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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.","","\"\"\"Compute the weighted sum of qubit states.\"\"\"","","from typing import List, Optional","import numpy as np","","from qiskit.circuit import QuantumRegister, AncillaRegister, QuantumCircuit","","from ..blueprintcircuit import BlueprintCircuit","","","class WeightedAdder(BlueprintCircuit):"," r\"\"\"A circuit to compute the weighted sum of qubit registers.",""," Given :math:`n` qubit basis states :math:`q_0, \\ldots, q_{n-1} \\in \\{0, 1\\}` and non-negative"," integer weights :math:`\\lambda_0, \\ldots, \\lambda_{n-1}`, this circuit performs the operation",""," .. math::",""," |q_0 \\ldots q_{n-1}\\rangle |0\\rangle_s"," \\mapsto |q_0 \\ldots q_{n-1}\\rangle |\\sum_{j=0}^{n-1} \\lambda_j q_j\\rangle_s",""," where :math:`s` is the number of sum qubits required."," This can be computed as",""," .. math::",""," s = 1 + \\left\\lfloor \\log_2\\left( \\sum_{j=0}^{n-1} \\lambda_j \\right) \\right\\rfloor",""," or :math:`s = 1` if the sum of the weights is 0 (then the expression in the logarithm is"," invalid).",""," For qubits in a circuit diagram, the first weight applies to the upper-most qubit."," For an example where the state of 4 qubits is added into a sum register, the circuit can"," be schematically drawn as",""," .. parsed-literal::",""," ┌────────┐"," state_0: ┤0 ├ | state_0 * weights[0]"," │ │ |"," state_1: ┤1 ├ | + state_1 * weights[1]"," │ │ |"," state_2: ┤2 ├ | + state_2 * weights[2]"," │ │ |"," state_3: ┤3 ├ | + state_3 * weights[3]"," │ │"," sum_0: ┤4 ├ |"," │ Adder │ |"," sum_1: ┤5 ├ | = sum_0 * 2^0 + sum_1 * 2^1 + sum_2 * 2^2"," │ │ |"," sum_2: ┤6 ├ |"," │ │"," carry_0: ┤7 ├"," │ │"," carry_1: ┤8 ├"," │ │"," control_0: ┤9 ├"," └────────┘"," \"\"\"",""," def __init__("," self,"," num_state_qubits: Optional[int] = None,"," weights: Optional[List[int]] = None,"," name: str = \"adder\","," ) -> None:"," \"\"\"Computes the weighted sum controlled by state qubits.",""," Args:"," num_state_qubits: The number of state qubits."," weights: List of weights, one for each state qubit. If none are provided they"," default to 1 for every qubit."," name: The name of the circuit."," \"\"\""," super().__init__(name=name)",""," self._weights = None"," self._num_state_qubits = None",""," self.weights = weights"," self.num_state_qubits = num_state_qubits",""," @property"," def num_sum_qubits(self) -> int:"," \"\"\"The number of sum qubits in the circuit.",""," Returns:"," The number of qubits needed to represent the weighted sum of the qubits."," \"\"\""," if sum(self.weights) > 0:"," return int(np.floor(np.log2(sum(self.weights))) + 1)"," return 1",""," @property"," def weights(self) -> List[int]:"," \"\"\"The weights for the qubit states.",""," Returns:"," The weight for the qubit states."," \"\"\""," if self._weights:"," return self._weights"," if self.num_state_qubits:"," return [1] * self.num_state_qubits"," return None",""," @weights.setter"," def weights(self, weights: List[int]) -> None:"," \"\"\"Set the weights for summing the qubit states.",""," Args:"," weights: The new weights.",""," Raises:"," ValueError: If not all weights are close to an integer."," \"\"\""," if weights:"," for i, weight in enumerate(weights):"," if not np.isclose(weight, np.round(weight)):"," raise ValueError(\"Non-integer weights are not supported!\")"," weights[i] = np.round(weight)",""," self._invalidate()"," self._weights = weights"," self._reset_registers()",""," @property"," def num_state_qubits(self) -> int:"," \"\"\"The number of qubits to be summed.",""," Returns:"," The number of state qubits."," \"\"\""," return self._num_state_qubits",""," @num_state_qubits.setter"," def num_state_qubits(self, num_state_qubits: int) -> None:"," \"\"\"Set the number of state qubits.",""," Args:"," num_state_qubits: The new number of state qubits."," \"\"\""," if self._num_state_qubits is None or num_state_qubits != self._num_state_qubits:"," self._invalidate()"," self._num_state_qubits = num_state_qubits"," self._reset_registers()",""," def _reset_registers(self):"," \"\"\"Reset the registers.