Source code for pennylane.templates.swapnetworks.ccl2

# Copyright 2018-2021 Xanadu Quantum Technologies Inc.

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r"""
Contains the TwoLocalSwapNetwork template.
"""

import warnings

import numpy as np

import pennylane as qml
from pennylane.operation import AnyWires, Operation
from pennylane.ops import SWAP, FermionicSWAP


[docs]class TwoLocalSwapNetwork(Operation): r"""Apply two-local gate operations using a canonical 2-complete linear (2-CCL) swap network. Args: wires (Iterable or Wires): ordered sequence of wires on which the swap network acts acquaintances (Callable): callable `func(index, wires, param=None, **kwargs)` that returns a two-local operation applied on a pair of logical wires specified by `index` currently stored in physical wires provided by `wires` before they are swapped apart. Parameters for the operation are specified using `param`, and any additional keyword arguments for the callable should be provided using the ``kwargs`` separately weights (tensor): weight tensor for the parametrized acquaintances of length :math:`N \times (N - 1) / 2`, where `N` is the length of `wires` fermionic (bool): If ``True``, qubits are realized as fermionic modes and :class:`~.pennylane.FermionicSWAP` with :math:`\phi=\pi` is used instead of :class:`~.pennylane.SWAP` shift (bool): If ``True``, odd-numbered layers begins from the second qubit instead of first one **kwargs: additional keyword arguments for `acquaintances` Raises: ValueError: if inputs do not have the correct format **Example** .. code-block:: python >>> import pennylane as qml >>> dev = qml.device('default.qubit', wires=5) >>> acquaintances = lambda index, wires, param=None: qml.CNOT(index) >>> @qml.qnode(dev) ... def swap_network_circuit(): ... qml.templates.TwoLocalSwapNetwork(dev.wires, acquaintances, fermionic=True, shift=False) ... return qml.state() >>> qml.draw(swap_network_circuit, level='device')() 0: ─╭●─╭fSWAP(3.14)─────────────────╭●─╭fSWAP(3.14)─────────────────╭●─╭fSWAP(3.14)─┤ State 1: ─╰X─╰fSWAP(3.14)─╭●─╭fSWAP(3.14)─╰X─╰fSWAP(3.14)─╭●─╭fSWAP(3.14)─╰X─╰fSWAP(3.14)─┤ State 2: ─╭●─╭fSWAP(3.14)─╰X─╰fSWAP(3.14)─╭●─╭fSWAP(3.14)─╰X─╰fSWAP(3.14)─╭●─╭fSWAP(3.14)─┤ State 3: ─╰X─╰fSWAP(3.14)─╭●─╭fSWAP(3.14)─╰X─╰fSWAP(3.14)─╭●─╭fSWAP(3.14)─╰X─╰fSWAP(3.14)─┤ State 4: ─────────────────╰X─╰fSWAP(3.14)─────────────────╰X─╰fSWAP(3.14)─────────────────┤ State .. details:: :title: Usage Details More complex acquaintances can be utilized with the template. For example: .. code-block:: python >>> dev = qml.device('default.qubit', wires=5) >>> weights = np.random.random(size=qml.TwoLocalSwapNetwork.shape(len(dev.wires))) >>> print(weights) tensor([0.20308242, 0.91906199, 0.67988804, 0.81290256, 0.08708985, 0.81860084, 0.34448344, 0.05655892, 0.61781612, 0.51829044], requires_grad=True) >>> acquaintances = lambda index, wires, param: (qml.CRY(param, wires=index) ... if np.abs(wires[0]-wires[1]) else qml.CRZ(param, wires=index)) >>> @qml.qnode(dev) ... def swap_network_circuit(): ... qml.templates.TwoLocalSwapNetwork(dev.wires, acquaintances, weights, fermionic=False) ... return qml.state() >>> qml.draw(swap_network_circuit, level='device')() 0: ─╭●────────╭SWAP─────────────────╭●────────╭SWAP─────────────────╭●────────╭SWAP─┤ State 1: ─╰RY(0.20)─╰SWAP─╭●────────╭SWAP─╰RY(0.09)─╰SWAP─╭●────────╭SWAP─╰RY(0.62)─╰SWAP─┤ State 2: ─╭●────────╭SWAP─╰RY(0.68)─╰SWAP─╭●────────╭SWAP─╰RY(0.34)─╰SWAP─╭●────────╭SWAP─┤ State 3: ─╰RY(0.92)─╰SWAP─╭●────────╭SWAP─╰RY(0.82)─╰SWAP─╭●────────╭SWAP─╰RY(0.52)─╰SWAP─┤ State 4: ─────────────────╰RY(0.81)─╰SWAP─────────────────╰RY(0.06)─╰SWAP─────────────────┤ State """ num_wires = AnyWires grad_method = None @classmethod def _unflatten(cls, data, metadata): new_op = cls.__new__(cls) new_op._hyperparameters = dict(metadata[1]) # pylint: disable=protected-access new_op._weights = data[0] # pylint: disable=protected-access Operation.