def test_CheckMulType():
"Qobj multiplication type"
# ket-bra and bra-ket multiplication
psi = basis(5)
dm = psi * psi.dag()
assert_(dm.isoper)
assert_(dm.isherm)
nrm = psi.dag() * psi
assert_equal(np.prod(nrm.shape), 1)
assert_((abs(nrm) == 1)[0, 0])
# operator-operator multiplication
H1 = rand_herm(3)
H2 = rand_herm(3)
out = H1 * H2
assert_(out.isoper)
out = H1 * H1
assert_(out.isoper)
assert_(out.isherm)
out = H2 * H2
assert_(out.isoper)
assert_(out.isherm)
U = rand_unitary(5)
out = U.dag() * U
assert_(out.isoper)
assert_(out.isherm)
N = num(5)
out = N * N
assert_(out.isoper)
assert_(out.isherm)
# operator-ket and bra-operator multiplication
op = sigmax()
ket1 = basis(2)
ket2 = op * ket1
assert_(ket2.isket)
bra1 = basis(2).dag()
bra2 = bra1 * op
assert_(bra2.isbra)
assert_(bra2.dag() == ket2)
# superoperator-operket and operbra-superoperator multiplication
sop = to_super(sigmax())
opket1 = operator_to_vector(fock_dm(2))
opket2 = sop * opket1
assert(opket2.isoperket)
opbra1 = operator_to_vector(fock_dm(2)).dag()
opbra2 = opbra1 * sop
assert(opbra2.isoperbra)
assert_(opbra2.dag() == opket2)
def test_CheckMulType():
"Qobj multiplication type"
# ket-bra and bra-ket multiplication
psi = basis(5)
dm = psi * psi.dag()
assert_(dm.isoper)
assert_(dm.isherm)
nrm = psi.dag() * psi
assert_equal(np.prod(nrm.shape), 1)
assert_((abs(nrm) == 1)[0, 0])
# operator-operator multiplication
H1 = rand_herm(3)
H2 = rand_herm(3)
out = H1 * H2
assert_(out.isoper)
out = H1 * H1
assert_(out.isoper)
assert_(out.isherm)
out = H2 * H2
assert_(out.isoper)
assert_(out.isherm)
U = rand_unitary(5)
out = U.dag() * U
assert_(out.isoper)
assert_(out.isherm)
N = num(5)
out = N * N
assert_(out.isoper)
assert_(out.isherm)
# operator-ket and bra-operator multiplication
op = sigmax()
ket1 = basis(2)
ket2 = op * ket1
assert_(ket2.isket)
bra1 = basis(2).dag()
bra2 = bra1 * op
assert_(bra2.isbra)
assert_(bra2.dag() == ket2)
# superoperator-operket and operbra-superoperator multiplication
sop = to_super(sigmax())
opket1 = operator_to_vector(fock_dm(2))
opket2 = sop * opket1
assert(opket2.isoperket)
opbra1 = operator_to_vector(fock_dm(2)).dag()
opbra2 = opbra1 * sop
assert(opbra2.isoperbra)
assert_(opbra2.dag() == opket2)
def test_CheckMulType():
"Qobj multiplication type"
# ket-bra and bra-ket multiplication
psi = basis(5)
dm = psi * psi.dag()
assert dm.isoper
assert dm.isherm
nrm = psi.dag() * psi
assert np.prod(nrm.shape) == 1
assert abs(nrm)[0, 0] == 1
# operator-operator multiplication
H1 = rand_herm(3)
H2 = rand_herm(3)
out = H1 * H2
assert out.isoper
out = H1 * H1
assert out.isoper
assert out.isherm
out = H2 * H2
assert out.isoper
assert out.isherm
U = rand_unitary(5)
out = U.dag() * U
assert out.isoper
assert out.isherm
N = num(5)
out = N * N
assert out.isoper
assert out.isherm
# operator-ket and bra-operator multiplication
op = sigmax()
ket1 = basis(2)
ket2 = op * ket1
assert ket2.isket
bra1 = basis(2).dag()
bra2 = bra1 * op
assert bra2.isbra
assert bra2.dag() == ket2
# superoperator-operket and operbra-superoperator multiplication
sop = to_super(sigmax())
opket1 = operator_to_vector(fock_dm(2))
opket2 = sop * opket1
assert opket2.isoperket
opbra1 = operator_to_vector(fock_dm(2)).dag()
opbra2 = opbra1 * sop
assert opbra2.isoperbra
assert opbra2.dag() == opket2
def testOperatorDensityMatrix(self):
"""
expect: operator and density matrix
"""
N = 10
op_N = num(N)
op_a = destroy(N)
for n in range(N):
