Unitary Function

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Given a

2^{n}\times2^{n}

unitary matrix, the unitary-gate function constructs an equivalent unitary function that acts on

n

qubits accordingly. For

n>2

, the synthesis process implementation is based on [1]. Function: unitary Arguments:

elements: CArray[CArray[CReal]]
A 2d array of complex numbers representing the unitary matrix.
target: QArray[QBit]
The quantum state to apply the unitary on.

Should be of corresponding size.

Example

This example shows a

2

-qubit unitary function application in the formed

4

-dimensional space.

from classiq import *

UNITARY = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1j, 0], [0, 0, 0, 1j]]


@qfunc
def main(x: Output[QArray[QBit]]):
    allocate(2, x)
    unitary(UNITARY, x)


qprog = synthesize(main)

References

[1] R. Iten et al, Quantum Circuits for Isometries, Phys. Rev. A 93 (2016). https://link.aps.org/doi/10.1103/PhysRevA.93.032318

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