def __init__(self, paths: PhotonicPaths, state: QubitWaveFunction = None):
"""
:param paths: A dictionary containing all photonic paths, where each path contains dictionaries with modes
:param qubit_state: A State in qubit representation -> A dictionary with integers (BitStrings) as keys
"""
self._paths = paths
self._state = state
if state is None:
self._state = QubitWaveFunction()
def test_notation(silent=True):
qpm = 2
S = 2
# State |-201>_(abc) represented with 2 qubits per mode
# in Qubits
# |01 00 00 00 00 | 00 00 01 00 00 | 00 00 00 01 00 >
test1 = BitString.from_binary(binary='010000000000000100000000000100')
paths = PhotonicPaths(path_names=['a', 'b', 'c'], S=S, qpm=qpm)
wfn1 = QubitWaveFunction.from_int(i=test1)
test1x = PhotonicStateVector(paths=paths, state=wfn1)
test1y = PhotonicStateVector.from_string(
paths=paths, string='1.0|10000>_a|00100>_b|00010>_c')
if not silent:
print("got = ", test1x)
print("expected = ", test1y)
assert (test1x == test1y)
# Do a 332 State:
# Photonic notation: (one photon in each mode and I added -2 and +2 modes)
# |1-11>_a+|000>_b+|-111>_c
# Qudit Notation: With modes -2 ... 2
# | 0 0 0 1 0 >_a | 0 1 0 0 0 >_b | 0 0 0 1 0 >_c
# + | 0 0 1 0 0 >_a | 0 0 1 0 0 >_b | 0 0 1 0 0 >_c
# + | 0 1 0 0 0 >_a | 0 0 0 1 0 >_b | 0 0 0 1 0 >_c
# Qubit notation: (using 2 qubits for each mode)
# | 00 00 00 01 00 >_a | 00 01 00 00 00 >_b | 00 00 00 01 00 >_c
# + | 00 00 01 00 00 >_a | 00 00 01 00 00 >_b | 00 00 01 00 00 >_c
# + | 00 01 00 00 00 >_a | 00 00 00 01 00 >_b | 00 00 00 01 00 >_c
string = '1.0|00010>_a|01000>b|00010>_c+1.0|00100>_a|00100>_b|00100>_c+1.0|01000>_a|00010>_b|00010>_c'
test_332x = PhotonicStateVector.from_string(paths=paths, string=string)
q1 = BitString.from_binary('000000010000010000000000000100')
q2 = BitString.from_binary('000001000000000100000000010000')
q3 = BitString.from_binary('000100000000000001000000000100')
wfn = QubitWaveFunction()
for q in [q1, q2, q3]:
wfn += QubitWaveFunction.from_int(i=q)
test_332y = PhotonicStateVector(paths=paths, state=wfn)
if not silent:
print("got = ", test_332y)
print("expected = ", test_332x)
assert (test_332x == test_332y)