def test_xxyy_matrix():
numpy.testing.assert_allclose(XXYYGate(half_turns=2).matrix(),
numpy.array([[1, 0, 0, 0],
[0, -1, 0, 0],
[0, 0, -1, 0],
[0, 0, 0, 1]]),
atol=1e-8)
numpy.testing.assert_allclose(XXYYGate(half_turns=1).matrix(),
numpy.array([[1, 0, 0, 0],
[0, 0, -1j, 0],
[0, -1j, 0, 0],
[0, 0, 0, 1]]),
atol=1e-8)
numpy.testing.assert_allclose(XXYYGate(half_turns=0).matrix(),
numpy.array([[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1]]),
atol=1e-8)
numpy.testing.assert_allclose(XXYYGate(half_turns=-1).matrix(),
numpy.array([[1, 0, 0, 0],
[0, 0, 1j, 0],
[0, 1j, 0, 0],
[0, 0, 0, 1]]),
atol=1e-8)
X = numpy.array([[0, 1], [1, 0]])
Y = numpy.array([[0, -1j], [1j, 0]])
XX = kron(X, X)
YY = kron(Y, Y)
numpy.testing.assert_allclose(XXYYGate(half_turns=0.25).matrix(),
expm(-1j * numpy.pi * 0.25 * (XX + YY) / 4))
def one_and_two_body_interaction(p, q, a, b) -> cirq.OP_TREE:
yield XXYYGate(duration=self.hamiltonian.one_body[p, q].real *
time).on(a, b)
yield YXXYGate(duration=self.hamiltonian.one_body[p, q].imag *
time).on(a, b)
yield cirq.Rot11Gate(rads=-2 * self.hamiltonian.two_body[p, q] *
time).on(a, b)
def one_and_two_body_interaction(p, q, a, b) -> cirq.OP_TREE:
t_symbol = LetterWithSubscripts('T', p, q, i)
w_symbol = LetterWithSubscripts('W', p, q, i)
v_symbol = LetterWithSubscripts('V', p, q, i)
if t_symbol in param_set:
yield XXYYGate(half_turns=t_symbol).on(a, b)
if w_symbol in param_set:
yield YXXYGate(half_turns=w_symbol).on(a, b)
if v_symbol in param_set:
yield cirq.Rot11Gate(half_turns=v_symbol).on(a, b)
def one_and_two_body_interaction(p, q, a, b) -> cirq.OP_TREE:
if 'T{}_{}'.format(p, q) + suffix in self.params:
yield XXYYGate(half_turns=self.params[
'T{}_{}'.format(p, q) + suffix]).on(a, b)
if 'W{}_{}'.format(p, q) + suffix in self.params:
yield YXXYGate(half_turns=self.params[
'W{}_{}'.format(p, q) + suffix]).on(a, b)
if 'V{}_{}'.format(p, q) + suffix in self.params:
yield cirq.Rot11Gate(half_turns=self.params[
'V{}_{}'.format(p, q) + suffix]).on(a, b)
def test_xxyy_repr():
assert repr(XXYYGate(half_turns=1)) == 'XXYY'
assert repr(XXYYGate(half_turns=0.5)) == 'XXYY**0.5'
def test_xxyy_eq():
eq = EqualsTester()
eq.add_equality_group(XXYYGate(half_turns=3.5),
XXYYGate(half_turns=-0.5),
XXYYGate(rads=-0.5 * numpy.pi),
XXYYGate(degs=-90),
XXYYGate(duration=-0.5 * numpy.pi / 2))
eq.add_equality_group(XXYYGate(half_turns=1.5),
XXYYGate(half_turns=-2.5),
XXYYGate(rads=1.5 * numpy.pi),
XXYYGate(degs=-450),
XXYYGate(duration=-2.5 * numpy.pi / 2))
eq.make_equality_group(lambda: XXYYGate(half_turns=0))
eq.make_equality_group(lambda: XXYYGate(half_turns=0.5))
def test_xxyy_init_with_multiple_args_fails():
with pytest.raises(ValueError):
_ = XXYYGate(half_turns=1.0, duration=numpy.pi/2)
def test_xxyy_init():
assert XXYYGate(half_turns=0.5).half_turns == 0.5
assert XXYYGate(half_turns=1.5).half_turns == 1.5
assert XXYYGate(half_turns=5).half_turns == 1
def trotter_step(
self,
qubits: Sequence[cirq.QubitId],
time: float,
control_qubit: Optional[cirq.QubitId]=None
) -> cirq.OP_TREE:
n_qubits = len(qubits)
# Simulate the off-diagonal one-body terms.
yield swap_network(
qubits,
lambda p, q, a, b: XXYYGate(duration=
self.one_body_coefficients[p, q].real * time).on(a, b),
fermionic=True)
qubits = qubits[::-1]
# Simulate the diagonal one-body terms.
yield (cirq.RotZGate(rads=
-self.one_body_coefficients[j, j].real * time).on(qubits[j])
for j in range(n_qubits))
# Simulate each singular vector of the two-body terms.
prior_basis_matrix = numpy.identity(n_qubits, complex)
for j in range(len(self.eigenvalues)):
# Get the basis change matrix and its inverse.
two_body_coefficients = self.scaled_density_density_matrices[j]
basis_change_matrix = self.basis_change_matrices[j]
# If the basis change matrix is unitary, merge rotations.
# Otherwise, you must simulate two basis rotations.
is_unitary = cirq.is_unitary(basis_change_matrix)
if is_unitary:
inverse_basis_matrix = numpy.conjugate(
numpy.transpose(basis_change_matrix))
merged_basis_matrix = numpy.dot(prior_basis_matrix,
inverse_basis_matrix)
yield bogoliubov_transform(qubits, merged_basis_matrix)
else:
# TODO add LiH test to cover this.
# coverage: ignore
if j:
yield bogoliubov_transform(qubits, prior_basis_matrix)
yield cirq.inverse(
bogoliubov_transform(qubits, basis_change_matrix))
# Simulate the off-diagonal two-body terms.
yield swap_network(
qubits,
lambda p, q, a, b: cirq.Rot11Gate(rads=
-2 * two_body_coefficients[p, q] * time).on(a, b))
qubits = qubits[::-1]
# Simulate the diagonal two-body terms.
yield (cirq.RotZGate(rads=
-two_body_coefficients[k, k] * time).on(qubits[k])
for k in range(n_qubits))
# Undo basis transformation non-unitary case.
# Else, set basis change matrix to prior matrix for merging.
if is_unitary:
prior_basis_matrix = basis_change_matrix
else:
# TODO add LiH test to cover this.
# coverage: ignore
yield bogoliubov_transform(qubits, basis_change_matrix)
prior_basis_matrix = numpy.identity(n_qubits, complex)
# Undo final basis transformation in unitary case.
if is_unitary:
yield bogoliubov_transform(qubits, prior_basis_matrix)
