# Copyright (C) 2023 qBraid
#
# This file is part of the qBraid-SDK
#
# The qBraid-SDK is free software released under the GNU General Public License v3
# or later. You can redistribute and/or modify it under the terms of the GPL v3.
# See the LICENSE file in the project root or <https://www.gnu.org/licenses/gpl-3.0.html>.
#
# THERE IS NO WARRANTY for the qBraid-SDK, as per Section 15 of the GPL v3.
"""
Module for calculating unitary of quantum circuit/program
"""
from typing import TYPE_CHECKING
import numpy as np
from qbraid.programs import load_program
if TYPE_CHECKING:
import qbraid
def match_global_phase(a: np.ndarray, b: np.ndarray) -> tuple[np.ndarray, np.ndarray]:
"""
Matches the global phase of two numpy arrays.
This function aligns the global phases of two matrices by applying a phase shift based
on the position of the largest entry in one matrix. It computes and adjusts for the
phase difference at this position, resulting in two phase-aligned matrices. The output,
(a', b'), indicates that a' == b' is equivalent to a == b * exp(i * t) for some phase t.
Args:
a (np.ndarray): The first input matrix.
b (np.ndarray): The second input matrix.
Returns:
tuple[np.ndarray, np.ndarray]: A tuple of the two matrices `(a', b')`, adjusted for
global phase. If shapes of `a` and `b` do not match or
either is empty, returns copies of the original matrices.
"""
if a.shape != b.shape or a.size == 0:
return np.copy(a), np.copy(b)
k = max(np.ndindex(*a.shape), key=lambda t: abs(b[t]))
def dephase(v):
r = np.real(v)
i = np.imag(v)
if i == 0:
return -1 if r < 0 else 1
if r == 0:
return 1j if i < 0 else -1j
return np.exp(-1j * np.arctan2(i, r))
return a * dephase(a[k]), b * dephase(b[k])
[docs]
def assert_allclose_up_to_global_phase(a: np.ndarray, b: np.ndarray, atol: float, **kwargs) -> None:
"""
Checks if two numpy arrays are equal up to a global phase, within
a specified tolerance, i.e. if a ~= b * exp(i t) for some t.
Args:
a (np.ndarray): The first input array.
b (np.ndarray): The second input array.
atol (float): The absolute error tolerance.
**kwargs: Additional keyword arguments to pass to `np.testing.assert_allclose`.
Raises:
AssertionError: The matrices aren't nearly equal up to global phase.
"""
a, b = match_global_phase(a, b)
np.testing.assert_allclose(actual=a, desired=b, atol=atol, **kwargs)
[docs]
def circuits_allclose( # pylint: disable=too-many-arguments
circuit0: "qbraid.programs.QPROGRAM",
circuit1: "qbraid.programs.QPROGRAM",
index_contig: bool = False,
allow_rev_qubits: bool = False,
strict_gphase: bool = False,
atol: float = 1e-7,
) -> bool:
"""Check if quantum program unitaries are equivalent.
Args:
circuit0 (:data:`~qbraid.programs.QPROGRAM`): First quantum program to compare
circuit1 (:data:`~qbraid.programs.QPROGRAM`): Second quantum program to compare
index_contig: If True, calculates circuit unitaries using contiguous qubit indexing.
allow_rev_qubits: Whether to count identical circuits with reversed qubit ordering
as equivalent.
strict_gphase: If False, disregards global phase when verifying
equivalence of the input circuit's unitaries.
atol: Absolute tolerance parameter for np.allclose function.
Returns:
True if the input circuits pass unitary equality check
"""
def unitary_equivalence_check(unitary0, unitary1, unitary_rev=None):
if strict_gphase:
return np.allclose(unitary0, unitary1) or (
allow_rev_qubits and np.allclose(unitary0, unitary_rev)
)
try:
assert_allclose_up_to_global_phase(unitary0, unitary1, atol=atol)
except AssertionError:
if allow_rev_qubits:
try:
assert_allclose_up_to_global_phase(unitary0, unitary_rev, atol=atol)
except AssertionError:
return False
else:
return False
return True
program0 = load_program(circuit0)
program1 = load_program(circuit1)
if index_contig:
program0.remove_idle_qubits()
program1.remove_idle_qubits()
unitary0 = program0.unitary()
unitary1 = program1.unitary()
unitary_rev = program1.unitary_rev_qubits()
return unitary_equivalence_check(unitary0, unitary1, unitary_rev)