def make_cs_operator():
cs_matrix = np.array([[1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j],
[0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j],
[0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j],
[0 + 0j, 0 + 0j, 0 + 0j, 0 + 1j]])
cs = Operator(cs_matrix)
print("Operator is unitary:", cs.is_unitary())
return cs
def unit_tests(n):
if not os.path.exists('uf/bv'):
os.makedirs('uf/bv')
SAVEPATH = 'uf/bv/'
FILEPATH = f'bv{n}'
APATH = 'a_dict'
BPATH = 'b_dict'
if not os.path.exists(f'{SAVEPATH}{FILEPATH}.npy'):
if os.path.exists(f'{SAVEPATH}{APATH}.npy'):
a_list = np.load(f'{SAVEPATH}{APATH}.npy',
allow_pickle=True).item()
else:
a_list = {}
if os.path.exists(f'{SAVEPATH}{BPATH}.npy'):
b_list = np.load(f'{SAVEPATH}{BPATH}.npy',
allow_pickle=True).item()
else:
b_list = {}
a = a_list[n] if n in a_list.keys() else np.random.randint(
low=0, high=2, size=n)
b = b_list[n] if n in b_list.keys() else np.random.randint(low=0,
high=2)
a_list[n] = a
b_list[n] = b
np.save(f'{SAVEPATH}{APATH}.npy', a_list, allow_pickle=True)
np.save(f'{SAVEPATH}{BPATH}.npy', b_list, allow_pickle=True)
print(
f'Generating bit mapping for {n}-qubit BV with a={"".join(str(i) for i in a)} and b={b} .. ',
end='',
flush=True)
mapping = oracle.init_bit_mapping(n, algo=oracle.Algos.BV, func=(a, b))
print('done')
print(f'Generating U_f from bit mapping .. ', end='', flush=True)
U_f = oracle.gen_matrix(mapping, n, 1)
print('done')
else:
print(
f'Loading U_f for {n}-qubit BV from {SAVEPATH}{FILEPATH}.npy .. ',
end='',
flush=True)
U_f = Operator(np.load(f'{SAVEPATH}{FILEPATH}.npy'))
print('done')
assert U_f.is_unitary()
if not os.path.exists(f'{SAVEPATH}{FILEPATH}.npy'):
print(f'Saving U_f for {n}-qubit BV to {SAVEPATH}{FILEPATH}.npy .. ',
end='',
flush=True)
np.save(f'{SAVEPATH}{FILEPATH}', U_f.data)
print('done')
print('')
def make_ct_operator():
ct_matrix = np.array([[1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j],
[0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j],
[0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j],
[0 + 0j, 0 + 0j, 0 + 0j,
np.exp(1j * np.pi / 4)]])
ct = Operator(ct_matrix)
print("Operator is unitary:", ct.is_unitary())
return ct
def unit_test(n):
if not os.path.exists('uf/grover'):
os.makedirs('uf/grover')
if not os.path.exists(f'{SAVEDIR}grover{str(n)}.npy'):
print(f'Generating bit mapping for {n}-qubit Grover .. ',
end='',
flush=True)
mapping = oracle.init_bit_mapping(n, algo=oracle.Algos.GROVER)
print('done')
if os.path.exists(f'{SAVEDIR}{FLIST}.npy'):
print(f'Loading f_list for Grover from {SAVEDIR}{FLIST}.npy .. ',
end='',
flush=True)
f_list = np.load(f'{SAVEDIR}{FLIST}.npy', allow_pickle=True).item()
print('done')
else:
f_list = {}
f_list[n] = mapping
print(f'Saving f_list for Grover to {SAVEDIR}{FLIST}.npy .. ',
end='',
flush=True)
np.save(f'{SAVEDIR}{FLIST}.npy', f_list, allow_pickle=True)
print('done')
print(f'Generating oracle matrix for {n}-qubit Grover .. ',
end='',
flush=True)
U_f = oracle.gen_matrix(mapping, n, 1)
