Patent Publication Number: US-10790432-B2

Title: Cryogenic device with multiple transmission lines and microwave attenuators

Description:
BACKGROUND 
     The subject disclosure relates generally to cryogenic devices and, more particularly, to cryogenic devices having multiple transmission lines with microwave attenuators on a high thermal conductivity substrate to reduce heat and thermal noise during quantum computing. 
     Supercomputers (e.g., quantum computers) are powerful machines capable of processing information substantially faster and more efficiently than general computers. Built on principles of quantum physics, quantum computing can execute new types of algorithms and process information more holistically than conventional computing systems. Quantum computers can be used for new drug discovery, optimization of man-made systems, artificial intelligence and a host of other applications. 
     Quantum computers are based on operation of qubits, which operate according to principles of quantum physics: superposition and entanglement. Superposition means that a qubit represents both values of 1 and 0 at the same time. Entanglement means that the qubits can be correlated with each other wherein the state of one qubit can depend on the state of another qubit. Using these principles, qubits can act as sophisticated switches. A single qubit can represent both values 0 and 1 simultaneously (or concurrently) and in combinations. Two qubits can represent four values simultaneously (or concurrently) (e.g., 00, 01, 10, 11). Similarly, three qubits can represent 2 3  values and 50 qubits can represent 2 50  values simultaneously (or concurrently). 
     Quantum bits can be implemented in several vastly different systems ranging from traveling photons to micro fabricated electrical circuits. In the latter case the qubits typical operate in the few gigahertz regime. This makes the qubits sensitive to thermal noise. To protect qubits from thermal noise, they are cooled down to temperatures of only a few millikelvin using for instance cryogenic dilution refrigerator. Control and measurements signals for the quantum bits are delivered through microwave coaxial lines. Due to limitations of the number of qubits that can be multiplexed per line several input lines are typically needed to operate a quantum processor. To operate the quantum computer efficiently, significant amount of attenuation is applied at each stage of refrigeration to protect the qubit from thermal noise. However, a drawback of such system is that using a discrete attenuator for each becomes impractical for more than a few lines (for example, more than 50 lines). To increase drive line density, attenuators with small footprint becomes necessary. Furthermore, microwave lines must be connected between the stages in the cryostat using high density connections rather than individual connections. 
     There have been several efforts to apply attenuation by using different sizes and types of attenuators. Currently, sub-miniature version A (SMA)/sub-miniature push-on (SMP) attenuators are used. However, these styles of attenuators are large (e.g., approximately 5 millimeters (mm) diameter) and thus not practical as more input lines are added. Integrated solutions such as microelectromechanical system (MEMS) attenuators, are small, but are difficult to combine and difficult to assemble. Further, these existing solutions do not achieve the desired result of implementing an integrated solution that uses multiple attenuators on a single substrate for quantum applications while maintaining low crosstalk (e.g., signal leakage between transmission lines). With some solutions, crosstalk is too high when attenuators are close to each other. Also, the substrate used in these solutions do not provide adequate thermalization (e.g., extraction of heat that is generated when signal power is reduced by attenuators), which can impact the qubit. Finally, these options are not miniaturized to allow increasing line density. 
     SUMMARY 
     The following presents a summary to provide a basic understanding of one or more embodiments of the invention. This summary is not intended to identify key or critical elements, delineate scope of the embodiments or scope of the claims. Its sole purpose is to present concepts in a simplified form as a prelude to the more detailed description that is presented later. In one or more embodiments described herein, systems, methods, apparatus and/or computer program products that facilitate cryogenic devices are described. 
     According to an embodiment, a device is provided. In one example, the device comprises a substrate having a thermal conductivity above a defined threshold. In one or more implementations, a plurality of transmission lines fabricated on the substrate and arranged with a separation gap between the plurality of transmission lines to maintain crosstalk below −50 decibels (dB). In one or more implementations, the device comprises one or more microwave attenuators embedded on the plurality of transmission lines. The advantage of such a device is that a manufacturer of a quantum computer can increase the number of drive lines that can be installed in the cryostat using a small footprint while maintaining low crosstalk between lines. 
     In some examples, the microwave attenuators comprise of a metal alloy composed of a material selected from the group consisting of Nichrome, Constantan, and Manganin. The advantage of such a device is that a cryogenic device according to innovation can operate under various temperatures while maintaining the desired microwave attenuators in the transmission line. 
     In another embodiment, a method is provided. In one example, the method comprises forming a plurality of transmission lines on a substrate comprised of a material having a thermal conductivity greater than a defined value, where the plurality of transmission lines are arranged with a separation gap between the plurality of transmission lines to maintain crosstalk below −50 dB. In one or more implementations, the method comprises embedding microwave attenuators on respective ones of the plurality of transmission lines. An advantage of such method is that a manufacturer of a quantum computer can increase the number of qubits that can be operated by increasing the transmission lines using a small footprint while maintaining crosstalk below a threshold. 
     In some examples the microwave attenuators can be formed from a metal alloy composed of a material selected from the group consisting of Nichrome, Constantan, and Manganin. An advantage of such method is that a cryogenic device according to the innovation can operate under various temperatures while maintaining the desired microwave attenuators in the transmission line. 
     In another embodiment, a structure is provided that includes a substrate comprising a material selected from a group consisting of Sapphire, Silicon and Gallium Arsenide. In one or more implementations, the structure comprises a plurality of transmission lines fabricated on the substrate and arranged such that crosstalk between the plurality of transmission lines is below −50 dB. In some embodiments, the structure comprise one or more microwave attenuators embedded in a transmission line of the plurality of transmission lines, where the attenuation value of a microwave attenuator of the one or more microwave attenuators are set to a desired attenuation level. The advantage of such a structure is that a manufacturer of a quantum computer can increase the number of qubits that can be operated by increasing the transmission lines while maintaining a small footprint and maintaining crosstalk below a threshold. 
     In some examples, the structure further comprises a metal alloy coupling the microwave attenuator to the substrate. The advantage of such a structure is that a cryogenic device according to innovation can operate under various temperatures while securing the microwave attenuators on the substrate. 
     In another embodiment, a method is provided that comprises forming a substrate comprising material selected from a group consisting of Sapphire, Silicon and Gallium Arsenide. In one or more implementations, the method further comprises forming a plurality of coplanar waveguides on the substrate and arranged with a defined separation gap between the plurality of coplanar waveguides to achieve crosstalk of less than minus 50 decibels. In one or more implementations, the method further comprises embedding one or more microwave attenuators on a transmission line of the plurality of coplanar waveguides, where dimensions of a microwave attenuator of the one or more microwave attenuators are based on a defined attenuation level. The advantage of such a method is that a manufacturer of a quantum computer can increase the number of qubits that can be operated by increasing the transmission lines while maintaining a small footprint and maintaining crosstalk below a threshold. 
     In some examples, the method can further comprise coupling a metal alloy between at least one of the one or more microwave attenuators and at least one of the plurality of coplanar waveguides. In one or more implementations, the method comprises coupling the at least one of the one or more microwave attenuators to the substrate via a resistive material. An advantage of such method is that a cryogenic device according to innovation can operate in cryogenic temperatures while securing the microwave attenuators on the substrate. 
     In another embodiment, a method is provided that comprises forming a substrate having a thermal conductivity greater than 100 watts per meter-Kelvin. In one or more implementations, the method further comprises forming a plurality of coplanar waveguides on the substrate and arranged with a defined separation gap between the plurality of coplanar waveguides to achieve crosstalk of less than minus 50 decibels. In one or more implementations, the method further comprises forming one or more connectors positioned around at least a portion of the substrate and connected to the plurality of transmission lines, wherein the connectors have a density greater than 1 connection per 5 mm. The advantage is that the substrate and the transmission lines can then easily be connected to high density microwave connectors rather than individual connectors. 
    
