How do I write functions that modify operations in Q#?












1














In Q#'s type documentation, it is mentioned that you can create signatures like this:



function ConjugateInvertibleWith : (inner: ((Qubit => Unit) : Adjoint),
outer : ((Qubit => Unit) : Adjoint))
: ((Qubit => Unit) : Adjoint)


My question is: how is this function actually implemented.



Presumably a function with this name will return an operation that, when invoked, calls outer, then inner, then adjoint outer. However, I have no idea how to actually write a function like this. In particular, it's not clear how to write the equivalent of a lambda with a closure. For example, if I try to declare an operation inside a function (similar to how you can def inside a def in python), I get a syntax error.



Does this have to be done in a non-Q# library, like in C#, then imported into Q#? If so, how?










share|improve this question



























    1














    In Q#'s type documentation, it is mentioned that you can create signatures like this:



    function ConjugateInvertibleWith : (inner: ((Qubit => Unit) : Adjoint),
    outer : ((Qubit => Unit) : Adjoint))
    : ((Qubit => Unit) : Adjoint)


    My question is: how is this function actually implemented.



    Presumably a function with this name will return an operation that, when invoked, calls outer, then inner, then adjoint outer. However, I have no idea how to actually write a function like this. In particular, it's not clear how to write the equivalent of a lambda with a closure. For example, if I try to declare an operation inside a function (similar to how you can def inside a def in python), I get a syntax error.



    Does this have to be done in a non-Q# library, like in C#, then imported into Q#? If so, how?










    share|improve this question

























      1












      1








      1







      In Q#'s type documentation, it is mentioned that you can create signatures like this:



      function ConjugateInvertibleWith : (inner: ((Qubit => Unit) : Adjoint),
      outer : ((Qubit => Unit) : Adjoint))
      : ((Qubit => Unit) : Adjoint)


      My question is: how is this function actually implemented.



      Presumably a function with this name will return an operation that, when invoked, calls outer, then inner, then adjoint outer. However, I have no idea how to actually write a function like this. In particular, it's not clear how to write the equivalent of a lambda with a closure. For example, if I try to declare an operation inside a function (similar to how you can def inside a def in python), I get a syntax error.



      Does this have to be done in a non-Q# library, like in C#, then imported into Q#? If so, how?










      share|improve this question













      In Q#'s type documentation, it is mentioned that you can create signatures like this:



      function ConjugateInvertibleWith : (inner: ((Qubit => Unit) : Adjoint),
      outer : ((Qubit => Unit) : Adjoint))
      : ((Qubit => Unit) : Adjoint)


      My question is: how is this function actually implemented.



      Presumably a function with this name will return an operation that, when invoked, calls outer, then inner, then adjoint outer. However, I have no idea how to actually write a function like this. In particular, it's not clear how to write the equivalent of a lambda with a closure. For example, if I try to declare an operation inside a function (similar to how you can def inside a def in python), I get a syntax error.



      Does this have to be done in a non-Q# library, like in C#, then imported into Q#? If so, how?







      q#






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 6 hours ago









      Craig Gidney

      3,479220




      3,479220






















          1 Answer
          1






          active

          oldest

          votes


















          3














          For this example, one obtains a function with that signature by partial application of an operation that is defined outside the body, instead of as a lambda in the function. As a concrete example, consider this non-generic version of the WithA operation, modified from line 73 of Q# canon.



          operation WithA(
          outer : (Qubit => Unit : Adjoint),
          inner : (Qubit => Unit : Adjoint),
          target : Qubit)
          : Unit
          {
          body (...)
          {
          outer(target);
          inner(target);
          Adjoint outer(target);
          }
          adjoint invert;
          }


          This applies the sequence $|textrm{target}ranglerightarrowtextrm{outer}^daggercdottextrm{inner}cdottextrm{outer}|textrm{target}rangle$.



          We can then partially apply the target to create the desired signature as follows.



          function WithAFunction(
          outer : (Qubit => Unit : Adjoint),
          inner : (Qubit => Unit : Adjoint))
          : ((Qubit => Unit) : Adjoint)
          {
          return WithA(outer, inner, _);
          }





          share|improve this answer























            Your Answer





            StackExchange.ifUsing("editor", function () {
            return StackExchange.using("mathjaxEditing", function () {
            StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
            StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
            });
            });
            }, "mathjax-editing");

            StackExchange.ready(function() {
            var channelOptions = {
            tags: "".split(" "),
            id: "694"
            };
            initTagRenderer("".split(" "), "".split(" "), channelOptions);

            StackExchange.using("externalEditor", function() {
            // Have to fire editor after snippets, if snippets enabled
            if (StackExchange.settings.snippets.snippetsEnabled) {
            StackExchange.using("snippets", function() {
            createEditor();
            });
            }
            else {
            createEditor();
            }
            });

            function createEditor() {
            StackExchange.prepareEditor({
            heartbeatType: 'answer',
            autoActivateHeartbeat: false,
            convertImagesToLinks: false,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: null,
            bindNavPrevention: true,
            postfix: "",
            imageUploader: {
            brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
            contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
            allowUrls: true
            },
            noCode: true, onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            });


            }
            });














            draft saved

            draft discarded


















            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fquantumcomputing.stackexchange.com%2fquestions%2f5070%2fhow-do-i-write-functions-that-modify-operations-in-q%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown

























            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            3














            For this example, one obtains a function with that signature by partial application of an operation that is defined outside the body, instead of as a lambda in the function. As a concrete example, consider this non-generic version of the WithA operation, modified from line 73 of Q# canon.



            operation WithA(
            outer : (Qubit => Unit : Adjoint),
            inner : (Qubit => Unit : Adjoint),
            target : Qubit)
            : Unit
            {
            body (...)
            {
            outer(target);
            inner(target);
            Adjoint outer(target);
            }
            adjoint invert;
            }


            This applies the sequence $|textrm{target}ranglerightarrowtextrm{outer}^daggercdottextrm{inner}cdottextrm{outer}|textrm{target}rangle$.