print('done')
else:
print(
f'Loading U_f for {n}-qubit Grover from {SAVEDIR}grover{str(n)}.npy .. ',
end='',
flush=True)
U_f = Operator(np.load(f'{SAVEDIR}grover{str(n)}.npy'))
print("done")
print(f'Check if U_f is unitary .. ', end='', flush=True)
assert U_f.is_unitary()
print('done')
if not os.path.exists(f'{SAVEDIR}grover{str(n)}.npy'):
print(
f'Saving U_f for {n}-qubit Grover from {SAVEDIR}grover{str(n)}.npy .. ',
end='',
flush=True)
np.save(f'{SAVEDIR}grover{str(n)}.npy', U_f.data)
print("done")
def unit_test(n, s=None):
if not os.path.exists('uf/simon'):
os.makedirs('uf/simon')
if not os.path.exists(f'{SAVEDIR}simon{str(n)}.npy') or s is not None:
print(f'Generating bit mapping for {n}-qubit Simon .. ', end='', flush=True)
mapping = oracle.init_bit_mapping(n, algo=oracle.Algos.SIMON, s=s)
print('done')
print(f'Generating s value for newly generated {n}-bit mapping Simon .. ', end='', flush=True)
s = get_s(mapping)
print('done')
print(f'Checking validity of s value .. ', end='', flush=True)
assert is_valid(s, mapping)
print('done')
if os.path.exists(f'{SAVEDIR}{SLIST}.npy'):
print(f'Loading s_list for Simon from {SAVEDIR}{SLIST}.npy .. ', end='', flush=True)
s_list = np.load(f'{SAVEDIR}{SLIST}.npy', allow_pickle=True).item()
print('done')
else:
s_list={}
s_list[n] = s
print(f'Saving s_list for Simon to {SAVEDIR}{SLIST}.npy .. ', end='', flush=True)
np.save(f'{SAVEDIR}{SLIST}.npy', s_list, allow_pickle=True)
print('done')
print(f'Generating oracle matrix for {n}-qubit Simon .. ', end='', flush=True)
U_f = oracle.gen_matrix(mapping, n, n)
print('done')
else:
print(f'Loading U_f for {n}-qubit Simon from {SAVEDIR}simon{str(n)}.npy .. ', end='', flush=True)
U_f = Operator(np.load(f'{SAVEDIR}simon{str(n)}.npy'))
print("done")
print(f'Check if U_f is unitary .. ', end='', flush=True)
assert U_f.is_unitary()
print('done')
print(f'Saving U_f for {n}-qubit Simon from {SAVEDIR}simon{str(n)}.npy .. ', end='', flush=True)
np.save(f'{SAVEDIR}simon{str(n)}.npy', U_f.data)
print("done")
def unit_tests(n):
if not os.path.exists('uf'):
os.mkdir('uf')
if not os.path.exists('uf/dj'):
os.mkdir('uf/dj')
SAVEPATH = 'uf/dj/'
CONSTPATH = f'const{n}'
BALPATH = f'bal{n}'
if not os.path.exists(f'{SAVEPATH}{CONSTPATH}.npy'):
print(f'Generating bit mapping for {n}-qubit constant DJ .. ',
end='',
flush=True)
const_mapping = oracle.init_bit_mapping(n,
algo=oracle.Algos.DJ,
func=oracle.DJ.CONSTANT)
print('done')
assert is_bal_or_const(const_mapping, oracle.DJ.CONSTANT)
print(f'Generating U_f from bit mapping .. ', end='', flush=True)
U_const_f = oracle.gen_matrix(const_mapping, n, 1)
print('done')
else:
print(
f'Loading U_f for {n}-qubit constant DJ from {SAVEPATH}{CONSTPATH}.npy .. ',
end='',
flush=True)
U_const_f = Operator(np.load(f'{SAVEPATH}{CONSTPATH}.npy'))
print('done')
if not os.path.exists(f'{SAVEPATH}{BALPATH}.npy'):
print(f'Generating bit mapping for {n}-qubit balanced DJ .. ',
end='',
flush=True)
balanced_mapping = oracle.init_bit_mapping(n,
algo=oracle.Algos.DJ,
