Patent ID: 11900213
Assignee: QUNASYS INC.
Field: Computer technology (Electrical engineering)
Classification: CPC G | IPC G

Claim 8:
9. A non-transitory recording medium storing a quantum information processing program executable by a classical processor to perform processing comprising:
computing a transition amplitude |<ψ1|A|ψ2|2 according to Equation (1) below based on measurement results for <ψ1|Pi|ψ2>, <ψ1|Uij,+|ψ2>, <ψ1|Uij,−|ψ2>, <ψ1|Pj|ψ2>, and <ψ1|PiPj|ψ2> from quantum measurement executed by a quantum computer for a quantum state pair configured by a first quantum state ψ1 and a second quantum state ψ2, 
            
              
                〈
                
                  ψ
                  1
                
                
              
              ⁢
              A
              ⁢
              
                
                
                  ψ
                  2
                
                〉
              
            
            
          
          2
        
        =
        
          
            
              ∑
              i
            
            ⁢
            
              
                a
                i
                2
              
              ⁢
              
                
                  
                  
                    
                      〈
                      
                        ψ
                        1
                      
                      
                    
                    ⁢
                    
                      P
                      i
                    
                    ⁢
                    
                      
                      
                        ψ
                        2
                      
                      〉
                    
                  
                  
                
                2
              
            
          
          +
          
            
              ∑
              
                i
                <
                j
              
            
            ⁢
            
              
                a
                i
              
              ⁢
              
                
                  a
                  j
                
                ⁡
                
                  [
                  
                    
                      2
                      ⁢
                      
                        
                          
                          
                            
                              〈
                              
                                ψ
                                1
                              
                              
                            
                            ⁢
                            
                              U
                              
                                ij
                                ,
                                +
                              
                            
                            ⁢
                            
                              
                              
                                ψ
                                2
                              
                              〉
                            
                          
                          
                        
                        2
                      
                    
                    +
                    
                      2
                      ⁢
                      
                        
                          
                          
                            
                              〈
                              
                                ψ
                                1
                              
                              
                            
                            ⁢
                            
                              U
                              
                                ij
                                ,
                                -
                              
                            
                            ⁢
                            
                              
                              
                                ψ
                                2
                              
                              〉
                            
                          
                          
                        
                        2
                      
                    
                    -
                    
                      
                        
                        
                          
                            〈
                            
                              ψ
                              1
                            
                            
                          
                          ⁢
                          
                            P
                            i
                          
                          ⁢
                          
                            
                            
                              ψ
                              2
                            
                            〉
                          
                        
                        
                      
                      2
                    
                    -
                    
                      
                        
                        
                          
                            〈
                            
                              ψ
                              1
                            
                            
                          
                          ⁢
                          
                            P
                            j
                          
                          ⁢
                          
                            
                            
                              ψ
                              2
                            
                            〉
                          
                        
                        
                      
                      2
                    
                    -
                    
                      
                        
                        
                          
                            〈
                            
                              ψ
                              1
                            
                            
                          
                          ⁢
                          
                            P
                            i
                          
                          ⁢
                          
                            P
                            j
                          
                          ⁢
                          
                            
                            
                              ψ
                              2
                            
                            〉
                          
                        
                        
                      
                      2
                    
                  
                  ]
                
              
            
          
        
      
    
    
      
        Equation
        ⁢
        
          
        
        ⁢
        
          (
          1
          )
        
      
    
  

wherein A is a physical quantity for computation of transition amplitude, i and j are indices for identifying a and P, a is a real number, P is a tensor product of a Pauli matrix, U is a unitary gate, and <ψ1|ψ2>=0.