    
     
       DESCRIPTION OF THE DRAWINGS 
         FIG. 1  illustrates an example, non-limiting dilution refrigeration system in accordance with one or more embodiments described herein. 
         FIG. 2  illustrates an example, non-limiting cryogenic device in accordance with one or more embodiments described herein. 
         FIG. 3  illustrates an example, non-limiting integrated microwave attenuator in accordance with one or more embodiments described herein. 
         FIG. 4  illustrates an example, non-limiting integrated microwave attenuator in accordance with one or more embodiments described herein. 
         FIG. 5  illustrates an example, non-limiting arrangement of transmission lines in accordance with one or more embodiments described herein. 
         FIG. 6  illustrates an example, non-limiting expanded view of the cryogenic device of  FIG. 2  in accordance with one or more embodiments described herein. 
         FIG. 7  illustrates example, non-limiting simulation data from testing of the cryogenic device in accordance with one or more embodiments described herein. 
         FIG. 8  illustrates a flow diagram of an example, non-limiting computer-implemented method that facilitates implementing a cryogenic device in accordance with one or more embodiments described herein. 
         FIG. 9  illustrates a flow diagram of an example, non-limiting computer-implemented method that facilitates implementing a cryogenic device in accordance with one or more embodiments described herein. 
         FIG. 10  illustrates a flow diagram of an example, non-limiting computer-implemented method that facilitates implementing a cryogenic device in accordance with one or more embodiments described herein. 
         FIG. 11  illustrates an example, non-limiting cryogenic device in accordance with one or more embodiments described herein. 
     
