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How to compute the inverse of an operation in Q#?


How to create an arbitrary state in QISKit for a local_qasm_simulator?How do we code the matrix for a controlled operation knowing the control qubit, the target qubit and the $2times 2$ unitary?How to construct the “Inversion About the Mean” operator?How would one implement a quantum equivalent of a while loop in IBM QISkit?Quantum counting in Q#How many logical qubits are needed to run Shor's algorithm efficiently on large integers ($n > 2^1024$)?How do I produce circuit diagrams from a Q# program?Representing a real valued vector with qubitsHow do I get a list of control qubits from Q# operations when tracing the simulation in C#?How do I do printf debugging in Q# in a convenient way?






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








1












$begingroup$


I want to implement amplitude amplification using Q#. I have the operation $A$
that prepares my initial state and I need to compute $ A^-1 $ to implement the algorithm.



Is there an easy way to do that in Q# (a keyword or operation)?










share|improve this question









New contributor



Sorin Bolos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






$endgroup$


















    1












    $begingroup$


    I want to implement amplitude amplification using Q#. I have the operation $A$
    that prepares my initial state and I need to compute $ A^-1 $ to implement the algorithm.



    Is there an easy way to do that in Q# (a keyword or operation)?










    share|improve this question









    New contributor



    Sorin Bolos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






    $endgroup$














      1












      1








      1





      $begingroup$


      I want to implement amplitude amplification using Q#. I have the operation $A$
      that prepares my initial state and I need to compute $ A^-1 $ to implement the algorithm.



      Is there an easy way to do that in Q# (a keyword or operation)?










      share|improve this question









      New contributor



      Sorin Bolos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      $endgroup$




      I want to implement amplitude amplification using Q#. I have the operation $A$
      that prepares my initial state and I need to compute $ A^-1 $ to implement the algorithm.



      Is there an easy way to do that in Q# (a keyword or operation)?







      programming q#






      share|improve this question









      New contributor



      Sorin Bolos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.










      share|improve this question









      New contributor



      Sorin Bolos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.








      share|improve this question




      share|improve this question








      edited 10 hours ago









      Sanchayan Dutta

      7,76441662




      7,76441662






      New contributor



      Sorin Bolos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.








      asked 10 hours ago









      Sorin BolosSorin Bolos

      183




      183




      New contributor



      Sorin Bolos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.




      New contributor




      Sorin Bolos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






















          2 Answers
          2






          active

          oldest

          votes


















          3












          $begingroup$

          As given in the documentation, if your operation is unitary, you can add the statement adjoint auto; within the operation after the body block. This will generate the adjoint (which is the inverse for unitary).



          Then, to use the inverse call Adjoint A(parameters)






          share|improve this answer









          $endgroup$








          • 1




            $begingroup$
            Thank you. I didn't know that the adjoint is also the inverse for unitary matrices.
            $endgroup$
            – Sorin Bolos
            10 hours ago


















          3












          $begingroup$

          In the case that your operation can be represented by a unitary operator $U$ (this is typically the case if your operation doesn't use any measurements), you can indicate that by adding is Adj to your operation's signature, letting the Q# compiler know that your operation is adjointable:



          open Microsoft.Quantum.Math as Math;

          /// # Summary
          /// Prepares a qubit in a state representing a classical probability
          /// distribution p, 1 - p.
          /// # Description
          /// Given a qubit in the |0⟩, prepares √p |0⟩ + √(1 - p) |1⟩
          /// for a given probability p.
          operation PrepareDistribution(probability : Double, target : Qubit) : Unit
          is Adj
          let rotationAngle = 2.0 * Math.ArcCos(Math.Sqrt(1.0 - probability));
          Ry(rotationAngle, target);



          You can then call Adjoint PrepareDistribution to "undo" the PrepareDistribution operation. The Adjoint keyword is an example of a Q# functor, and tells Q# that you want the inverse operation. In this case, the Q# compiler will apply Ry(-rotationAngle, target).



          For more information:



          • Functors


          • Learn Quantum Computing with Python and Q# (chapter 6 covers the example above, future chapters will talk more about functors)





          share|improve this answer









          $endgroup$













            Your Answer








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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            3












            $begingroup$

            As given in the documentation, if your operation is unitary, you can add the statement adjoint auto; within the operation after the body block. This will generate the adjoint (which is the inverse for unitary).



            Then, to use the inverse call Adjoint A(parameters)






            share|improve this answer









            $endgroup$








            • 1




              $begingroup$
              Thank you. I didn't know that the adjoint is also the inverse for unitary matrices.
              $endgroup$
              – Sorin Bolos
              10 hours ago















            3












            $begingroup$

            As given in the documentation, if your operation is unitary, you can add the statement adjoint auto; within the operation after the body block. This will generate the adjoint (which is the inverse for unitary).



            Then, to use the inverse call Adjoint A(parameters)






            share|improve this answer









            $endgroup$








            • 1




              $begingroup$
              Thank you. I didn't know that the adjoint is also the inverse for unitary matrices.
              $endgroup$
              – Sorin Bolos
              10 hours ago













            3












            3








            3





            $begingroup$

            As given in the documentation, if your operation is unitary, you can add the statement adjoint auto; within the operation after the body block. This will generate the adjoint (which is the inverse for unitary).



            Then, to use the inverse call Adjoint A(parameters)






            share|improve this answer









            $endgroup$



            As given in the documentation, if your operation is unitary, you can add the statement adjoint auto; within the operation after the body block. This will generate the adjoint (which is the inverse for unitary).