            We can then partially apply the target to create the desired signature as follows.



            function WithAFunction(
            outer : (Qubit => Unit : Adjoint),
            inner : (Qubit => Unit : Adjoint))
            : ((Qubit => Unit) : Adjoint)
            {
            return WithA(outer, inner, _);
            }





            share|improve this answer




























              3














              For this example, one obtains a function with that signature by partial application of an operation that is defined outside the body, instead of as a lambda in the function. As a concrete example, consider this non-generic version of the WithA operation, modified from line 73 of Q# canon.



              operation WithA(
              outer : (Qubit => Unit : Adjoint),
              inner : (Qubit => Unit : Adjoint),
              target : Qubit)
              : Unit
              {
              body (...)
              {
              outer(target);
              inner(target);
              Adjoint outer(target);
              }
              adjoint invert;
              }


              This applies the sequence $|textrm{target}ranglerightarrowtextrm{outer}^daggercdottextrm{inner}cdottextrm{outer}|textrm{target}rangle$.



              We can then partially apply the target to create the desired signature as follows.



              function WithAFunction(
              outer : (Qubit => Unit : Adjoint),
              inner : (Qubit => Unit : Adjoint))
              : ((Qubit => Unit) : Adjoint)
              {
              return WithA(outer, inner, _);
              }





              share|improve this answer


























                3












                3








                3






                For this example, one obtains a function with that signature by partial application of an operation that is defined outside the body, instead of as a lambda in the function. As a concrete example, consider this non-generic version of the WithA operation, modified from line 73 of Q# canon.



                operation WithA(
                outer : (Qubit => Unit : Adjoint),
                inner : (Qubit => Unit : Adjoint),
                target : Qubit)
                : Unit
                {
                body (...)
                {
                outer(target);
                inner(target);
                Adjoint outer(target);
                }
                adjoint invert;
                }


                This applies the sequence $|textrm{target}ranglerightarrowtextrm{outer}^daggercdottextrm{inner}cdottextrm{outer}|textrm{target}rangle$.



                We can then partially apply the target to create the desired signature as follows.



                function WithAFunction(
                outer : (Qubit => Unit : Adjoint),
                inner : (Qubit => Unit : Adjoint))
                : ((Qubit => Unit) : Adjoint)
                {
                return WithA(outer, inner, _);
                }





                share|improve this answer














                For this example, one obtains a function with that signature by partial application of an operation that is defined outside the body, instead of as a lambda in the function. As a concrete example, consider this non-generic version of the WithA operation, modified from line 73 of Q# canon.



                operation WithA(
                outer : (Qubit => Unit : Adjoint),
                inner : (Qubit => Unit : Adjoint),
                target : Qubit)
                : Unit
                {
                body (...)
                {
                outer(target);
                inner(target);
                Adjoint outer(target);
                }
                adjoint invert;
                }


                This applies the sequence $|textrm{target}ranglerightarrowtextrm{outer}^daggercdottextrm{inner}cdottextrm{outer}|textrm{target}rangle$.



                We can then partially apply the target to create the desired signature as follows.



                function WithAFunction(
                outer : (Qubit => Unit : Adjoint),
                inner : (Qubit => Unit : Adjoint))
                : ((Qubit => Unit) : Adjoint)
                {
                return WithA(outer, inner, _);
                }






                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited 4 hours ago

























                answered 4 hours ago









                Guang Hao Low

                1364




                1364






























                    draft saved

                    draft discarded




















































                    Thanks for contributing an answer to Quantum Computing Stack Exchange!


                    • Please be sure to answer the question. Provide details and share your research!

                    But avoid



                    • Asking for help, clarification, or responding to other answers.

                    • Making statements based on opinion; back them up with references or personal experience.


                    Use MathJax to format equations. MathJax reference.


                    To learn more, see our tips on writing great answers.





                    Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


                    Please pay close attention to the following guidance:


                    • Please be sure to answer the question. Provide details and share your research!

                    But avoid



                    • Asking for help, clarification, or responding to other answers.

                    • Making statements based on opinion; back them up with references or personal experience.


                    To learn more, see our tips on writing great answers.




                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function () {
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fquantumcomputing.stackexchange.com%2fquestions%2f5070%2fhow-do-i-write-functions-that-modify-operations-in-q%23new-answer', 'question_page');
                    }
                    );

                    Post as a guest















                    Required, but never shown





















































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown

































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown







                    Popular posts from this blog

                    Accessing regular linux commands in Huawei's Dopra Linux

                    Can't connect RFCOMM socket: Host is down

                    Kernel panic - not syncing: Fatal Exception in Interrupt