    
    
     DETAILED DESCRIPTION 
     The following detailed description is merely illustrative and is not intended to limit embodiments and/or applications or uses of embodiments. Furthermore, there is no intention to be bound by any expressed or implied information presented in the preceding Summary section, or in the Detailed Description section. 
     One or more embodiments are now described with reference to the drawings, wherein like referenced numerals are used to refer to like elements throughout. In the following description, for purposes of explanation, numerous specific details are set forth in order to provide a more thorough understanding of the one or more embodiments. It is evident; however, in various cases, that the one or more embodiments can be practiced without these specific details. 
     Given the aforementioned issues with conventional implementation of attenuators on transmission lines, one or more embodiments can be implemented to produce a cryogenic device with multiple transmission lines that provide a solution to one or more of those issues. In one or more embodiments, a miniaturized solution is provided that will maintain crosstalk below −50 dB by using multiple integrated microwave attenuators on a high thermal conductivity substrate. As used herein, the term “high thermal conductivity” means a thermal conductivity greater than about 100 Watt per meter-Kelvin. The miniaturized solution provides cost efficiencies, scalability to use more input lines that will process higher number of qubits, and easy to assemble. Such a cryogenic device can have an advantage of improved scaling because of a reduced footprint while maintaining crosstalk below −50 dB. Such cryogenic device can also have an advantage of providing a miniaturized solution (e.g., a small chip having 50 or more transmission lines) that will allow use of multiple transmission lines in a small space. Such a cryogenic device can also have an advantage of providing easy assembly and can operate in varying temperatures (e.g., room temperature to −4 Kevin (˜459.67 Fahrenheit)). Additionally, such a cryogenic device can be easily configured to use at each stage of a refrigeration process and can operate at different temperatures (e.g., near subzero, 0 Kelvin or −459.67 Fahrenheit). 
       FIG. 1  illustrates an example, non-limiting dilution refrigeration system  100  in accordance with one or more embodiments described herein. As depicted, the dilution refrigeration system  100  comprises an input line  102 , an output line  104 , a 3K plate  106 , a still plate  108 , a cold plate  110 , one or more cryogenic devices  118 ,  120  and  122 , a mixing chamber and a quantum processor  126 . In some examples, the input line  102  and the output line  104  represent multiple transmission lines (described in  FIG. 2 ). Input line  102  and output line  104  transport qubit information to and from the quantum processor  126 , respectively. 
     The refrigeration system  100  comprises a first stage  112 , a second stage  114  and a third stage  116  of refrigeration. In some examples, the cryogenic devices  118 ,  120  and  122  are coupled to the input line  102  at separate stages of refrigeration  112 ,  114  and  116  in the dilution refrigeration system  100 . In some examples, the cryogenic device  118  is coupled to the input line  102  that passes through the first stage of refrigeration  112 , which is formed by the 3K plate  106  and the still plate  108 . The cryogenic device  120  is coupled to the input line  102  that passes through the second stage of refrigeration  114 , which is formed by the still plate  108  and the cold plate  110 . The cryogenic device  122  is placed on the input line  102  in the third stage of refrigeration  116 , which is formed below the cold plate  110 . The third stage of refrigeration comprises a mixing chamber  124  and the quantum processor  126 . The third stage of refrigeration  116  is the coldest stage in the dilution refrigeration system  100 . In some examples, the cryogenic device  122  is coupled to the input line  102  in the mixing chamber  124 . In some examples, the cryogenic devices  118 ,  120  and  122 , can have different configuration for each stages  112 ,  114  and  116  of refrigeration. 
       FIG. 2  illustrates an example, non-limiting cryogenic device  200  in accordance with one or more embodiments described herein. As depicted, a cryogenic device  200  comprises a first connector  204 , a second connector  210  and a substrate  206 . In some examples, a plurality of transmission lines  220  are fabricated on the substrate  206 . Additionally, in some examples, a plurality of integrated microwave attenuators  208  are coupled to the transmission lines  220  to attenuate signal power of the transmission lines  206 . 
     In one or more embodiments, the first connector  204  and second connector  216  comprises high density material and positioned around at least a portion of the substrate  206 . The first connector  204  converts a set of input lines  202  (e.g., coaxial cables), to corresponding transmission lines  220  that are fabricated on the substrate  206 . The second connector  210  converts the transmission lines  220 , to corresponding output lines  214  that can be coaxial cables. In some examples, the connector  204  and the connector  210  can be high density connectors made from spring pins and coupled to transmission lines  220 . In some examples, the connector  204  and the connector  210  can be pogo pings made using high density material. In some embodiments, the connectors  204  and  210  positioned around and connected to the plurality of transmission lines  220 , wherein the connectors  204  and  210  have a density greater than 1 connection per 5 mm. The connectors,  204  and  210 , allow the cryogenic device  200  to connect to other cryogenic devices operating in adjacent stages of refrigeration (e.g.,  112 ,  114  and  116  of  FIG. 1 ). 
     In one or more embodiments, the substrate  206  is constructed with high thermal conductivity material. As used herein, the term “high thermal conductivity” represents a threshold and means thermal conductivity greater than 100 watts per meter-Kelvin (κ&gt;100 watts per meter-Kelvin). In some examples, substrate  206  can have thicknesses of, for example, 5 micrometers to 800 micrometers. Then, in some examples, various materials and thicknesses can be used to construct the substrate  206  to allow operation in varying temperatures (e.g., room temperature to −459.67 Fahrenheit). The substrate  206  is made of high thermal conductive materials capable of maintaining conductivity at cryogenic temperatures. In some examples, the substrate  206  can be constructed using Silicon (Si) and can be as small as 5 mm. In one or more embodiments, different materials can be used to construct the substrate  206 , such as Sapphire, GaAs, Alumina or Quartz that have high thermal conductivity. The advantage of using high thermal conductivity material for the substrate  206  is that smaller surface (e.g., 5 mm substrate  206 ) with multiple transmission lines  220  having integrated microwave attenuators  208  can be utilized while maintaining crosstalk below −50 dB. 
     In one or more embodiments, transmission lines  220  are fabricated on the substrate  206  having high thermal conductivity. The transmission lines  220  are for transmitting qubits, one transmission line for one qubit. In some examples, number of transmission lines  220  can be 100 or more. In some examples, the transmission lines  220  can be formed on the substrate  206  and arranged with a separation gap between the transmission lines to maintain crosstalk below −50 decibels. In some examples, the transmission lines  220  can be coplanar waveguide, which has low crosstalk (e.g., below −50 dB). In some examples, the coplanar waveguides (e.g., transmission lines  220 ) comprises a connection for grounding the integrated microwave attenuators  208 . In some examples, the transmission lines  220  having a predetermined attenuation which does not vary with temperature as the transmission lines  220  are cooled down. The density of these transmission lines  220  can be high, with low crosstalk, such that the connectors  204  and  216  can be attached to the transmission lines  220  on the substrate  206 . The advantage of having high density transmission lines  206  is that higher density of cables can be used in the cryostat. The advantage of using coplanar waveguide for the transmission lines  220  is that a vertical interconnect access (e.g., via) would not be required to ground the integrated microwave attenuators  208 . In one or more embodiments, transmission lines  220  comprises superconductive materials such as microstrip material (e.g. microstrip geometry) or strip-line material (e.g. stripline geometry). 
     In one or more embodiments, the integrated microwave attenuators  208  are embedded on transmission lines  220 . In some examples, one integrated microwave attenuator  208  per one transmission line. In some examples, one or more integrated microwave attenuators  208  can be embedded on a single transmission line to maintain crosstalk below −50 dB. In some examples, a high resistivity material, such as metal alloy, capable of operating from room temperature to subzero temperatures, is used to secure the integrated microwave attenuators  208  to the transmission lines  220 . In some examples, the metal alloy is composed of a material selected from the group consisting of Nichrome, Constantan, and Manganin (e.g., an alloy that consists of Copper, Nickel, and Manganese). In some examples, the integrated microwave attenuator with a Tee (T) configuration is used (discussed in  FIG. 3  below). In some examples, the integrated microwave attenuator with a Pi (π) configuration (not shown) can be used and embedded in the transmission line to control the signal power. 
       FIG. 3  illustrates an example, non-limiting integrated microwave attenuator  300  in accordance with one or more embodiments described herein. As depicted, a integrated microwave attenuator  300  is embedded on a transmission line  308  of the plurality of transmission lines  220  (e.g.,  FIG. 2 ). In some examples, the transmission line  308  is operating at 50 Ohm. In one or more embodiment, the integrated microwave attenuator  300  can be a “T” design and comprises two R1 resistors  302  and  304  and a R2 resistor  306 , wherein the R2 resistor  306  comprises a ground component  312 . The R2 resistor  306  can be coupled to both R1 resistors,  302  and  304 , and provides a grounding functionality. In one or more embodiments, the size of the R1 resistors,  302  and  304 , and R2 resistor  306  is based on the formula provided below. 
     
