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Qsette - Q# verification

Editing and Translating from Q#

First enable rosette by setting the language: #lang rosette

Next include the qsette.rkt file to enable the dsl and probability.rkt for verifying specific probabilities:

(requires"{qsette dir}/qsette.rkt" "{qsette dir}/probability.rkt")

The general syntax matches Q#'s keywords with rackets infix lisp notation.

The Q# Programming Language

The Racket Guide

Operations can be created using the operation keyword and can then be used as normal defined functions. They can either be evaluated on concrete arguments or given symbolic-values to verify specifications. To verify a specific program use Rosettes's define-symbolic in combination with verify. For more information on using Rosette, see:

The Rosette Guide

Verifying a probability

The probability.rkt file provides probability/v which can take the output of an operation and compare it to an expected value.

(verify (assert (<= 0.8 (probability/v (grover-search n) n))))

Running the verifier

Finally, if your verification queries are defined in the same file, to test the program can use:

$ racket {dir/example}.rkt

To load the operations interactively first open the racket repl:

$ racket

And then load the file

> (enter! (file "{dir/example}.rkt"))

Examples

Teleportation

Extract from examples/teleportation.rkt

(operation (teleport)
  (begin
    (mutable result #f)
    (using ([msg (qubit)]
            [here (qubit)]
            [there (qubit)])
      (x msg)
      (h msg)

      (h here)

      (cnot here there)

      (cnot msg here)
      (h msg)

      (if (m msg)
          (z there))
      (if (m here)
          (x there))

      (h there)
      (set result (m there)))
    (return result)))

Entanglement

Extract from examples/entanglement.rkt

(operation (entanglement b)
  (begin
    (mutable r1 #f)
    (mutable r2 #f)
    (using ([q1 (qubit)]
            [q2 (qubit)])
           (h q1)
           (cnot q1 q2)
           (if b
               (x q1))
           (set r1 (m q1))
           (set r2 (m q2))
           (reset q1)
           (reset q2))
    (return (= r1 r2))))

To see how the examples are tested, see the full files in the example folder.