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This code is part of Qiskit.","#","# (C) Copyright IBM 2017, 2020.","#","# This code is licensed under the Apache License, Version 2.0. You may","# obtain a copy of this license in the LICENSE.txt file in the root directory","# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.","#","# Any modifications or derivative works of this code must retain this","# copyright notice, and modified files need to carry a notice indicating","# that they have been altered from the originals.","","","\"\"\"Linearly-controlled X, Y or Z rotation.\"\"\"","","from typing import Optional","","from qiskit.circuit import QuantumRegister, QuantumCircuit","from qiskit.circuit.exceptions import CircuitError","","from .functional_pauli_rotations import FunctionalPauliRotations","","","class LinearPauliRotations(FunctionalPauliRotations):"," r\"\"\"Linearly-controlled X, Y or Z rotation.",""," For a register of state qubits :math:`|x\\rangle`, a target qubit :math:`|0\\rangle` and the"," basis ``'Y'`` this circuit acts as:",""," .. parsed-literal::",""," q_0: ─────────────────────────■───────── ... ──────────────────────"," │"," ."," │"," q_(n-1): ─────────────────────────┼───────── ... ───────────■──────────"," ┌────────────┐ ┌───────┴───────┐ ┌─────────┴─────────┐"," q_n: ─┤ RY(offset) ├──┤ RY(2^0 slope) ├ ... ┤ RY(2^(n-1) slope) ├"," └────────────┘ └───────────────┘ └───────────────────┘",""," This can for example be used to approximate linear functions, with :math:`a =` ``slope``:math:`/2`"," and :math:`b =` ``offset``:math:`/2` and the basis ``'Y'``:",""," .. math::",""," |x\\rangle |0\\rangle \\mapsto \\cos(ax + b)|x\\rangle|0\\rangle + \\sin(ax + b)|x\\rangle |1\\rangle",""," Since for small arguments :math:`\\sin(x) \\approx x` this operator can be used to approximate"," linear functions."," \"\"\"",""," def __init__("," self,"," num_state_qubits: Optional[int] = None,"," slope: float = 1,"," offset: float = 0,"," basis: str = \"Y\","," name: str = \"LinRot\","," ) -> None:"," r\"\"\"Create a new linear rotation circuit.",""," Args:"," num_state_qubits: The number of qubits representing the state :math:`|x\\rangle`."," slope: The slope of the controlled rotation."," offset: The offset of the controlled rotation."," basis: The type of Pauli rotation ('X', 'Y', 'Z')."," name: The name of the circuit object."," \"\"\""," super().__init__(num_state_qubits=num_state_qubits, basis=basis, name=name)",""," # define internal parameters"," self._slope = None"," self._offset = None",""," # store parameters"," self.slope = slope"," self.offset = offset",""," @property"," def slope(self) -> float:"," \"\"\"The multiplicative factor in the rotation angle of the controlled rotations.",""," The rotation angles are ``slope * 2^0``, ``slope * 2^1``, ... , ``slope * 2^(n-1)`` where"," ``n`` is the number of state qubits.",""," Returns:"," The rotation angle common in all controlled rotations."," \"\"\""," return self._slope",""," @slope.setter"," def slope(self, slope: float) -> None:"," \"\"\"Set the multiplicative factor of the rotation angles.",""," Args:"," The slope of the rotation angles."," \"\"\""," if self._slope is None or slope != self._slope:"," self._invalidate()"," self._slope = slope",""," @property"," def offset(self) -> float:"," \"\"\"The angle of the single qubit offset rotation on the target qubit.",""," Before applying the controlled rotations, a single rotation of angle ``offset`` is"," applied to the target qubit.",""," Returns:"," The offset angle."," \"\"\""," return self._offset",""," @offset.setter"," def offset(self, offset: float) -> None:"," \"\"\"Set the angle for the offset rotation on the target qubit.",""," Args:"," offset: The offset rotation angle."," \"\"\""," if self._offset is None or offset != self._offset:"," self._invalidate()"," self._offset = offset",""," def _reset_registers(self, num_state_qubits: Optional[int]) -> None:"," \"\"\"Set the number of state qubits.",""," Note that this changes the underlying quantum register, if the number of state qubits"," changes.",""," Args:"," num_state_qubits: The new number of qubits."," \"\"\""," self.qregs = []",""," if num_state_qubits:"," # set new register of appropriate size"," qr_state = QuantumRegister(num_state_qubits, name=\"state\")"," qr_target = QuantumRegister(1, name=\"target\")"," self.qregs = [qr_state, qr_target]",""," def _check_configuration(self, raise_on_failure: bool = True) -> bool:"," \"\"\"Check if the current configuration is valid.\"\"\""," valid = True",""," if self.num_state_qubits is None:"," valid = False"," if raise_on_failure:"," raise AttributeError(\"The number of qubits has not been set.\")",""," if self.num_qubits < self.num_state_qubits + 1:"," valid = False"," if raise_on_failure:"," raise CircuitError("," \"Not enough qubits in the circuit, need at least \""," \"{}.\".format(self.num_state_qubits + 1)"," )",""," return valid",""," def _build(self):"," \"\"\"If not already built, build the circuit.\"\"\""," if self._is_built:"," return",""," super()._build()",""," circuit = QuantumCircuit(*self.qregs, 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