       
         
           
             
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             A: desired attenuation in dB 
             Z 0 : input/outline impedance, usually 50 Ohm 
           
         
       
    
     In some implementations, level of attenuation required for an integrated microwave attenuator  300  is determined by amount of power that needs to be reduced for the transmission line  308 . Once level attenuation is determined, value of resistors (e.g.,  302 ,  304  and  306 ) can be derived. Once the respective value(s) of the resistors is derived, the amount of resistive material needed can be determined. 
     In one or more embodiments, one or more integrated microwave attenuators  300  are coupled to the substrate  206  via transmission lines  220  using a resistive material (e.g., resistive element), wherein the resistive element exhibits resistivity from room temperature to a cryogenic temperature without a superconducting transition (e.g., zero resistance). In some examples, the shape of the integrated microwave attenuator  300  is determined by using the value of attenuation. 
     In some examples, the resistive material is a high resistivity material, such as metal alloy, with stable features from room temperature to cryogenic temperatures. In some examples, the dielectric resistive material is a high resistivity material nickel chromium (NiCr) having stable resistivity in the temperature range of 270K-0.1K (e.g., cryogenic temperature). 
     In one or more embodiments, the amount and the shape of metal alloy is determined based on resistivity needed. Following formula may be used to generate the dimensions (e.g., amount) of the metal alloy and the dimensions of the integrated microwave attenuator  300 . 
     For example, resistive elements using metal alloy, like NiCr, resistance is defined as R=R s  l/w, where R s  is the sheet resistance. For example, using 75 nanometers deposited NiCr, R s =27Ω. 
     
