Source code for qilisdk.noise.pauli_channel
# Copyright 2025 Qilimanjaro Quantum Tech
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from __future__ import annotations
import numpy as np
from qilisdk.core import QTensor
from .noise import Noise
from .protocols import AttachmentScope, HasAllowedScopes, SupportsStaticKraus, SupportsTimeDerivedLindblad
from .representations import KrausChannel, LindbladGenerator
from .utils import _check_probability, _identity, _sigma_x, _sigma_y, _sigma_z
[docs]
class PauliChannel(Noise, SupportsStaticKraus, SupportsTimeDerivedLindblad, HasAllowedScopes):
"""General single-qubit Pauli channel.
Channel:
E(rho) = pI * rho + pX * X rho X + pY * Y rho Y + pZ * Z rho Z
where pI = 1 - (pX + pY + pZ).
"""
def __init__(self, *, pX: float = 0.0, pY: float = 0.0, pZ: float = 0.0) -> None:
"""Args:
pX (float): Probability of X error.
pY (float): Probability of Y error.
pZ (float): Probability of Z error.
Raises:
ValueError: If any probability is outside [0, 1] or pX + pY + pZ > 1.
"""
self._pX = _check_probability(pX, "pX")
self._pY = _check_probability(pY, "pY")
self._pZ = _check_probability(pZ, "pZ")
if self._pX + self._pY + self._pZ > 1.0 + 1e-12:
raise ValueError("pX + pY + pZ must be <= 1.")
@property
[docs]
def pX(self) -> float:
"""Return the probability of an X error.
Returns:
float: Probability for the X Pauli error.
"""
return self._pX
@property
[docs]
def pY(self) -> float:
"""Return the probability of a Y error.
Returns:
float: Probability for the Y Pauli error.
"""
return self._pY
@property
[docs]
def pZ(self) -> float:
"""Return the probability of a Z error.
Returns:
float: Probability for the Z Pauli error.
"""
return self._pZ
[docs]
def as_kraus(self) -> KrausChannel:
pI = max(0.0, 1.0 - (self._pX + self._pY + self._pZ))
operators = []
if pI > 0:
operators.append(np.sqrt(pI) * _identity())
if self._pX > 0:
operators.append(np.sqrt(self._pX) * _sigma_x())
if self._pY > 0:
operators.append(np.sqrt(self._pY) * _sigma_y())
if self._pZ > 0:
operators.append(np.sqrt(self._pZ) * _sigma_z())
return KrausChannel([QTensor(operator) for operator in operators])
[docs]
def as_lindblad_from_duration(self, *, duration: float) -> LindbladGenerator:
if duration <= 0:
raise ValueError("Duration must be positive.")
rates = []
operators = []
if self._pX > 0:
rates.append(self._pX / duration)
operators.append(QTensor(_sigma_x()))
if self._pY > 0:
rates.append(self._pY / duration)
operators.append(QTensor(_sigma_y()))
if self._pZ > 0:
rates.append(self._pZ / duration)
operators.append(QTensor(_sigma_z()))
return LindbladGenerator(operators, rates)
@classmethod
[docs]
def allowed_scopes(cls) -> frozenset[AttachmentScope]:
return frozenset(
{
AttachmentScope.GLOBAL,
AttachmentScope.PER_QUBIT,
AttachmentScope.PER_GATE_TYPE,
AttachmentScope.PER_GATE_TYPE_PER_QUBIT,
}
)
def __repr__(self) -> str:
return f"{type(self).__qualname__}(pX={self._pX}, pY={self._pY}, pZ={self._pZ})"