def test_fidelity_bounded_purepure(tol=1e-7):
"""
Metrics: Fidelity of pure states within [0, 1].
"""
for _ in range(10):
psi = rand_ket_haar(17)
phi = rand_ket_haar(17)
F = fidelity(psi, phi)
assert_(-tol <= F <= 1 + tol)
def test_fidelity_bounded_purepure(tol=1e-7):
"""
Metrics: Fidelity of pure states within [0, 1].
"""
for _ in range(10):
psi = rand_ket_haar(17)
phi = rand_ket_haar(17)
F = fidelity(psi, phi)
assert_(-tol <= F <= 1 + tol)
def test_fidelity_overlap():
"""
Metrics: Checks fidelity against pure-state overlap. (#631)
"""
for _ in range(10):
psi = rand_ket_haar(7)
phi = rand_ket_haar(7)
assert_almost_equal(fidelity(psi, phi), np.abs((psi.dag() * phi)[0,
0]))
def test_fidelity_overlap():
"""
Metrics: Checks fidelity against pure-state overlap. (#631)
"""
for _ in range(10):
psi = rand_ket_haar(7)
phi = rand_ket_haar(7)
assert_almost_equal(
fidelity(psi, phi),
np.abs((psi.dag() * phi)[0, 0])
)
def test_fidelity_max():
"""
Metrics: Fidelity of a pure state w/ itself should be 1.
"""
for _ in range(10):
psi = rand_ket_haar(13)
assert_almost_equal(fidelity(psi, psi), 1)
def test_fidelity_max():
"""
Metrics: Fidelity of a pure state w/ itself should be 1.
"""
for _ in range(10):
psi = rand_ket_haar(13)
assert_almost_equal(fidelity(psi, psi), 1)
def test_fidelity_bounded_puremixed(tol=1e-7):
"""
Metrics: Fidelity of pure states against mixed states within [0, 1].
"""
for _ in range(10):
psi = rand_ket_haar(11)
sigma = rand_dm_ginibre(11)
F = fidelity(psi, sigma)
assert_(-tol <= F <= 1 + tol)
def test_fidelity_bounded_puremixed(tol=1e-7):
"""
Metrics: Fidelity of pure states against mixed states within [0, 1].
"""
for _ in range(10):
psi = rand_ket_haar(11)
sigma = rand_dm_ginibre(11)
F = fidelity(psi, sigma)
assert_(-tol <= F <= 1 + tol)