       
         
         
             
             
         
       
     
       FIG. 4  illustrates an example, non-limiting arrangement  400  of the resistors in accordance with one or more embodiments described herein. In some examples, the integrated microwave attenuator  400  is configured to use two R1 resistors,  402  and  404 , and two R2 resistors  406  and  408 . In some embodiments, both R2 resistors,  406  and  408 , are placed in parallel. In some examples, the size of the resistors R1,  402  and  404 , and R2 resistors  406  and  408  is based on the formula provided above. 
       FIG. 5  illustrates an example, non-limiting arrangement  500  of transmission lines in accordance with one or more embodiments described herein. As depicted, the arrangement  500  comprises a substrate  502  and transmission lines  506  formed thereon. In some examples, as illustrated, the transmission lines  506 , having a height (e.g., thickness) value of “T”  508  and the substrate  502  with a height value of “H”  504 . In some examples, the transmission lines  506  has a gap  510  between the transmission lines  506 . The gap  510  between transmission lines are for maintaining crosstalk between the transmission lines  506  below −50 dB. In some examples, the gap  510  can be adjusted based on the size and shape of the integrated microwave attenuator  300 . In some examples, an impedance of transmission line  506  is kept at 50 Ohm, regardless of size of the integrated microwave attenuator  300 , by adjusting width  512  of transmission line  506 . In some examples, to maintain the impedance level of 50 Ohm for the transmission lines  506 , the values for the height  508 , values for the gap  510  and value for the width  512  are adjusted. 
       FIG. 6  illustrates an example, non-limiting expanded view  600  of the cryogenic device  200  of  FIG. 2  in accordance with one or more embodiments described herein. As depicted, the expanded view  600  of the cryogenic device  200  shows an exemplary arrangement of the transmission lines  602 . The transmission lines  602  are formed with a separation of D1  604  and D2  606 . In some examples, the arrangement of the transmission lines  602  can be based on size of integrated microwave attenuators  610  and the material used (e.g. metal alloy) to secure the integrated microwave attenuators  610  to the transmission lines  602 . Also, the size of the integrated microwave attenuators  610  vary depending on required attenuation of transmission power for the transmission lines  602 . Also, depending on which stage of refrigeration ( 112 ,  114 , or  116  of  100 ,  FIG. 1 ) the cryogenic device  600  is operating in, the size of the integrated microwave attenuator  610  (e.g., H1 value and W1 value) can vary; thereby varying the arrangement of the transmission lines  602 . 
       FIG. 7  illustrates example, non-limiting simulation data  700  from testing of the cryogenic device  200  in accordance with one or more embodiments described herein. As depicted, line  702  illustrates test results generated using an exemplary integrated microwave attenuator  300  according to an embodiment. Line  704  illustrates test results of the reflection coefficient. Lines  706  and  708  illustrate crosstalk levels between the two transmission lines that holds the integrated microwave attenuator  300 . 
     Results from the simulation indicate the following: the integrated microwave attenuator  300  is functioning at constant level, illustrated by line  702 , across the 0 to 20 gigahertz (Ghz) spectrum. The crosstalk level of −20 dB for the integrated microwave attenuator  300  is deemed acceptable and desired. Line  704  focuses on reflection coefficient indicating that the input power is not reflected back to the source but dissipated by the integrated microwave attenuator  300 . The crosstalk between −60 dB and −40 dB, which is 10 dB to 20 dB below the attenuation, is deemed acceptable. The lines  706  and  708  focus on crosstalk between two transmission lines that hold the integrated microwave attenuator  300 . The crosstalk level is below −50 dB for the entire frequency spectrum therefore at an acceptable level. 
       FIG. 8  illustrates a flow diagram of an example, non-limiting computer-implemented method that facilitates implementing a cryogenic device  200  ( FIG. 2 ) in accordance with one or more embodiments described herein. In some examples, flow diagram  800  can be implemented by operating environment  1100 . It can be appreciated that the operations of flow diagram  800  can be implemented in a different order than is depicted. It can also be appreciated that the operations of flow diagram  800  can be implemented in a different order than is depicted. 
     In non-limiting example embodiments, a computing device (or system) (e.g., a computer) is provided comprising one or more processors and one or more memories that stores executable instructions that, when executed by the one or more processors, can facilitate performance of the operations as described herein, including the non-limiting methods as illustrated in the flow diagrams of  FIG. 8 . As a non-limiting example, the one or more processors can facilitate performance of the methods by directing or controlling one or more equipment operable to perform semiconductor fabrication. 
     Operation  802  depicts forming (e.g., by a computer) a plurality of transmission lines  220  ( FIG. 2 ) on a substrate  206  ( FIG. 2 ) comprised of a material having a thermal conductivity greater than a defined value, wherein the plurality of transmission lines  220  are arranged with a separation gap  510  ( FIG. 5 ) between the plurality of transmission lines to maintain crosstalk below −50 decibels. Operation  804  depicts embedding (e.g., by a computer) microwave attenuators  208  ( FIG. 2 ) on respective ones of the plurality of transmission lines  220 . 
       FIG. 9  illustrates a flow diagram of an example, non-limiting computer-implemented method that facilitates implementing a cryogenic device  200  ( FIG. 2 ) in accordance with one or more embodiments described herein. In some examples, flow diagram  900  can be implemented by operating environment  1100 . It can be appreciated that the operations of flow diagram  900  can be implemented in a different order than is depicted. It can also be appreciated that the operations of flow diagram  900  can be implemented in a different order than is depicted. 