            Then, to use the inverse call Adjoint A(parameters)







            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 10 hours ago









            Mahathi VempatiMahathi Vempati

            7649




            7649







            • 1




              $begingroup$
              Thank you. I didn't know that the adjoint is also the inverse for unitary matrices.
              $endgroup$
              – Sorin Bolos
              10 hours ago












            • 1




              $begingroup$
              Thank you. I didn't know that the adjoint is also the inverse for unitary matrices.
              $endgroup$
              – Sorin Bolos
              10 hours ago







            1




            1




            $begingroup$
            Thank you. I didn't know that the adjoint is also the inverse for unitary matrices.
            $endgroup$
            – Sorin Bolos
            10 hours ago




            $begingroup$
            Thank you. I didn't know that the adjoint is also the inverse for unitary matrices.
            $endgroup$
            – Sorin Bolos
            10 hours ago













            3












            $begingroup$

            In the case that your operation can be represented by a unitary operator $U$ (this is typically the case if your operation doesn't use any measurements), you can indicate that by adding is Adj to your operation's signature, letting the Q# compiler know that your operation is adjointable:



            open Microsoft.Quantum.Math as Math;

            /// # Summary
            /// Prepares a qubit in a state representing a classical probability
            /// distribution p, 1 - p.
            /// # Description
            /// Given a qubit in the |0⟩, prepares √p |0⟩ + √(1 - p) |1⟩
            /// for a given probability p.
            operation PrepareDistribution(probability : Double, target : Qubit) : Unit
            is Adj
            let rotationAngle = 2.0 * Math.ArcCos(Math.Sqrt(1.0 - probability));
            Ry(rotationAngle, target);



            You can then call Adjoint PrepareDistribution to "undo" the PrepareDistribution operation. The Adjoint keyword is an example of a Q# functor, and tells Q# that you want the inverse operation. In this case, the Q# compiler will apply Ry(-rotationAngle, target).



            For more information:



            • Functors


            • Learn Quantum Computing with Python and Q# (chapter 6 covers the example above, future chapters will talk more about functors)





            share|improve this answer









            $endgroup$

















              3












              $begingroup$

              In the case that your operation can be represented by a unitary operator $U$ (this is typically the case if your operation doesn't use any measurements), you can indicate that by adding is Adj to your operation's signature, letting the Q# compiler know that your operation is adjointable:



              open Microsoft.Quantum.Math as Math;

              /// # Summary
              /// Prepares a qubit in a state representing a classical probability
              /// distribution p, 1 - p.
              /// # Description
              /// Given a qubit in the |0⟩, prepares √p |0⟩ + √(1 - p) |1⟩
              /// for a given probability p.
              operation PrepareDistribution(probability : Double, target : Qubit) : Unit
              is Adj
              let rotationAngle = 2.0 * Math.ArcCos(Math.Sqrt(1.0 - probability));
              Ry(rotationAngle, target);



              You can then call Adjoint PrepareDistribution to "undo" the PrepareDistribution operation. The Adjoint keyword is an example of a Q# functor, and tells Q# that you want the inverse operation. In this case, the Q# compiler will apply Ry(-rotationAngle, target).



              For more information:



              • Functors


              • Learn Quantum Computing with Python and Q# (chapter 6 covers the example above, future chapters will talk more about functors)





              share|improve this answer









              $endgroup$















                3












                3








                3





                $begingroup$

                In the case that your operation can be represented by a unitary operator $U$ (this is typically the case if your operation doesn't use any measurements), you can indicate that by adding is Adj to your operation's signature, letting the Q# compiler know that your operation is adjointable:



                open Microsoft.Quantum.Math as Math;

                /// # Summary
                /// Prepares a qubit in a state representing a classical probability
                /// distribution p, 1 - p.
                /// # Description
                /// Given a qubit in the |0⟩, prepares √p |0⟩ + √(1 - p) |1⟩
                /// for a given probability p.
                operation PrepareDistribution(probability : Double, target : Qubit) : Unit
                is Adj
                let rotationAngle = 2.0 * Math.ArcCos(Math.Sqrt(1.0 - probability));
                Ry(rotationAngle, target);



                You can then call Adjoint PrepareDistribution to "undo" the PrepareDistribution operation. The Adjoint keyword is an example of a Q# functor, and tells Q# that you want the inverse operation. In this case, the Q# compiler will apply Ry(-rotationAngle, target).



                For more information:



                • Functors


                • Learn Quantum Computing with Python and Q# (chapter 6 covers the example above, future chapters will talk more about functors)





                share|improve this answer









                $endgroup$



                In the case that your operation can be represented by a unitary operator $U$ (this is typically the case if your operation doesn't use any measurements), you can indicate that by adding is Adj to your operation's signature, letting the Q# compiler know that your operation is adjointable:



                open Microsoft.Quantum.Math as Math;

                /// # Summary
                /// Prepares a qubit in a state representing a classical probability
                /// distribution p, 1 - p.
                /// # Description
                /// Given a qubit in the |0⟩, prepares √p |0⟩ + √(1 - p) |1⟩
                /// for a given probability p.
                operation PrepareDistribution(probability : Double, target : Qubit) : Unit
                is Adj
                let rotationAngle = 2.0 * Math.ArcCos(Math.Sqrt(1.0 - probability));
                Ry(rotationAngle, target);



                You can then call Adjoint PrepareDistribution to "undo" the PrepareDistribution operation. The Adjoint keyword is an example of a Q# functor, and tells Q# that you want the inverse operation. In this case, the Q# compiler will apply Ry(-rotationAngle, target).



                For more information:



                • Functors


                • Learn Quantum Computing with Python and Q# (chapter 6 covers the example above, future chapters will talk more about functors)






                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 10 hours ago









                Chris GranadeChris Granade

                19316




                19316




















                    Sorin Bolos is a new contributor. Be nice, and check out our Code of Conduct.









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