def extrapolate_effect(self, factor: Union[float, value.Symbol]
) -> 'SingleQubitMatrixGate':
if isinstance(factor, value.Symbol):
raise TypeError('SingleQubitMatrixGate cannot be parameterized.')
e = cast(float, factor)
new_mat = linalg.map_eigenvalues(self.matrix(), lambda b: b**e)
return SingleQubitMatrixGate(new_mat)
def recompose_kak(g, a, v, b) -> np.ndarray:
a1, a0 = a
x, y, z = v
b1, b0 = b
xx = linalg.kron(X, X)
yy = linalg.kron(Y, Y)
zz = linalg.kron(Z, Z)
a = linalg.kron(a1, a0)
m = linalg.map_eigenvalues(xx * x + yy * y + zz * z,
lambda e: np.exp(1j * e))
b = linalg.kron(b1, b0)
return linalg.dot(a, m, b) * g
def __pow__(self, exponent: Any) -> 'SingleQubitMatrixGate':
if not isinstance(exponent, (int, float)):
return NotImplemented
e = cast(float, exponent)
new_mat = linalg.map_eigenvalues(self._matrix, lambda b: b**e)
return SingleQubitMatrixGate(new_mat)
def extrapolate_effect(self, factor: float):
new_mat = linalg.map_eigenvalues(self.matrix(), lambda e: e**factor)
return SingleQubitMatrixGate(new_mat)
]) * np.sqrt(0.5)),
(1, 1,
np.array([
[1, 0, 0, -1j],
[0, 1, -1j, 0],
[0, -1j, 1, 0],
[-1j, 0, 0, 1],
]) * np.sqrt(0.5)),
(1, 1,
np.array([
[1, 0, 0, 1j],
[0, 1, -1j, 0],
[0, -1j, 1, 0],
[1j, 0, 0, 1],
]) * np.sqrt(0.5)),
(1.5, 3, linalg.map_eigenvalues(ops.SWAP.matrix(), lambda e: e**0.5)),
(2, 2, ops.SWAP.matrix().dot(ops.CZ.matrix())),
(3, 3, ops.SWAP.matrix()),
(3, 3, np.array([
[0, 0, 0, 1],
[0, 1, 0, 0],
[0, 0, 1, 0],
[1, 0, 0, 0j],
])),
] + [(1, 2, _random_single_partial_cz_effect())
for _ in range(10)] + [(2, 2, _random_double_full_cz_effect())
for _ in range(10)] +
[(2, 3, _random_double_partial_cz_effect())
for _ in range(10)] +
[(3, 3, testing.random_unitary(4))
for _ in range(10)])
def extrapolate_effect(self, factor: float):
new_mat = linalg.map_eigenvalues(self.matrix(), lambda e: e**factor)
return SingleQubitMatrixGate(new_mat)
def test_map_eigenvalues_raise(matrix, exponent, desired):
exp_mapped = linalg.map_eigenvalues(matrix, lambda e: complex(e)**exponent)
assert np.allclose(desired, exp_mapped)
def test_map_eigenvalues_identity(matrix):
identity_mapped = linalg.map_eigenvalues(matrix, lambda e: e)
assert np.allclose(matrix, identity_mapped)
def _unitary_power(matrix: np.ndarray, power: float) -> np.ndarray:
return map_eigenvalues(matrix, lambda e: e**power)
