can be implemented on a transceiver or a cloud service platform meanwhile collaborating with apparatuses for capturing and monitoring specific free electrons outside the surface of optical transmission media for various light sources. In some embodiments, this technology not only detects and blocks quantum-computing threats, but is also optional to implement basic or advanced counterattacking modules. In addition, the relevant technical means of this system can be practiced by devices working in general environments, and also provides several effects of quantum cyber-security mechanism that cannot be supported by the current PQC or QKD schemes for use in a quantum communication, for example, a sub-system for supporting event alerts and history logs, and a proprietary database of patterns, so as to facilitate a 24/7 security communication service. 
     While the present disclosure has been described by means of specific embodiments, numerous modifications and variations could be made thereto by those skilled in the art without departing from the scope and spirit of the present disclosure set forth in the claims.