def generate_2QB_Cliffords(_index, **kwargs):
seq_QB1 = []
seq_QB2 = []
seq_Cplr = []
generator = kwargs.get('generator', 'CZ')
sequence_rb.add_twoQ_clifford(_index,
seq_QB1,
seq_QB2,
gate_seq_Cplr=seq_Cplr,
generator=generator)
m2QBClifford = np.identity(4, dtype=complex)
for i in range(len(seq_QB1)):
_mGate = np.matrix([1])
# 2QB Gates
if (generator == 'CZ'):
if (seq_QB1[i] == gates.CZ
or seq_QB2[i] == gates.CZ): # two qubit gates
# print('2QB Gate: CZ')
_mGate = np.kron(dict_m2QBGate['CZ'], _mGate)
m2QBClifford = mul(_mGate, m2QBClifford)
continue
elif (generator == 'iSWAP_Cplr'):
if (seq_Cplr[i] == gates.iSWAP_Cplr):
# print('2QB Gate: iSWAP_Cplr')
_mGate = np.kron(dict_m2QBGate['iSWAP'], _mGate)
m2QBClifford = mul(_mGate, m2QBClifford)
continue
# 1QB gates
# print('1QB Gate:')
for g in [seq_QB2[i], seq_QB1[i]]:
if (g == gates.I):
_mGate = np.kron(dict_m1QBGate['I'], _mGate)
elif (g == gates.Xp):
_mGate = np.kron(dict_m1QBGate['Xp'], _mGate)
elif (g == gates.Xm):
_mGate = np.kron(dict_m1QBGate['Xm'], _mGate)
elif (g == gates.X2p):
_mGate = np.kron(dict_m1QBGate['X2p'], _mGate)
elif (g == gates.X2m):
_mGate = np.kron(dict_m1QBGate['X2m'], _mGate)
elif (g == gates.Yp):
_mGate = np.kron(dict_m1QBGate['Yp'], _mGate)
elif (g == gates.Ym):
_mGate = np.kron(dict_m1QBGate['Ym'], _mGate)
elif (g == gates.Y2p):
_mGate = np.kron(dict_m1QBGate['Y2p'], _mGate)
elif (g == gates.Y2m):
_mGate = np.kron(dict_m1QBGate['Y2m'], _mGate)
elif (g == gates.Zp):
_mGate = np.kron(dict_m1QBGate['Zp'], _mGate)
elif (g == gates.Zm):
_mGate = np.kron(dict_m1QBGate['Zm'], _mGate)
elif (g == gates.Z2p):
_mGate = np.kron(dict_m1QBGate['Z2p'], _mGate)
elif (g == gates.Z2m):
_mGate = np.kron(dict_m1QBGate['Z2m'], _mGate)
m2QBClifford = mul(_mGate, m2QBClifford)
return (m2QBClifford)
def generate_2QB_Cliffords(_index, **kwargs):
seq_QB1 = []
seq_QB2 = []
seq_Aux = []
generator = kwargs.get('generator', 'CZ')
sequence_rb.add_twoQ_clifford(_index, seq_QB1, seq_QB2, gate_seq_aux = seq_Aux, generator = generator)
m2QBClifford = np.identity(4, dtype = complex)
for i in range(len(seq_QB1)):
# print(Gate_to_strGate(seq_QB1[i]), Gate_to_strGate(seq_QB2[i]), Gate_to_strGate(seq_Aux[i]))
_mGate = np.matrix([1])
if generator == 'CZ':
if (seq_QB1[i] == gates.CZ or seq_QB2[i] == gates.CZ ): # two qubit gates
_mGate = np.kron(dict_m2QBGate['CZ'], _mGate)
m2QBClifford = mul(_mGate, m2QBClifford)
continue
elif generator == 'CR_CNOT':
if seq_Aux[i] == gates.CR:
_mGate = np.kron(dict_m2QBGate['CR_CNOT'], _mGate)
m2QBClifford = mul(_mGate, m2QBClifford)
continue
# else: # 1QB gates
for g in [seq_QB2[i], seq_QB1[i]]:
if (g == gates.I):
_mGate = np.kron(dict_m1QBGate['I'], _mGate)
elif (g == gates.Xp):
_mGate = np.kron(dict_m1QBGate['Xp'], _mGate)
elif (g == gates.Xm):
_mGate = np.kron(dict_m1QBGate['Xm'], _mGate)
elif (g == gates.X2p):
_mGate = np.kron(dict_m1QBGate['X2p'], _mGate)
elif (g == gates.X2m):
_mGate = np.kron(dict_m1QBGate['X2m'], _mGate)
