def epc_analytical(U_dict: dict, index, dims, proj: bool):
# TODO make this work with new index and dims
gate = list(U_dict.keys())[0]
U = U_dict[gate]
num_gates = len(gate.split(':'))
lvls = int(U.shape[0] ** (1/num_gates))
fid_lvls = lvls
if num_gates == 1:
real_cliffords = evaluate_sequences(U_dict, cliffords_decomp)
elif num_gates == 2:
real_cliffords = evaluate_sequences(U_dict, cliffords_decomp_xId)
projection = 'fulluni'
if proj:
projection = 'wzeros'
fid_lvls = 2 ** num_gates
ideal_cliffords = perfect_cliffords(
lvls,
proj=projection,
num_gates=num_gates
)
fids = []
for C_indx in range(24):
C_real = real_cliffords[C_indx]
C_ideal = ideal_cliffords[C_indx]
ave_fid = tf_average_fidelity(C_real, C_ideal, fid_lvls)
fids.append(ave_fid)
infid = 1 - tf_ave(fids)
return infid
def average_infid(
U_dict: dict, gate: str, index, dims, proj=True
):
"""
Average fidelity uses the Pauli basis to compare. Thus, perfect gates are
always 2x2 (per qubit) and the actual unitary needs to be projected down.
Parameters
----------
U_dict : dict
Contains unitary representations of the gates, identified by a key.
index : int
Index of the qubit(s) in the Hilbert space to be evaluated
dims : list
List of dimensions of qubits
proj : boolean
Project to computational subspace
"""
U = U_dict[gate]
U_ideal = tf.constant(
perfect_gate(gate, index, dims=[2]*len(dims)),
dtype=tf.complex128
)
infid = 1 - tf_average_fidelity(U, U_ideal, lvls=dims)
return infid
def average_infid_simult(U_dict: dict, gate: str, index, dims, proj=True):
"""
Average fidelity uses the Pauli basis to compare. Thus, perfect gates are
always 2x2 (per qubit) and the actual unitary needs to be projected down.
Variant for simultaneous single qubit gates.
Parameters
----------
U_dict : dict
Contains unitary representations of the gates, identified by a key.
index : int
Index of the qubit(s) in the Hilbert space to be evaluated
dims : list
List of dimensions of qubits
proj : boolean
Project to computational subspace
"""
proj = projector(dims, index)
U = proj @ U_dict[gate] @ proj.T
gate_split = gate.split(":")
two_qubit_gate = ":".join([gate_split[index[0]], gate_split[index[1]]])
subspace_dims = [dims[index[0]], dims[index[1]]]
U_ideal = tf.constant(
perfect_gate(two_qubit_gate, index=[0, 1], dims=[2, 2]))
infid = 1 - tf_average_fidelity(U, U_ideal, lvls=subspace_dims)
return infid
def epc_analytical(U_dict: dict, index, dims, proj: bool, cliffords=False):
# TODO check this work with new index and dims (double-check)
num_gates = len(dims)
if cliffords:
real_cliffords = evaluate_sequences(U_dict,
[[C] for C in cliffords_string])
elif num_gates == 1:
real_cliffords = evaluate_sequences(U_dict, cliffords_decomp)
elif num_gates == 2:
real_cliffords = evaluate_sequences(U_dict, cliffords_decomp_xId)
ideal_cliffords = perfect_cliffords(lvls=[2] * num_gates,
num_gates=num_gates)
fids = []
for C_indx in range(24):
C_real = real_cliffords[C_indx]
C_ideal = tf.constant(ideal_cliffords[C_indx], dtype=tf.complex128)
ave_fid = tf_average_fidelity(C_real, C_ideal, lvls=dims)
fids.append(ave_fid)
infid = 1 - tf_ave(fids)
return infid
def average_infid_CZ(U_dict: dict, index, dims, eval, proj=True):
"""
Average fidelity uses the Pauli basis to compare. Thus, perfect gates are
always 2x2 (per qubit) and the actual unitary needs to be projected down.
Variant for two-qubit gates.
Parameters
----------
U_dict : dict
Contains unitary representations of the gates, identified by a key.
index : int
Index of the qubit(s) in the Hilbert space to be evaluated
dims : list
List of dimensions of qubits
proj : boolean
Project to computational subspace
"""
proj = projector(dims, index)
U = proj @ U_dict["Id:CRZp"] @ proj.T
subspace_dims = [dims[index[0]], dims[index[1]]]
U_ideal = tf.constant(perfect_gate("CRZp", index=[0, 1], dims=[2, 2]))
infid = 1 - tf_average_fidelity(U, U_ideal, lvls=subspace_dims)
return infid
def average_infid(ideal: np.ndarray,
actual: tf.Tensor,
index: List[int] = [0],
dims=[2]) -> tf.constant:
"""
Average fidelity uses the Pauli basis to compare. Thus, perfect gates are
always 2x2 (per qubit) and the actual unitary needs to be projected down.
Parameters
----------
ideal: np.ndarray
Contains ideal unitary representations of the gate
actual: tf.Tensor
Contains actual unitary representations of the gate
index : List[int]
Index of the qubit(s) in the Hilbert space to be evaluated
dims : list
List of dimensions of qubits
"""
actual_comp = tf_project_to_comp(actual, dims=dims, index=index)
fid_lvls = [2] * len(index)
infid = 1 - tf_average_fidelity(actual_comp, ideal, lvls=fid_lvls)
return infid