D1. Oracle for f(x) = b * x mod 2
time limit per test
1 second
memory limit per test
256 megabytes
standard input
standard output

Implement a quantum oracle on N qubits which implements the following function: , where (a vector of N integers, each of which can be 0 or 1).

For an explanation on how this type of quantum oracles works, see Introduction to quantum oracles.

You have to implement an operation which takes the following inputs:

  • an array of N qubits x in arbitrary state (input register), 1 ≤ N ≤ 8,
  • a qubit y in arbitrary state (output qubit),
  • an array of N integers b, representing the vector . Each element of b will be 0 or 1.

The operation doesn't have an output; its "output" is the state in which it leaves the qubits.

Your code should have the following signature:

namespace Solution {
open Microsoft.Quantum.Primitive;
open Microsoft.Quantum.Canon;

operation Solve (x : Qubit[], y : Qubit, b : Int[]) : ()
// your code here