def test_two_mode_squeeze_coeff(self, hbar):
"""Test quadratic coefficients for S2gate"""
H, _ = two_mode_squeezing(0.23, hbar=hbar)
res, d = quadratic_coefficients(get_quad_operator(H, hbar))
expected = np.fliplr(np.diag([1] * 4))
assert np.allclose(res, expected)
assert np.allclose(d, np.zeros([4]))
def test_quad_form(self, hbar):
"""Test it has the correct form using quadrature operators"""
H, _ = two_mode_squeezing(2, mode1=1, mode2=3, hbar=hbar)
H = normal_ordered(get_quad_operator(H, hbar=hbar), hbar=hbar)
expected = QuadOperator('q1 p3', 1)
expected += QuadOperator('p1 q3', 1)
assert H == expected
def test_quad_form(self, hbar):
"""Test it has the correct form using quadrature operators"""
H, _ = beamsplitter(np.pi / 4, np.pi / 2, mode1=1, mode2=3, hbar=hbar)
H = normal_ordered(get_quad_operator(H, hbar=hbar), hbar=hbar)
expected = QuadOperator('q1 q3', -1)
expected += QuadOperator('p1 p3', -1)
assert H == expected
def test_quad_form(self, hbar):
"""Test it has the correct form using quadrature operators"""
H, _ = squeezing(2, mode=1)
H = normal_ordered(get_quad_operator(H, hbar=hbar), hbar=hbar)
expected = QuadOperator('q1 p1', -1)
expected += QuadOperator('', 1j)
assert H == expected
def test_two_mode_squeeze_coeff(self):
"""Test quadratic coefficients for S2gate"""
self.logTestName()
H, _ = two_mode_squeezing(0.23, hbar=self.hbar)
res, d = quadratic_coefficients(get_quad_operator(H, self.hbar))
expected = np.fliplr(np.diag([1]*4))
self.assertTrue(np.allclose(res, expected))
self.assertTrue(np.allclose(d, np.zeros([4])))
def test_quad_form(self, hbar):
"""Test it has the correct form using quadrature operators"""
H, _ = rotation(self.phi, mode=1, hbar=hbar)
H = normal_ordered(get_quad_operator(H, hbar=hbar), hbar=hbar)
expected = QuadOperator('q1 q1', -1 / hbar)
expected += QuadOperator('p1 p1', -1 / hbar)
expected += QuadOperator('', 1)
assert H == expected
def test_Dgate_displacement(self, hbar):
"""Test displacement vector matches Dgate"""
a = 0.23 - 0.432j
H, t = displacement(a, hbar=hbar)
_, d = quadratic_coefficients(get_quad_operator(H, hbar))
expected = np.array([a.real, a.imag]) * np.sqrt(2 * hbar) / t
assert np.allclose(d, expected)
assert np.allclose(a, t * (d[0] + d[1] * 1j) / np.sqrt(2 * hbar))
def test_rotation_coeff(self, hbar):
"""Test quadratic coefficients for Rgate"""
# one mode
H, _ = rotation(0.23, hbar=hbar)
res, d = quadratic_coefficients(get_quad_operator(H, hbar))
expected = -np.diag(np.array([1, 1]))
assert np.allclose(res, expected)
assert np.allclose(d, np.zeros([2]))
# two modes
H, _ = rotation(0.23, mode=1, hbar=hbar)
res, d = quadratic_coefficients(get_quad_operator(H, hbar))
expected = np.zeros([4, 4])
expected[1, 1] = -1
expected[3, 3] = -1
assert np.allclose(res, expected)
assert np.allclose(d, np.zeros([4]))
def test_rotation_coeff(self):
"""Test quadratic coefficients for Rgate"""
self.logTestName()
# one mode
H, _ = rotation(0.23, hbar=self.hbar)
res, d = quadratic_coefficients(get_quad_operator(H, self.hbar))
expected = -np.diag(np.array([1, 1]))
self.assertTrue(np.allclose(res, expected))
self.assertTrue(np.allclose(d, np.zeros([2])))
# two modes
H, _ = rotation(0.23, mode=1, hbar=self.hbar)
res, d = quadratic_coefficients(get_quad_operator(H, self.hbar))
expected = np.zeros([4, 4])
expected[1, 1] = -1
expected[3, 3] = -1
self.assertTrue(np.allclose(res, expected))
self.assertTrue(np.allclose(d, np.zeros([4])))
def test_squeeze_coeff(self, hbar):
"""Test quadratic coefficients for Sgate"""