     In non-limiting example embodiments, a computing device (or system) (e.g., a computer) is provided comprising one or more processors and one or more memories that stores executable instructions that, when executed by the one or more processors, can facilitate performance of the operations as described herein, including the non-limiting methods as illustrated in the flow diagrams of  FIG. 9 . As a non-limiting example, the one or more processors can facilitate performance of the methods by directing or controlling one or more equipment operable to perform semiconductor fabrication. 
     Operation  902  depicts forming (e.g., by a computer) a substrate  206  ( FIG. 2 ) comprising material selected from a group consisting of Sapphire, Silicon and Gallium Arsenide. Operation  904  depicts forming (e.g., by a computer) forming a plurality of coplanar waveguides  220  ( FIG. 2 ) on the substrate  206  and arranged with a defined separation gap  510  ( FIG. 5 ) between the plurality of coplanar waveguides  220  to achieve crosstalk of less than minus 50 decibels. Operation  906  depicts embedding (e.g., by a computer) microwave attenuators  208  ( FIG. 2 ) on a transmission line  506  ( FIG. 5 ) of the plurality of coplanar waveguides  220 , wherein dimensions of a microwave attenuator  300  ( FIG. 3 ) of the one or more microwave attenuators  208  are based on a defined attenuation level. 
       FIG. 10  illustrates a flow diagram of an example, non-limiting computer-implemented method that facilitates implementing a cryogenic device  200  ( FIG. 2 ) in accordance with one or more embodiments described herein. In some examples, flow diagram  1000  can be implemented by operating environment  1100 . It can be appreciated that the operations of flow diagram  1000  can be implemented in a different order than is depicted. It can also be appreciated that the operations of flow diagram  1000  can be implemented in a different order than is depicted. 
     In non-limiting example embodiments, a computing device (or system) (e.g., a computer) is provided comprising one or more processors and one or more memories that stores executable instructions that, when executed by the one or more processors, can facilitate performance of the operations as described herein, including the non-limiting methods as illustrated in the flow diagrams of  FIG. 10 . As a non-limiting example, the one or more processors can facilitate performance of the methods by directing or controlling one or more equipment operable to perform semiconductor fabrication. 
     Operation  1002  depicts forming (e.g., by a computer) a substrate  206  ( FIG. 2 ) having a thermal conductivity greater than 100 watts per meter-Kelvin. Operation  1004  depicts forming (e.g., by a computer) a plurality of coplanar waveguides  220  ( FIG. 2 ) on the substrate  206  and arranged with a defined separation gap  506  ( FIG. 5 ) between the plurality of coplanar waveguides  220  to achieve crosstalk of less than minus 50 decibels. Operation  1006  depicts embedding (e.g., by a computer) one or more microwave attenuators  208  ( FIG. 2 ) on a transmission line  506  ( FIG. 5 ) of the plurality of coplanar waveguides  220 . 
       FIG. 11  illustrates an example, non-limiting cryogenic device  1100  in accordance with one or more embodiments described herein. As depicted, the exemplary cryogenic device comprises two high-density connectors  1102  (e.g. connectors  204  and  210  of  FIG. 1 ) having a plurality of coax cables (e.g., input lines  202  and output lines  214  of  FIG. 1 ). In an embodiment, each connector  1102  comprises eight coax cables  1104 . The high-density connectors  1102  are connected to a silicon die substrate  1106  (e.g., substrate  206  of  FIG. 1 ) composed of transmission lines having integrated microware attenuator (e.g., transmission lines  220  and integrated microwave attenuators  208  of  FIG. 1 ). In some examples, the substrate  1106  and the connectors  1102  are formed on a copper baseplate  1108 . 
     Embodiments of the present innovation may be a system, a method, an apparatus and/or a computer program product at any possible technical detail level of integration. The computer program product can include a computer readable storage medium (or media) having computer readable program instructions thereon for causing a processor to carry out aspects of the present innovation. The computer readable storage medium can be a tangible device that can retain and store instructions for use by an instruction execution device. The computer readable storage medium can be, for example, but is not limited to, an electronic storage device, a magnetic storage device, an optical storage device, an electromagnetic storage device, a semiconductor storage device, or any suitable combination of the foregoing. A non-exhaustive list of more specific examples of the computer readable storage medium can also include the following: a portable computer diskette, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or Flash memory), a static random access memory (SRAM), a portable compact disc read-only memory (CD-ROM), a digital versatile disk (DVD), a memory stick, a floppy disk, a mechanically encoded device such as punch-cards or raised structures in a groove having instructions recorded thereon, and any suitable combination of the foregoing. A computer readable storage medium, as used herein, is not to be construed as being transitory signals per se, such as radio waves or other freely propagating electromagnetic waves, electromagnetic waves propagating through a waveguide or other transmission media (e.g., light pulses passing through a fiber-optic cable), or electrical signals transmitted through a wire. 
