Source code for loom_steane_code.code_factory.steane_code

"""
Copyright 2024 Entropica Labs Pte Ltd

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.

"""

# pylint: disable=duplicate-code
from __future__ import annotations
from functools import cached_property
from uuid import uuid4
from pydantic.dataclasses import dataclass


from loom.eka import (
    Block,
    Lattice,
    LatticeType,
    PauliOperator,
    Stabilizer,
    SyndromeCircuit,
    Circuit,
    Channel,
)
from loom.eka.utilities import dataclass_config


[docs] @dataclass(config=dataclass_config) class SteaneCode(Block): """ A sub-class of ``Block`` that represents a Steane code block. """
[docs] @classmethod def create( # pylint: disable=too-many-locals cls, lattice: Lattice, unique_label: str = None, position: tuple[int, ...] = (0, 0), skip_validation: bool = False, ) -> SteaneCode: """Create Steane Code Block object. The Steane Code is a [[7, 1, 3]] quantum error-correcting CSS code. There are 6 stabilizers, three of X type and three of Z type all of support size 4. We implement a naive syndrome extraction scheme, where measure all X stabilizers first and all the Z stabilizers later. We choose to embed the code in a 2D square lattice, where the logical operators are defined on the three lowest data qubits. Parameters ---------- lattice : Lattice Lattice on which the block is defined. The qubit indices depend on the type of lattice. unique_label : str, optional Label for the block. It must be unique among all blocks in the initial CRD. If no label is provided, a unique label is generated automatically using the uuid module. position : tuple[int, ...], optional Position of the top left corner of the block on the lattice, by default (0, 0). skip_validation : bool, optional Skip validation of the block object, by default False. Returns ------- Block Block object for the Steane Code. """ # Input validation if lattice.lattice_type != LatticeType.SQUARE_2D: raise ValueError( "The creation of Steane code blocks is " "currently only supported for 2D square lattices. Instead " f"the lattice is of type {lattice.lattice_type}." ) if not isinstance(position, tuple) or any( not isinstance(x, int) for x in position ): raise ValueError( f"`position` must be a tuple of integers. Got '{position}' instead." ) if unique_label is None: unique_label = str(uuid4()) # Define the stabilizers stabilizer_supports = [ [(0, 0, 0), (0, 1, 0), (1, 1, 0), (1, 0, 0)], [(1, 0, 0), (1, 1, 0), (2, 1, 0), (2, 0, 0)], [(2, 1, 0), (1, 2, 0), (0, 1, 0), (1, 1, 0)], ] x_stabilizers = [ Stabilizer(pauli="X" * 4, data_qubits=supp, ancilla_qubits=[(i, 0, 1)]) for i, supp in enumerate(stabilizer_supports) ] z_stabilizers = [ Stabilizer(pauli="Z" * 4, data_qubits=supp, ancilla_qubits=[(0, i + 1, 1)]) for i, supp in enumerate(stabilizer_supports) ] stabilizers = x_stabilizers + z_stabilizers # Define the logical operators logical_data_qubits = [(i, 0, 0) for i in range(3)] logical_x_operator = PauliOperator( pauli="XXX", data_qubits=logical_data_qubits, ) logical_z_operator = PauliOperator( pauli="ZZZ", data_qubits=logical_data_qubits, ) # Define the syndrome extraction circuits x_syndrome_circuits = cls.generate_syndrome_extraction_circuits("XXXX") z_syndrome_circuits = cls.generate_syndrome_extraction_circuits("ZZZZ") syndrome_circuits = [x_syndrome_circuits, z_syndrome_circuits] # Define the stabilizer to circuit mapping stabilizer_to_circuit = { stab.uuid: x_syndrome_circuits.uuid for stab in x_stabilizers } | {stab.uuid: z_syndrome_circuits.uuid for stab in z_stabilizers} block = cls( unique_label=unique_label, stabilizers=stabilizers, logical_x_operators=[logical_x_operator], logical_z_operators=[logical_z_operator], syndrome_circuits=syndrome_circuits, stabilizer_to_circuit=stabilizer_to_circuit, skip_validation=skip_validation, ) if position == (0, 0): return block return block.shift(position)
[docs] @staticmethod def generate_syndrome_extraction_circuits(pauli: str) -> SyndromeCircuit: """ Generate syndrome extraction circuit for a stabilizers from the Steane Code. The prescription followed here is to first measure all stabilizers of a given type simultaneously in four layers (arbitrarily chosen to be entangling in the data qubits with the ancilla in a clockwise order). We choose X stabilizers to be measured first, thus we need to add four idling steps at the end, and four at the beginning for the Z stabilizers. The ancilla is then measured and reset. Parameters ---------- pauli: str Pauli operator for which the syndrome extraction circuit is generated. Returns ------- SyndromeCircuit Syndrome extraction circuit for the given Pauli operator. """ # Extract parameters name = f"{pauli}_syndrome_extraction" pauli_type = pauli[0] # Define channels data_channels = [Channel(type="quantum", label=f"d{i}") for i in range(4)] cbit_channel = Channel(type="classical", label="c0") ancilla_channel = Channel(type="quantum", label="a0") # Define Hadamard gates hadamard1 = tuple([Circuit("H", channels=[ancilla_channel])]) hadamard2 = tuple([Circuit("H", channels=[ancilla_channel])]) # Entangling layer entangle_ancilla = [ [Circuit(f"C{p}", channels=[ancilla_channel, data_channels[i]])] for i, p in enumerate(pauli) ] # Add idling step if pauli_type == "Z": entangle_ancilla = [(), (), (), ()] + entangle_ancilla else: entangle_ancilla += [(), (), (), ()] # Add ancilla measurement and reset measurement = tuple( [Circuit("Measurement", channels=[ancilla_channel, cbit_channel])] ) reset = tuple([Circuit("Reset_0", channels=[ancilla_channel])]) # Compose circuit operations as a list circuit_list = [reset, hadamard1] + entangle_ancilla + [hadamard2, measurement] # Return the syndrome extraction circuit return SyndromeCircuit( pauli=pauli, name=name, circuit=Circuit( name=name, circuit=circuit_list, channels=data_channels + [ancilla_channel, cbit_channel], ), )
# Instance methods def __eq__(self, other: SteaneCode) -> bool: if not isinstance(other, SteaneCode): raise NotImplementedError(f"Cannot compare SteaneCode with {type(other)}") return super().__eq__(other)
[docs] def shift( self, position: tuple[int, ...], new_label: str | None = None ) -> SteaneCode: return super().shift(position, new_label)
[docs] def rename(self, name: str) -> SteaneCode: return super().rename(name)
@cached_property def stabilizers_labels(self) -> dict[str, dict[str, tuple[int, ...]]]: return super().stabilizers_labels