elif (g == gates.Yp):
_mGate = np.kron(dict_m1QBGate['Yp'], _mGate)
elif (g == gates.Ym):
_mGate = np.kron(dict_m1QBGate['Ym'], _mGate)
elif (g == gates.Y2p):
_mGate = np.kron(dict_m1QBGate['Y2p'], _mGate)
elif (g == gates.Y2m):
_mGate = np.kron(dict_m1QBGate['Y2m'], _mGate)
elif (g == gates.Zp):
_mGate = np.kron(dict_m1QBGate['Zp'], _mGate)
elif (g == gates.VZp):
_mGate = np.kron(dict_m1QBGate['VZp'], _mGate)
elif (g == gates.Zm):
_mGate = np.kron(dict_m1QBGate['Zm'], _mGate)
elif (g == gates.Z2p):
_mGate = np.kron(dict_m1QBGate['Z2p'], _mGate)
elif (g == gates.Z2m):
_mGate = np.kron(dict_m1QBGate['Z2m'], _mGate)
m2QBClifford = mul(_mGate, m2QBClifford)
return (m2QBClifford)
def generate_2QB_Cliffords(_index):
seq_QB1 = []
seq_QB2 = []
sequence_rb.add_twoQ_clifford(_index, seq_QB1, seq_QB2)
m2QBClifford = np.identity(4, dtype=complex)
for i in range(len(seq_QB1)):
_mGate = np.matrix([1])
if (seq_QB1[i] == gates.CZ
or seq_QB2[i] == gates.CZ): # two qubit gates
_mGate = np.kron(dict_m2QBGate['CZ'], _mGate)
else: # 1QB gates
for g in [seq_QB2[i], seq_QB1[i]]:
if (g == gates.I):
_mGate = np.kron(dict_m1QBGate['I'], _mGate)
elif (g == gates.Xp):
_mGate = np.kron(dict_m1QBGate['Xp'], _mGate)
elif (g == gates.Xm):
_mGate = np.kron(dict_m1QBGate['Xm'], _mGate)
elif (g == gates.X2p):
_mGate = np.kron(dict_m1QBGate['X2p'], _mGate)
elif (g == gates.X2m):
_mGate = np.kron(dict_m1QBGate['X2m'], _mGate)
elif (g == gates.Yp):
_mGate = np.kron(dict_m1QBGate['Yp'], _mGate)
elif (g == gates.Ym):
_mGate = np.kron(dict_m1QBGate['Ym'], _mGate)
elif (g == gates.Y2p):
_mGate = np.kron(dict_m1QBGate['Y2p'], _mGate)
elif (g == gates.Y2m):
_mGate = np.kron(dict_m1QBGate['Y2m'], _mGate)
elif (g == gates.Zp):
_mGate = np.kron(dict_m1QBGate['Zp'], _mGate)
elif (g == gates.Zm):
_mGate = np.kron(dict_m1QBGate['Zm'], _mGate)
elif (g == gates.Z2p):
_mGate = np.kron(dict_m1QBGate['Z2p'], _mGate)
elif (g == gates.Z2m):
_mGate = np.kron(dict_m1QBGate['Z2m'], _mGate)
m2QBClifford = mul(_mGate, m2QBClifford)
return (m2QBClifford)
and N_I_gate >= max_N_I_gate):
min_N_2QB_gate, min_N_1QB_gate, max_N_I_gate, cheapest_index = (
N_2QB_gate, N_1QB_gate, N_I_gate, j)
print(
'the cheapest sequence update! [N_2QB_gate, N_1QB_gate, N_I_gate, seq. index] '
+ str([
min_N_2QB_gate, min_N_1QB_gate,
max_N_I_gate, cheapest_index
]))
seq_recovery_QB1 = []
seq_recovery_QB2 = []
seq_recovery_Cplr = []
sequence_rb.add_twoQ_clifford(cheapest_index,
seq_recovery_QB1,
seq_recovery_QB2,
gate_seq_Cplr=seq_recovery_Cplr,
generator=generator)
# remove redundant Identity gates
index_identity = [] # find where Identity gates are
for p in range(len(seq_recovery_QB1)):
if generator == 'CZ':
if (seq_recovery_QB1[p] == gates.I
and seq_recovery_QB2[p] == gates.I):
index_identity.append(p)
elif generator == 'iSWAP_Cplr':
if (seq_recovery_QB1[p] == gates.I
and seq_recovery_QB2[p] == gates.I
and seq_recovery_Cplr[p] == gates.I):
index_identity.append(p)