     Computer readable program instructions described herein can be downloaded to respective computing/processing devices from a computer readable storage medium or to an external computer or external storage device via a network, for example, the Internet, a local area network, a wide area network and/or a wireless network. The network can comprise copper transmission cables, optical transmission fibers, wireless transmission, routers, firewalls, switches, gateway computers and/or edge servers. A network adapter card or network interface in each computing/processing device receives computer readable program instructions from the network and forwards the computer readable program instructions for storage in a computer readable storage medium within the respective computing/processing device. Computer readable program instructions for carrying out operations of various aspects of the present innovation can be assembler instructions, instruction-set-architecture (ISA) instructions, machine instructions, machine dependent instructions, microcode, firmware instructions, state-setting data, configuration data for integrated circuitry, or either source code or object code written in any combination of one or more programming languages, including an object oriented programming language such as Smalltalk, C++, or the like, and procedural programming languages, such as the “C” programming language or similar programming languages. The computer readable program instructions can execute entirely on the user&#39;s computer, partly on the user&#39;s computer, as a stand-alone software package, partly on the user&#39;s computer and partly on a remote computer or entirely on the remote computer or server. In the latter scenario, the remote computer can be connected to the user&#39;s computer through any type of network, including a local area network (LAN) or a wide area network (WAN), or the connection can be made to an external computer (for example, through the Internet using an Internet Service Provider). In some embodiments, electronic circuitry including, for example, programmable logic circuitry, field-programmable gate arrays (FPGA), or programmable logic arrays (PLA) can execute the computer readable program instructions by utilizing state information of the computer readable program instructions to customize the electronic circuitry, to perform aspects of the present innovation. 
     Aspects of the present innovation are described herein with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the innovation. It will be understood that each block of the flowchart illustrations and/or block diagrams, and combinations of blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer readable program instructions. These computer readable program instructions can be provided to a processor of a general-purpose computer, special purpose computer, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions/acts specified in the flowchart and/or block diagram block or blocks. These computer readable program instructions can also be stored in a computer readable storage medium that can direct a computer, a programmable data processing apparatus, and/or other devices to function in a particular manner, such that the computer readable storage medium having instructions stored therein comprises an article of manufacture including instructions which implement aspects of the function/act specified in the flowchart and/or block diagram block or blocks. The computer readable program instructions can also be loaded onto a computer, other programmable data processing apparatus, or other device to cause a series of operational acts to be performed on the computer, other programmable apparatus or other device to produce a computer implemented process, such that the instructions which execute on the computer, other programmable apparatus, or other device implement the functions/acts specified in the flowchart and/or block diagram block or blocks. 
     The flowchart and block diagrams in the figures illustrate the architecture, functionality, and operation of possible implementations of systems, methods, and computer program products according to various embodiments of the present innovation. In this regard, each block in the flowchart or block diagrams can represent a module, segment, or portion of instructions, which comprises one or more executable instructions for implementing the specified logical function(s). In some alternative implementations, the functions noted in the blocks can occur out of the order noted in the Figures. For example, two blocks shown in succession can, in fact, be executed substantially concurrently, or the blocks can sometimes be executed in the reverse order, depending upon the functionality involved. It will also be noted that each block of the block diagrams and/or flowchart illustration, and combinations of blocks in the block diagrams and/or flowchart illustration, can be implemented by special purpose hardware-based systems that perform the specified functions or acts or carry out combinations of special purpose hardware and computer instructions. 
     While the subject matter has been described above in the general context of computer-executable instructions of a computer program product that executes on a computer and/or computers, those skilled in the art will recognize that this disclosure also can or can be implemented in combination with other program modules. Generally, program modules include routines, programs, components, data structures, etc. that perform tasks and/or implement abstract data types. Moreover, those skilled in the art will appreciate that the inventive computer-implemented methods can be practiced with other computer system configurations, including single-processor or multiprocessor computer systems, mini-computing devices, mainframe computers, as well as computers, hand-held computing devices (e.g., PDA, phone), microprocessor-based or programmable consumer or industrial electronics, and the like. The illustrated aspects can also be practiced in distributed computing environments where tasks are performed by remote processing devices that are linked through a communications network. However, some, if not all aspects of this disclosure can be practiced on stand-alone computers. In a distributed computing environment, program modules can be located in both local and remote memory storage devices. 
