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src/qibocal/protocols/randomized_benchmarking/2qubitCliffs.json
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src/qibocal/protocols/randomized_benchmarking/circuit_tools.py
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src/qibocal/protocols/randomized_benchmarking/dict_utils.py
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import json | ||
import pathlib | ||
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import numpy as np | ||
from qibo import gates | ||
from qibo.models import Circuit | ||
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SINGLE_QUBIT_CLIFFORDS_NAMES = { | ||
# Virtual gates | ||
"": gates.I, | ||
"minusX,minusY": lambda q: gates.U3(q, 0, np.pi / 2, np.pi / 2), # Z | ||
"sqrtX,sqrtMinusY,sqrtMinusX": lambda q: gates.U3( | ||
q, 0, -np.pi / 2, 0 | ||
), # gates.RZ(q, np.pi / 2) | ||
"sqrtX,sqrtY,sqrtMinusX": lambda q: gates.U3( | ||
q, 0, np.pi / 2, 0 | ||
), # gates.RZ(q, -np.pi / 2) | ||
# pi rotations | ||
"minusX": lambda q: gates.U3(q, np.pi, -np.pi, 0), # X | ||
"minusY": lambda q: gates.U3(q, np.pi, 0, 0), # Y | ||
# pi/2 rotations | ||
"sqrtX": lambda q: gates.U3(q, np.pi / 2, -np.pi / 2, np.pi / 2), # Rx(pi/2) | ||
"sqrtMinusX": lambda q: gates.U3(q, -np.pi / 2, -np.pi / 2, np.pi / 2), # Rx(-pi/2) | ||
"sqrtY": lambda q: gates.U3(q, np.pi / 2, 0, 0), # Ry(pi/2) | ||
"sqrtMinusY": lambda q: gates.U3(q, -np.pi / 2, 0, 0), # Ry(-pi/2) | ||
# 2pi/3 rotations | ||
"sqrtX,sqrtY": lambda q: gates.U3(q, np.pi / 2, -np.pi / 2, 0), # Rx(pi/2)Ry(pi/2) | ||
"sqrtX,sqrtMinusY": lambda q: gates.U3( | ||
q, np.pi / 2, -np.pi / 2, np.pi | ||
), # Rx(pi/2)Ry(-pi/2) | ||
"sqrtMinusX,sqrtY": lambda q: gates.U3( | ||
q, np.pi / 2, np.pi / 2, 0 | ||
), # Rx(-pi/2)Ry(pi/2) | ||
"sqrtMinusX,sqrtMinusY": lambda q: gates.U3( | ||
q, np.pi / 2, np.pi / 2, -np.pi | ||
), # Rx(-pi/2)Ry(-pi/2) | ||
"sqrtY,sqrtX": lambda q: gates.U3(q, np.pi / 2, 0, np.pi / 2), # Ry(pi/2)Rx(pi/2) | ||
"sqrtY,sqrtMinusX": lambda q: gates.U3( | ||
q, np.pi / 2, 0, -np.pi / 2 | ||
), # Ry(pi/2)Rx(-pi/2) | ||
"sqrtMinusY,sqrtX": lambda q: gates.U3( | ||
q, np.pi / 2, -np.pi, np.pi / 2 | ||
), # Ry(-pi/2)Rx(pi/2) | ||
"sqrtMinusY,sqrtMinusX": lambda q: gates.U3( | ||
q, np.pi / 2, np.pi, -np.pi / 2 | ||
), # Ry(-pi/2)Rx(-pi/2) | ||
# Hadamard-like | ||
"minusX,sqrtY": lambda q: gates.U3(q, np.pi / 2, -np.pi, 0), # X Ry(pi/2) | ||
"minusX,sqrtMinusY": lambda q: gates.U3(q, np.pi / 2, 0, np.pi), # X Ry(-pi/2) | ||
"minusY,sqrtX": lambda q: gates.U3( | ||
q, np.pi / 2, np.pi / 2, np.pi / 2 | ||
), # Y Rx(pi/2) | ||
"minusY,sqrtMinusX": lambda q: gates.U3( | ||
q, np.pi / 2, -np.pi / 2, -np.pi / 2 | ||
), # Y Rx(-pi/2) | ||
"sqrtX,sqrtY,sqrtX": lambda q: gates.U3( | ||
q, np.pi, -np.pi / 4, np.pi / 4 | ||
), # Rx(pi/2)Ry(pi/2)Rx(pi/2) | ||
"sqrtX,sqrtMinusY,sqrtX": lambda q: gates.U3( | ||
q, np.pi, np.pi / 4, -np.pi / 4 | ||
), # Rx(-pi/2)Ry(pi/2)Rx(-pi/2) | ||
} | ||
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# TODO: Expand when more entangling gates are calibrated | ||
def find_cliffords(cz_list): | ||
"""Splits a clifford (list of gates) into sublists based on the occurrence of the "CZ" gate.""" | ||
clifford_list = [] | ||
clifford = [] | ||
for gate in cz_list: | ||
if gate == "CZ": | ||
clifford.append(gate) | ||
clifford_list.append(clifford) | ||
clifford = [] | ||
continue | ||
clifford.append(gate) | ||
clifford_list.append(clifford) | ||
return clifford_list | ||
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def separator(clifford): | ||
""" | ||
Separates values in the given clifford sublist based on certain conditions. | ||
Returns: | ||
tuple: A tuple containing three elements: | ||
- values_with_1 (str): A comma-separated string of values containing '1'. | ||
- values_with_2 (str): A comma-separated string of values containing '2'. | ||
- value_with_CZ (bool): True if 'CZ' is present in the clifford list, False otherwise. | ||
""" | ||
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# Separate values containing 1 | ||
values_with_1 = [value for value in clifford if "1" in value] | ||
values_with_1 = ",".join(values_with_1) | ||
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# Separate values containing 2 | ||
values_with_2 = [value for value in clifford if "2" in value] | ||
values_with_2 = ",".join(values_with_2) | ||
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# Check if CZ | ||
value_with_CZ = [value for value in clifford if "CZ" in value] | ||
value_with_CZ = len(value_with_CZ) == 1 # FIXME: What is this ? | ||
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values_with_1 = values_with_1.replace("1", "") | ||
values_with_2 = values_with_2.replace("2", "") | ||
return values_with_1, values_with_2, value_with_CZ | ||
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def clifford2gates(clifford): | ||
""" | ||
Converts a Clifford string into a list of gates. | ||
Args: | ||