# one mode
# pylint: disable=invalid-unary-operand-type
H, _ = squeezing(0.23, hbar=hbar)
res, d = quadratic_coefficients(get_quad_operator(H, hbar))
expected = -np.array([[0, 1], [1, 0]])
assert np.allclose(res, expected)
assert np.allclose(d, np.zeros([2]))
# two modes
H, _ = squeezing(0.23, mode=1, hbar=hbar)
res, d = quadratic_coefficients(get_quad_operator(H, hbar))
expected = np.zeros([4, 4])
expected[1, 3] = -1
expected[3, 1] = -1
assert np.allclose(res, expected)
assert np.allclose(d, np.zeros([4]))
def test_quad_form(self):
"""Test it has the correct form using quadrature operators"""
self.logTestName()
H, _ = squeezing(2, mode=1)
H = normal_ordered(get_quad_operator(H, hbar=self.hbar),
hbar=self.hbar)
expected = QuadOperator('q1 p1', -1)
expected += QuadOperator('', 1j)
self.assertEqual(H, expected)
def test_quad_form(self):
"""Test it has the correct form using quadrature operators"""
self.logTestName()
H, _ = two_mode_squeezing(2, mode1=1, mode2=3, hbar=self.hbar)
H = normal_ordered(get_quad_operator(H, hbar=self.hbar),
hbar=self.hbar)
expected = QuadOperator('q1 p3', 1)
expected += QuadOperator('p1 q3', 1)
self.assertEqual(H, expected)
def __init__(self, operator, t=1, mode='local'):
super().__init__([t])
if not is_hermitian(operator):
raise ValueError("Hamiltonian must be Hermitian.")
if mode == 'local':
quad_operator = prune_unused_indices(operator)
elif mode == 'global':
quad_operator = operator
if isinstance(quad_operator, BosonOperator):
quad_operator = get_quad_operator(quad_operator, hbar=sf.hbar)
A, d = quadratic_coefficients(quad_operator)
if mode == 'local':
self.ns = A.shape[0] // 2
elif mode == 'global':
# pylint: disable=protected-access
self.ns = pu.Program_current_context.num_subsystems
if A.shape[0] < 2 * self.ns:
# expand the quadratic coefficient matrix to take
# into account the extra modes
A_n = A.shape[0] // 2
tmp = np.zeros([2 * self.ns, 2 * self.ns])
tmp[:A_n, :A_n] = A[:A_n, :A_n]
tmp[:A_n, self.ns:self.ns + A_n] = A[:A_n, A_n:]
tmp[self.ns:self.ns + A_n, :A_n] = A[A_n:, :A_n]
tmp[self.ns:self.ns + A_n, self.ns:self.ns + A_n] = A[A_n:,
A_n:]
A = tmp
self.S = expm(sympmat(self.ns) @ A * t)
self.disp = False
if not np.all(d == 0.):
self.disp = True
if np.all(A == 0.):
self.d = d * t
else:
if np.linalg.cond(A) >= 1 / sys.float_info.epsilon:
# the matrix is singular, add a small epsilon
eps = 1e-9
epsI = eps * np.identity(2 * self.ns)
s = inv(A + epsI) @ d
tmp = (np.identity(2*self.ns) \
- expm(sympmat(self.ns) @ (A+epsI) * t).T) @ s / eps
else:
s = inv(A) @ d
tmp = s - self.S.T @ s
self.d = np.zeros([2 * self.ns])
self.d[self.ns:] = tmp[:self.ns]
self.d[:self.ns] = tmp[self.ns:]
def test_Dgate_displacement(self):
"""Test displacement vector matches Dgate"""
self.logTestName()
a = 0.23-0.432j
H, t = displacement(a, hbar=self.hbar)
_, d = quadratic_coefficients(get_quad_operator(H, self.hbar))
expected = np.array([a.real, a.imag])*np.sqrt(2*self.hbar)/t
self.assertTrue(np.allclose(d, expected))
self.assertTrue(np.allclose(a, t*(d[0]+d[1]*1j)/np.sqrt(2*self.hbar)))
def test_quad_form(self):
"""Test it has the correct form using quadrature operators"""
self.logTestName()
H, _ = rotation(self.phi, mode=1, hbar=self.hbar)
H = normal_ordered(get_quad_operator(H, hbar=self.hbar),
hbar=self.hbar)
expected = QuadOperator('q1 q1', -0.5)
expected += QuadOperator('p1 p1', -0.5)
expected += QuadOperator('', 1)
self.assertEqual(H, expected)
def setUp(self):
"""parameters"""
self.hbar = 2.