     As used in this application, the terms “component,” “system,” “platform,” “interface,” and the like, can refer to and/or can include a computer-related entity or an entity related to an operational machine with one or more specific functionalities. The entities disclosed herein can be either hardware, a combination of hardware and software, software, or software in execution. For example, a component can be, but is not limited to being, a process running on a processor, a processor, an object, an executable, a thread of execution, a program, and/or a computer. By way of illustration, both an application running on a server and the server can be a component. One or more components can reside within a process and/or thread of execution and a component can be localized on one computer and/or distributed between two or more computers. In another example, respective components can execute from various computer readable media having various data structures stored thereon. The components can communicate via local and/or remote processes such as in accordance with a signal having one or more data packets (e.g., data from one component interacting with another component in a local system, distributed system, and/or across a network such as the Internet with other systems via the signal). As another example, a component can be an apparatus with specific functionality provided by mechanical parts operated by electric or electronic circuitry, which is operated by a software or firmware application executed by a processor. In such a case, the processor can be internal or external to the apparatus and can execute at least a part of the software or firmware application. As yet another example, a component can be an apparatus that provides specific functionality through electronic components without mechanical parts, wherein the electronic components can include a processor or other means to execute software or firmware that confers at least in part the functionality of the electronic components. In an aspect, a component can emulate an electronic component via a virtual machine, e.g., within a server computing system. 
     In addition, the term “or” is intended to mean an inclusive “or” rather than an exclusive “or.” That is, unless specified otherwise, or clear from context, “X employs A or B” is intended to mean any of the natural inclusive permutations. That is, if X employs A; X employs B; or X employs both A and B, then “X employs A or B” is satisfied under any of the foregoing instances. Moreover, articles “a” and “an” as used in the subject specification and annexed drawings should generally be construed to mean “one or more” unless specified otherwise or clear from context to be directed to a singular form. As used herein, the terms “example” and/or “exemplary” are utilized to mean serving as an example, instance, or illustration. For the avoidance of doubt, the subject matter disclosed herein is not limited by such examples. In addition, any aspect or design described herein as an “example” and/or “exemplary” is not necessarily to be construed as preferred or advantageous over other aspects or designs, nor is it meant to preclude equivalent exemplary structures and techniques known to those of ordinary skill in the art. 
     As it is employed in the subject specification, the term “processor” can refer to substantially any computing processing unit or device comprising, but not limited to, single-core processors; single-processors with software multithread execution capability; multi-core processors; multi-core processors with software multithread execution capability; multi-core processors with hardware multithread technology; parallel platforms; and parallel platforms with distributed shared memory. Additionally, a processor can refer to an integrated circuit, an application specific integrated circuit (ASIC), a digital signal processor (DSP), a field programmable gate array (FPGA), a programmable logic controller (PLC), a complex programmable logic device (CPLD), a discrete gate or transistor logic, discrete hardware components, or any combination thereof designed to perform the functions described herein. Further, processors can exploit nano-scale architectures such as, but not limited to, molecular and quantum-dot based transistors, switches and gates, in order to optimize space usage or enhance performance of user equipment. A processor can also be implemented as a combination of computing processing units. In this disclosure, terms such as “store,” “storage,” “data store,” data storage,” “database,” and substantially any other information storage component relevant to operation and functionality of a component are utilized to refer to “memory components,” entities embodied in a “memory,” or components comprising a memory. It is to be appreciated that memory and/or memory components described herein can be either volatile memory or nonvolatile memory, or can include both volatile and nonvolatile memory. By way of illustration, and not limitation, nonvolatile memory can include read only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable ROM (EEPROM), flash memory, or nonvolatile random access memory (RAM) (e.g., ferroelectric RAM (FeRAM). Volatile memory can include RAM, which can act as external cache memory, for example. By way of illustration and not limitation, RAM is available in many forms such as synchronous RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double data rate SDRAM (DDR SDRAM), enhanced SDRAM (ESDRAM), Synchlink DRAM (SLDRAM), direct Rambus RAM (DRRAM), direct Rambus dynamic RAM (DRDRAM), and Rambus dynamic RAM (RDRAM). Additionally, the disclosed memory components of systems or computer-implemented methods herein are intended to include, without being limited to including, these and any other suitable types of memory. 
     What has been described above include mere examples of systems, computer program products, and computer-implemented methods. It is, of course, not possible to describe every conceivable combination of components, products and/or computer-implemented methods for purposes of describing this disclosure, but one of ordinary skill in the art can recognize that many further combinations and permutations of this disclosure are possible. Furthermore, to the extent that the terms “includes,” “has,” “possesses,” and the like are used in the detailed description, claims, appendices and drawings such terms are intended to be inclusive in a manner similar to the term “comprising” as “comprising” is interpreted when employed as a transitional word in a claim. The descriptions of the various embodiments have been presented for purposes of illustration, but are not intended to be exhaustive or limited to the embodiments disclosed. Many modifications and variations will be apparent to those of ordinary skill in the art without departing from the scope and spirit of the described embodiments. The terminology used herein was chosen to best explain the principles of the embodiments, the practical application or technical improvement over technologies found in the marketplace, or to enable others of ordinary skill in the art to understand the embodiments disclosed herein.