clifford (str): A comma-separated string representing a sequence of gates that represent a Clifford gate. | ||
""" | ||
gate_list = clifford.split(",") | ||
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clifford_list = find_cliffords(gate_list) | ||
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clifford_gate = [] | ||
for clifford in clifford_list: | ||
values_with_1, values_with_2, value_with_CZ = separator(clifford) | ||
clifford_gate.append(SINGLE_QUBIT_CLIFFORDS_NAMES[values_with_1](0)) | ||
clifford_gate.append(SINGLE_QUBIT_CLIFFORDS_NAMES[values_with_2](1)) | ||
if value_with_CZ: | ||
clifford_gate.append(gates.CZ(0, 1)) | ||
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return clifford_gate | ||
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def clifford_to_matrix(clifford): | ||
""" | ||
Converts a Clifford gate as a string to its corresponding unitary matrix representation. | ||
""" | ||
clifford_gate = clifford2gates(clifford) | ||
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qubits_str = ["q0", "q1"] | ||
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new_circuit = Circuit(2, wire_names=qubits_str) | ||
for gate in clifford_gate: | ||
new_circuit.add(gate) | ||
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unitary = new_circuit.unitary() | ||
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return unitary | ||
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def generate_inv_dict_cliffords_file(two_qubit_cliffords, output_file=None): | ||
""" | ||
Generate an inverse dictionary of Clifford matrices and save it to a npz file. | ||
Parameters: | ||
two_qubit_cliffords (dict): A dictionary of two-qubit Cliffords. | ||
output_file (str): The path to the output npz file. | ||
""" | ||
clifford_matrices = {} | ||
for i, clifford in enumerate(two_qubit_cliffords.values()): | ||
clifford = two_qubit_cliffords[str(i)] | ||
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unitary = clifford_to_matrix(clifford) | ||
unitary = unitary.round(3) | ||
unitary += 0.0 + 0.0j | ||
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clifford_matrices[i] = unitary | ||
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clifford_matrices_inv_np = {} | ||
# Convert the arrays to strings and store them as keys in the new dictionary | ||
for key, value in clifford_matrices.items(): | ||
key_str = np.array2string(value, separator=",") | ||
clifford_matrices_inv_np[key_str] = key | ||
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if output_file is not None: | ||
np.savez(output_file, **clifford_matrices_inv_np) | ||
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return clifford_matrices_inv_np | ||
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def clifford_to_pulses(clifford): | ||
""" | ||
From a Clifford gate sequence into the number of pulses required to implement it. | ||
Args: | ||
clifford (str): A comma-separated string representing the Clifford gate sequence. | ||
Returns: | ||
int: The number of pulses required to implement the given Clifford gate sequence. | ||
""" | ||
gate_list = clifford.split(",") | ||
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clifford_list = find_cliffords(gate_list) | ||
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pulses = 0 | ||
for clifford in clifford_list: | ||
values_with_1, values_with_2, value_with_CZ = separator(clifford) | ||
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if SINGLE_QUBIT_CLIFFORDS_NAMES[values_with_1](0).name != "id": | ||
pulses += 2 # This assumes a U3 transpiled into 2 pulses | ||
if SINGLE_QUBIT_CLIFFORDS_NAMES[values_with_2](1).name != "id": | ||
pulses += 2 # This assumes a U3 transpiled into 2 pulses | ||
if value_with_CZ: | ||
pulses += 1 # This assumes a CZ without parking so 1 pulse | ||
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return pulses | ||
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def calculate_pulses_clifford(cliffords): | ||
""" | ||
Calculate the average number of pulses per Clifford operation. | ||
Parameters: | ||
- cliffords (dict): A dictionary of Clifford operations. | ||
Returns: | ||
- pulses_per_clifford (float): The average number of pulses per Clifford operation. | ||
""" | ||
pulses = 0 | ||
for i, clifford in enumerate(cliffords.values()): | ||
clifford = cliffords[str(i)] | ||
pulses += clifford_to_pulses(clifford) | ||
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pulses_per_clifford = pulses / len(cliffords) | ||
return pulses_per_clifford | ||
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def load_inverse_cliffords(file_inv): | ||
path = pathlib.Path(__file__).parent / file_inv | ||
clifford_matrices_inv = np.load(path) | ||
return clifford_matrices_inv | ||
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def load_cliffords(file_cliffords): | ||
path = pathlib.Path(__file__).parent / file_cliffords | ||
with open(path) as file: | ||
two_qubit_cliffords = json.load(file) | ||
return two_qubit_cliffords |
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