self.eng, _ = sf.Engine(2, hbar=self.hbar)
self.J = -1
self.U = 1.5
self.t = 1.086
self.k = 20
self.tol = 1e-2
self.H = bose_hubbard(1, 2, self.J, self.U)
self.Hquad = get_quad_operator(self.H, hbar=self.hbar)
def test_quad_form(self):
"""Test it has the correct form using quadrature operators"""
self.logTestName()
H, _ = beamsplitter(np.pi / 4,
np.pi / 2,
mode1=1,
mode2=3,
hbar=self.hbar)
H = normal_ordered(get_quad_operator(H, hbar=self.hbar),
hbar=self.hbar)
expected = QuadOperator('q1 q3', -1)
expected += QuadOperator('p1 p3', -1)
self.assertEqual(H, expected)
def test_beamsplitter_coeff(self, hbar):
"""Test quadratic coefficients for BSgate"""
# arbitrary beamsplitter
theta = 0.5423
phi = 0.3242
H, _ = beamsplitter(theta, phi, hbar=hbar)
res, d = quadratic_coefficients(get_quad_operator(H, hbar=hbar))
expected = np.zeros([4, 4])
expected[0, 3] = expected[3, 0] = -np.cos(np.pi - phi)
expected[1, 2] = expected[2, 1] = np.cos(np.pi - phi)
expected[0, 1] = expected[1, 0] = -np.sin(np.pi - phi)
expected[2, 3] = expected[3, 2] = -np.sin(np.pi - phi)
assert np.allclose(res, expected)
assert np.allclose(d, np.zeros([4]))
def test_1x2_quadrature_operators(self, eng, tol):
"""Test a 1x2 lattice Bose-Hubbard model by passing quadrature
operators instead of ladder operators"""
prog = sf.Program(2)
H = get_quad_operator(bose_hubbard(1, 2, self.J, self.U), hbar=2)
with prog.context as q:
Fock(2) | q[0]
BoseHubbardPropagation(H, self.t, self.k) | q
state = eng.run(prog).state
Hm = -self.J*np.sqrt(2)*np.array([[0, 1, 0], [1, 0, 1], [0, 1, 0]]) \
+ self.U*np.diag([1, 0, 1])
init_state = np.array([1, 0, 0])
exp = np.abs(np.dot(expm(-1j * self.t * Hm), init_state))**2
assert np.allclose(state.fock_prob([2, 0]), exp[0], rtol=tol)
assert np.allclose(state.fock_prob([1, 1]), exp[1], rtol=tol)
assert np.allclose(state.fock_prob([0, 2]), exp[2], rtol=tol)
def test_hermitian(self, hbar):
"""Test output is hermitian"""
H, _ = displacement(self.alpha, hbar=hbar)
assert is_hermitian(H)
assert is_hermitian(get_quad_operator(H))
def test_gaussian(self):
"""Test output is gaussian"""
self.logTestName()
H, _ = rotation(self.phi, hbar=self.hbar)
res = get_quad_operator(H, hbar=self.hbar).is_gaussian()
self.assertTrue(res)
def test_gaussian(self, hbar):
"""Test output is gaussian"""
H, _ = kerr(self.kappa, hbar=hbar)
res = get_quad_operator(H).is_gaussian()
assert not res
def test_hermitian(self, hbar):
"""Test output is hermitian"""
H, _ = kerr(self.kappa, hbar=hbar)
assert is_hermitian(H)
assert is_hermitian(get_quad_operator(H))
def test_gaussian(self):
"""Test output is gaussian"""
res = get_quad_operator(self.H).is_gaussian()
self.assertTrue(res)
def test_gaussian(self, hbar):
"""Test output is gaussian"""
H, _ = displacement(self.alpha, hbar=hbar)
res = get_quad_operator(H, hbar=hbar).is_gaussian()
assert res
def test_gaussian(self):
"""Test output is gaussian"""
self.logTestName()
H, _ = displacement(self.alpha, hbar=self.hbar)
res = get_quad_operator(H, hbar=self.hbar).is_gaussian()
self.assertTrue(res)
def test_gaussian(self):
"""Test output is gaussian"""
self.logTestName()
res = get_quad_operator(self.H).is_gaussian()
self.assertFalse(res)
def test_hermitian(self):
"""Test output is hermitian"""
self.logTestName()
self.assertTrue(is_hermitian(self.H))
self.assertTrue(is_hermitian(get_quad_operator(self.H)))
def test_hermitian(self):
"""Test output is hermitian"""
self.logTestName()
H, _ = displacement(self.alpha, hbar=self.hbar)
self.assertTrue(is_hermitian(H))
self.assertTrue(is_hermitian(get_quad_operator(H)))
def test_hermitian(self):
"""Test output is hermitian"""
self.logTestName()
H, _ = rotation(self.phi, hbar=self.hbar)
self.assertTrue(is_hermitian(H))
self.assertTrue(is_hermitian(get_quad_operator(H)))