\"\"\""," self.qregs = []",""," if self.num_state_qubits:"," qr_state = QuantumRegister(self.num_state_qubits, name=\"state\")"," qr_sum = QuantumRegister(self.num_sum_qubits, name=\"sum\")"," self.qregs = [qr_state, qr_sum]",""," if self.num_carry_qubits > 0:"," qr_carry = AncillaRegister(self.num_carry_qubits, name=\"carry\")"," self.add_register(qr_carry)",""," if self.num_control_qubits > 0:"," qr_control = AncillaRegister(self.num_control_qubits, name=\"control\")"," self.add_register(qr_control)",""," @property"," def num_carry_qubits(self) -> int:"," \"\"\"The number of carry qubits required to compute the sum.",""," Note that this is not necessarily equal to the number of ancilla qubits, these can"," be queried using ``num_ancilla_qubits``.",""," Returns:"," The number of carry qubits required to compute the sum."," \"\"\""," return self.num_sum_qubits - 1",""," @property"," def num_control_qubits(self) -> int:"," \"\"\"The number of additional control qubits required.",""," Note that the total number of ancilla qubits can be obtained by calling the"," method ``num_ancilla_qubits``.",""," Returns:"," The number of additional control qubits required (0 or 1)."," \"\"\""," return int(self.num_sum_qubits > 2)",""," def _check_configuration(self, raise_on_failure=True):"," \"\"\"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 state qubits has not been set.\")",""," if self._num_state_qubits != len(self.weights):"," valid = False"," if raise_on_failure:"," raise ValueError(\"Mismatching number of state qubits and weights.\")",""," return valid",""," def _build(self):"," \"\"\"If not already built, build the circuit.\"\"\""," if self._is_built:"," return",""," super()._build()",""," num_result_qubits = self.num_state_qubits + self.num_sum_qubits",""," circuit = QuantumCircuit(*self.qregs)"," qr_state = circuit.qubits[: self.num_state_qubits]"," qr_sum = circuit.qubits[self.num_state_qubits : num_result_qubits]"," qr_carry = circuit.qubits[num_result_qubits : num_result_qubits + self.num_carry_qubits]"," qr_control = circuit.qubits[num_result_qubits + self.num_carry_qubits :]",""," # loop over state qubits and corresponding weights"," for i, weight in enumerate(self.weights):"," # only act if non-trivial weight"," if np.isclose(weight, 0):"," continue",""," # get state control qubit"," q_state = qr_state[i]",""," # get bit representation of current weight"," weight_binary = f\"{int(weight):b}\".rjust(self.num_sum_qubits, \"0\")[::-1]",""," # loop over bits of current weight and add them to sum and carry registers"," for j, bit in enumerate(weight_binary):"," if bit == \"1\":"," if self.num_sum_qubits == 1:"," circuit.cx(q_state, qr_sum[j])"," elif j == 0:"," # compute (q_sum[0] + 1) into (q_sum[0], q_carry[0])"," # - controlled by q_state[i]"," circuit.ccx(q_state, qr_sum[j], qr_carry[j])"," circuit.cx(q_state, qr_sum[j])"," elif j == self.num_sum_qubits - 1:"," # compute (q_sum[j] + q_carry[j-1] + 1) into (q_sum[j])"," # - controlled by q_state[i] / last qubit,"," # no carry needed by construction"," circuit.cx(q_state, qr_sum[j])"," circuit.ccx(q_state, qr_carry[j - 1], qr_sum[j])"," else:"," # compute (q_sum[j] + q_carry[j-1] + 1) into (q_sum[j], q_carry[j])"," # - controlled by q_state[i]"," circuit.x(qr_sum[j])"," circuit.x(qr_carry[j - 1])"," circuit.mcx("," [q_state, qr_sum[j], qr_carry[j - 1]],"," qr_carry[j],"," qr_control,"," mode=\"v-chain\","," )"," circuit.cx(q_state, qr_carry[j])"," circuit.x(qr_sum[j])"," circuit.x(qr_carry[j - 1])"," circuit.cx(q_state, qr_sum[j])"," circuit.ccx(q_state, qr_carry[j - 1], qr_sum[j])"," else:"," if self.num_sum_qubits == 1:"," pass # nothing to do, since nothing to add"," elif j == 0:"," pass # nothing to do, since nothing to add"," elif j == self.num_sum_qubits - 1:"," # compute (q_sum[j] + q_carry[j-1]) into 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