e = expect(op_N, fock_dm(N, n))
assert_(e == n)
assert_(type(e) == float)
e = expect(op_a, fock_dm(N, n))
assert_(e == 0)
assert_(type(e) == complex)
def testOperatorKet(self):
"""
expect: operator and ket
"""
N = 10
op_N = num(N)
op_a = destroy(N)
for n in range(N):
e = expect(op_N, fock(N, n))
assert_(e == n)
assert_(type(e) == float)
e = expect(op_a, fock(N, n))
assert_(e == 0)
assert_(type(e) == complex)
def testOperatorDensityMatrix(self):
"""
expect: operator and density matrix
"""
N = 10
op_N = num(N)
op_a = destroy(N)
for n in range(N):
e = expect(op_N, fock_dm(N, n))
assert_(e == n)
assert_(type(e) == float)
e = expect(op_a, fock_dm(N, n))
assert_(e == 0)
assert_(type(e) == complex)
def testOperatorKet(self):
"""
expect: operator and ket
"""
N = 10
op_N = num(N)
op_a = destroy(N)
for n in range(N):
e = expect(op_N, fock(N, n))
assert_(e == n)
assert_(type(e) == float)
e = expect(op_a, fock(N, n))
assert_(e == 0)
assert_(type(e) == complex)
def get_noisy_dynamics(self,
dims=None,
pulses=None,
systematic_noise=None):
if systematic_noise is None:
systematic_noise = Pulse(None, None, label="system")
N = len(dims)
self.t1 = self._T_to_list(self.t1, N)
self.t2 = self._T_to_list(self.t2, N)
if len(self.t1) != N or len(self.t2) != N:
raise ValueError("Length of t1 or t2 does not match N, "
"len(t1)={}, len(t2)={}".format(
len(self.t1), len(self.t2)))
if self.targets is None:
targets = range(N)
else:
targets = self.targets
for qu_ind in targets:
t1 = self.t1[qu_ind]
t2 = self.t2[qu_ind]
if t1 is not None:
op = 1 / np.sqrt(t1) * destroy(dims[qu_ind])
systematic_noise.add_lindblad_noise(op, qu_ind, coeff=True)
if t2 is not None:
# Keep the total dephasing ~ exp(-t/t2)
if t1 is not None:
if 2 * t1 < t2:
raise ValueError("t1={}, t2={} does not fulfill "
"2*t1>t2".format(t1, t2))
T2_eff = 1. / (1. / t2 - 1. / 2. / t1)
else:
T2_eff = t2
op = 1 / np.sqrt(2 * T2_eff) * 2 * num(dims[qu_ind])
systematic_noise.add_lindblad_noise(op, qu_ind, coeff=True)
return pulses, systematic_noise
def testOperatorStateList(self):
"""
expect: operator and state list
"""
N = 10
op = num(N)
res = expect(op, [fock(N, n) for n in range(N)])
assert_(all(res == range(N)))
assert_(isinstance(res, np.ndarray) and res.dtype == np.float64)
res = expect(op, [fock_dm(N, n) for n in range(N)])
assert_(all(res == range(N)))
assert_(isinstance(res, np.ndarray) and res.dtype == np.float64)
op = destroy(N)
res = expect(op, [fock(N, n) for n in range(N)])
assert_(all(res == np.zeros(N)))
assert_(isinstance(res, np.ndarray) and res.dtype == np.complex128)
res = expect(op, [fock_dm(N, n) for n in range(N)])
assert_(all(res == np.zeros(N)))
assert_(isinstance(res, np.ndarray) and res.dtype == np.complex128)
def testOperatorStateList(self):
"""
expect: operator and state list
"""
N = 10
op = num(N)
res = expect(op, [fock(N, n) for n in range(N)])
assert_(all(res == range(N)))
assert_(isinstance(res, np.ndarray) and res.dtype == np.float64)
res = expect(op, [fock_dm(N, n) for n in range(N)])
assert_(all(res == range(N)))
assert_(isinstance(res, np.ndarray) and res.dtype == np.float64)
op = destroy(N)
res = expect(op, [fock(N, n) for n in range(N)])
assert_(all(res == np.zeros(N)))
assert_(isinstance(res, np.ndarray) and res.dtype == np.complex128)
res = expect(op, [fock_dm(N, n) for n in range(N)])
assert_(all(res == np.zeros(N)))
assert_(isinstance(res, np.ndarray) and res.dtype == np.complex128)