__init__(new_op, *data, wires=metadata[0]) return new_op def __init__( self, wires, acquaintances=None, weights=None, fermionic=True, shift=False, id=None, **kwargs, ): # pylint: disable=too-many-arguments if len(wires) < 2: raise ValueError(f"TwoLocalSwapNetwork requires at least 2 wires, got {len(wires)}") if not callable(acquaintances) and acquaintances is not None: raise ValueError( f"Acquaintances must either be a callable or None, got {acquaintances}" ) if weights is not None and acquaintances is None: warnings.warn("Weights are being provided without acquaintances") if ( weights is not None and acquaintances is not None and qml.math.shape(weights)[0] != int(len(wires) * (len(wires) - 1) / 2) ): raise ValueError( f"Weight tensor must be of length {int(len(wires) * (len(wires) - 1) / 2)}, \ got {qml.math.shape(weights)[0]}" ) self._weights = weights self._hyperparameters = { "acquaintances": acquaintances, "fermionic": fermionic, "shift": shift, **kwargs, } if acquaintances is not None and self._weights is not None: super().__init__(self._weights, wires=wires, id=id) else: super().__init__(wires=wires, id=id) @property def num_params(self): return ( 1 if self._hyperparameters["acquaintances"] is not None and self._weights is not None else 0 )
[docs] @staticmethod def compute_decomposition( weights=None, wires=None, acquaintances=None, fermionic=True, shift=False, **kwargs ): # pylint: disable=arguments-differ too-many-arguments r"""Representation of the operator as a product of other operators. .. math:: O = O_1 O_2 \dots O_n. .. seealso:: :meth:`~.TwoLocalSwapNetwork.decomposition`. Args: weights (tensor): weight tensor for the parametrized acquaintances of length :math:`N \times (N - 1) / 2`, where `N` is the length of `wires` wires (Iterable or Wires): ordered sequence of wires on which the swap network acts acquaintances (Callable): callable `func(index, wires, param=None, **kwargs)` that returns a two-local operation, which is applied on a pair of logical wires specified by `index`. This corresponds to applying the operation on physical wires provided by `wires` before any SWAP gates occurred. Parameters for the operation are specified using `param`, and any additional keyword arguments for the callable should be provided using the ``kwargs`` separately fermionic (bool): If ``True``, qubits are realized as fermionic modes and :class:`~.pennylane.FermionicSWAP` with :math:`\phi=\pi` is used instead of :class:`~.pennylane.SWAP` shift (bool): If ``True``, odd-numbered layers begins from the second qubit instead of first one **kwargs: additional keyword arguments for `acquaintances` Returns: list[.Operator]: decomposition of the operator **Example** .. code-block:: python >>> import pennylane as qml >>> dev = qml.device('default.qubit', wires=5) >>> acquaintances = lambda index, wires, param=None: qml.CNOT(index) >>> qml.TwoLocalSwapNetwork.compute_decomposition(wires=dev.wires, ... acquaintances=acquaintances, fermionic=True, shift=False) [CNOT(wires=[0, 1]), FermionicSWAP(3.141592653589793, wires=[0, 1]), CNOT(wires=[2, 3]), FermionicSWAP(3.141592653589793, wires=[2, 3]), CNOT(wires=[1, 2]), FermionicSWAP(3.141592653589793, wires=[1, 2]), CNOT(wires=[3, 4]), FermionicSWAP(3.141592653589793, wires=[3, 4]), CNOT(wires=[0, 1]), FermionicSWAP(3.141592653589793, wires=[0, 1]), CNOT(wires=[2, 3]), FermionicSWAP(3.141592653589793, wires=[2, 3]), CNOT(wires=[1, 2]), FermionicSWAP(3.141592653589793, wires=[1, 2]), CNOT(wires=[3, 4]), FermionicSWAP(3.141592653589793, wires=[3, 4]), CNOT(wires=[0, 1]), FermionicSWAP(3.141592653589793, wires=[0, 1]), CNOT(wires=[2, 3]), FermionicSWAP(3.141592653589793, wires=[2, 3])] """ if wires is None or len(wires) < 2: raise ValueError(f"TwoLocalSwapNetwork requires at least 2 wires, got {wires}") op_list = [] wire_order = list(wires).copy() itrweights = iter([]) if weights is None or acquaintances is None else iter(weights) for layer in range(len(wires)): qubit_pairs = [[i, i + 1] for i in range((layer + shift) % 2, len(wires) - 1, 2)] for i, j in qubit_pairs: qb1, qb2 = wire_order[i], wire_order[j] if acquaintances is not None: op_list.append( acquaintances( index=[wires[i], wires[j]], wires=[qb1, qb2], param=next(itrweights, None), **kwargs, ) ) op_list.append( SWAP(wires=[wires[i], wires[j]]) if not fermionic else FermionicSWAP(np.pi, wires=[wires[i], wires[j]]) ) wire_order[i], wire_order[j] = qb2, qb1 return op_list
[docs] @staticmethod def shape(n_wires): r"""Returns the shape of the weight tensor required for using parametrized acquaintances in the template. Args: n_wires (int): Number of qubits Returns: tuple[int]: shape """ if n_wires < 2: raise ValueError(f"TwoLocalSwapNetwork requires at least 2 wires, got {n_wires}") return (int(n_wires * (n_wires - 1) * 0.5),)