Source code for pennylane.ops.qutrit.state_preparation

# Copyright 2018-2021 Xanadu Quantum Technologies Inc.

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This submodule contains the discrete-variable quantum operations concerned
with preparing a certain state on the qutrit device.
# pylint:disable=abstract-method,arguments-differ,protected-access,no-member
from pennylane import numpy as np
from pennylane import math
from pennylane.operation import AnyWires, StatePrepBase
from pennylane.templates.state_preparations import QutritBasisStatePreparation
from pennylane.wires import Wires, WireError

state_prep_ops = {"QutritBasisState"}

[docs]class QutritBasisState(StatePrepBase): r"""QutritBasisState(n, wires) Prepares a single computational basis state for a qutrit system. **Details:** * Number of wires: Any (the operation can act on any number of wires) * Number of parameters: 1 * Gradient recipe: None (integer parameters not supported) .. note:: If the ``QutritBasisState`` operation is not supported natively on the target device, PennyLane will attempt to decompose the operation into :class:`~.TShift` operations. .. note:: When called in the middle of a circuit, the action of the operation is defined as :math:`U|0\rangle = |\psi\rangle` Args: n (array): prepares the basis state :math:`\ket{n}`, where ``n`` is an array of integers from the set :math:`\{0, 1, 2\}`, i.e., if ``n = np.array([0, 1, 0])``, prepares the state :math:`|010\rangle`. wires (Sequence[int] or int): the wire(s) the operation acts on **Example** >>> dev = qml.device('default.qutrit', wires=2) >>> @qml.qnode(dev) ... def example_circuit(): ... qml.QutritBasisState(np.array([2, 2]), wires=range(2)) ... return qml.state() >>> print(example_circuit()) [0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 1.+0.j] """ num_wires = AnyWires num_params = 1 """int: Number of trainable parameters that the operator depends on.""" ndim_params = (1,) """int: Number of dimensions per trainable parameter of the operator."""
[docs] @staticmethod def compute_decomposition(n, wires): r"""Representation of the operator as a product of other operators (static method). : .. math:: O = O_1 O_2 \dots O_n. .. seealso:: :meth:`~.BasisState.decomposition`. Args: n (array): prepares the basis state :math:`\ket{n}`, where ``n`` is an array of integers from the set :math:`\{0, 1, 2\}` wires (Iterable, Wires): the wire(s) the operation acts on Returns: list[Operator]: decomposition into lower level operations **Example:** >>> qml.QutritBasisState.compute_decomposition([1,0], wires=(0,1)) [QutritBasisStatePreparation(array([1, 0]), wires=[0, 1])] """ return [QutritBasisStatePreparation(n, wires)]
[docs] def state_vector(self, wire_order=None): """Returns a state-vector of shape ``(3,) * num_wires``.""" prep_vals = self.parameters[0] if any(i not in [0, 1, 2] for i in prep_vals): raise ValueError("QutritBasisState parameter must consist of 0, 1 or 2 integers.") if (num_wires := len(self.wires)) != len(prep_vals): raise ValueError("QutritBasisState parameter and wires must be of equal length.") if wire_order is None: indices = prep_vals else: if not Wires(wire_order).contains_wires(self.wires): raise WireError("Custom wire_order must contain all QutritBasisState wires") num_wires = len(wire_order) indices = [0] * num_wires for base_wire_label, value in zip(self.wires, prep_vals): indices[wire_order.index(base_wire_label)] = value ket = np.zeros((3,) * num_wires) ket[tuple(indices)] = 1 return math.convert_like(ket, prep_vals)