func=oracle.DJ.BALANCED)
print('done')
assert is_bal_or_const(balanced_mapping, oracle.DJ.BALANCED)
print(f'Generating U_f from bit mapping .. ', end='', flush=True)
U_bal_f = oracle.gen_matrix(balanced_mapping, n, 1)
print('done')
else:
print(
f'Loading U_f for {n}-qubit balanced DJ from {SAVEPATH}{BALPATH}.npy .. ',
end='',
flush=True)
U_bal_f = Operator(np.load(f'{SAVEPATH}{BALPATH}.npy'))
print('done')
assert U_const_f.is_unitary()
if not os.path.exists(f'{SAVEPATH}{CONSTPATH}.npy'):
print(
f'Saving U_f for {n}-qubit constant DJ to {SAVEPATH}{CONSTPATH}.npy .. ',
end='',
flush=True)
np.save(SAVEPATH + CONSTPATH, U_const_f.data)
print('done')
assert U_bal_f.is_unitary()
if not os.path.exists(f'{SAVEPATH}{BALPATH}.npy'):
print(
f'Saving U_f for {n}-qubit balanced DJ to {SAVEPATH}{BALPATH}.npy .. ',
end='',
flush=True)
np.save(SAVEPATH + BALPATH, U_bal_f.data)
print('done')
print('')
def process_fidelity(channel1, channel2, require_cptp=True):
"""Return the process fidelity between two quantum channels.
This is given by
F_p(E1, E2) = Tr[S2^dagger.S1])/dim^2
where S1 and S2 are the SuperOp matrices for channels E1 and E2,
and dim is the dimension of the input output statespace.
Args:
channel1 (QuantumChannel or matrix): a quantum channel or unitary matrix.
channel2 (QuantumChannel or matrix): a quantum channel or unitary matrix.
require_cptp (bool): require input channels to be CPTP [Default: True].
Returns:
array_like: The state fidelity F(state1, state2).
Raises:
QiskitError: if inputs channels do not have the same dimensions,
have different input and output dimensions, or are not CPTP with
`require_cptp=True`.
"""
# First we must determine if input is to be interpreted as a unitary matrix
# or as a channel.
# If input is a raw numpy array we will interpret it as a unitary matrix.
is_cptp1 = None
is_cptp2 = None
if isinstance(channel1, (list, np.ndarray)):
channel1 = Operator(channel1)
if require_cptp:
is_cptp1 = channel1.is_unitary()
if isinstance(channel2, (list, np.ndarray)):
channel2 = Operator(channel2)
if require_cptp:
is_cptp2 = channel2.is_unitary()
# Next we convert inputs SuperOp objects
# This works for objects that also have a `to_operator` or `to_channel` method
s1 = SuperOp(channel1)
s2 = SuperOp(channel2)
# Check inputs are CPTP
if require_cptp:
# Only check SuperOp if we didn't already check unitary inputs
if is_cptp1 is None:
is_cptp1 = s1.is_cptp()
if not is_cptp1:
raise QiskitError('channel1 is not CPTP')
if is_cptp2 is None:
is_cptp2 = s2.is_cptp()
if not is_cptp2:
raise QiskitError('channel2 is not CPTP')
# Check dimensions match
input_dim1, output_dim1 = s1.dim
input_dim2, output_dim2 = s2.dim
if input_dim1 != output_dim1 or input_dim2 != output_dim2:
raise QiskitError('Input channels must have same size input and output dimensions.')
if input_dim1 != input_dim2:
raise QiskitError('Input channels have different dimensions.')
# Compute process fidelity
fidelity = np.trace(s1.compose(s2.adjoint()).data) / (input_dim1 ** 2)
return fidelity