# if it has equal # of 2QB & 1QB gates, and more 1QB gates, update it.
if (N_2QB_gate == min_N_2QB_gate
and N_1QB_gate == min_N_1QB_gate
and N_I_gate >= max_N_I_gate):
min_N_2QB_gate, min_N_1QB_gate, max_N_I_gate, cheapest_index = (
N_2QB_gate, N_1QB_gate, N_I_gate, j)
print(
'the cheapest sequence update! [N_2QB_gate, N_1QB_gate, N_I_gate, seq. index] '
+ str([
min_N_2QB_gate, min_N_1QB_gate,
max_N_I_gate, cheapest_index
]))
seq_recovery_QB1 = []
seq_recovery_QB2 = []
sequence_rb.add_twoQ_clifford(cheapest_index, seq_recovery_QB1,
seq_recovery_QB2)
# remove redundant Identity gates
index_identity = [] # find where Identity gates are
for p in range(len(seq_recovery_QB1)):
if (seq_recovery_QB1[p] == gates.I
and seq_recovery_QB2[p] == gates.I):
index_identity.append(p)
seq_recovery_QB1 = [
m for n, m in enumerate(seq_recovery_QB1)
if n not in index_identity
]
seq_recovery_QB2 = [
m for n, m in enumerate(seq_recovery_QB2)
if n not in index_identity
]
# find the cheapest recovery clifford gates.
print('stabilizer state: '+ str(stabilizer))
print('Before recovery, final_psi_00: ' + str(final_psi_00.flatten()))
print('find the cheapest recovery clifford gate')
min_N_2QB_gate = np.inf
min_N_1QB_gate = np.inf
max_N_I_gate = -np.inf
cheapest_index = None
for j in range(N_2QBcliffords):
recovery_gate = generate_2QB_Cliffords(j, generator = generator)
seq_QB1 = []
seq_QB2 = []
seq_Aux = []
sequence_rb.add_twoQ_clifford(j, seq_QB1, seq_QB2, gate_seq_aux = seq_Aux, generator = generator)
if ((np.abs(1-np.abs(dot(recovery_gate, final_psi_00)[0,0])) < 1e-6) and
(np.abs(1-np.abs(dot(recovery_gate, final_psi_01)[1,0])) < 1e-6) and
(np.abs(1-np.abs(dot(recovery_gate, final_psi_10)[2,0])) < 1e-6) and
(np.abs(1-np.abs(dot(recovery_gate, final_psi_11)[3,0])) < 1e-6) and
(np.abs(1-dot(recovery_gate, final_psi_01)[1,0]/dot(recovery_gate, final_psi_00)[0,0]) < 1e-6) and
(np.abs(1-dot(recovery_gate, final_psi_10)[2,0]/dot(recovery_gate, final_psi_00)[0,0]) < 1e-6) and
(np.abs(1-dot(recovery_gate, final_psi_11)[3,0]/dot(recovery_gate, final_psi_00)[0,0]) < 1e-6)
):
print(dot(recovery_gate, final_psi_00)[0,0],dot(recovery_gate, final_psi_01)[1,0],dot(recovery_gate, final_psi_10)[2,0],dot(recovery_gate, final_psi_11)[3,0])
# if the gate is recovery, check if it is the cheapest.
# Less 2QB Gates, Less 1QB Gates, and More I Gates = the cheapest gates.
# The priority: less 2QB gates > less 1QB gates > more I gates
N_2QB_gate, N_1QB_gate, N_I_gate = 0, 0, 0