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This code is part of Qiskit.","#","# (C) Copyright IBM 2021.","#","# 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.","","\"\"\"Dynamical Decoupling insertion pass.\"\"\"","","import itertools","","import numpy as np","from qiskit.circuit import Gate, Delay, Reset","from qiskit.circuit.library.standard_gates import IGate, UGate, U3Gate","from qiskit.dagcircuit import DAGOpNode, DAGInNode","from qiskit.quantum_info.operators.predicates import matrix_equal","from qiskit.synthesis.one_qubit import OneQubitEulerDecomposer","from qiskit.transpiler.passes.optimization import Optimize1qGates","from qiskit.transpiler.basepasses import TransformationPass","from qiskit.transpiler.exceptions import TranspilerError","from qiskit.utils.deprecation import deprecate_func","","","class DynamicalDecoupling(TransformationPass):"," \"\"\"Dynamical decoupling insertion pass.",""," This pass works on a scheduled, physical circuit. It scans the circuit for"," idle periods of time (i.e. those containing delay instructions) and inserts"," a DD sequence of gates in those spots. These gates amount to the identity,"," so do not alter the logical action of the circuit, but have the effect of"," mitigating decoherence in those idle periods.",""," As a special case, the pass allows a length-1 sequence (e.g. [XGate()])."," In this case the DD insertion happens only when the gate inverse can be"," absorbed into a neighboring gate in the circuit (so we would still be"," replacing Delay with something that is equivalent to the identity)."," This can be used, for instance, as a Hahn echo.",""," This pass ensures that the inserted sequence preserves the circuit exactly"," (including global phase).",""," .. plot::"," :include-source:",""," import numpy as np"," from qiskit.circuit import QuantumCircuit"," from qiskit.circuit.library import XGate"," from qiskit.transpiler import PassManager, InstructionDurations"," from qiskit.transpiler.passes import ALAPSchedule, DynamicalDecoupling"," from qiskit.visualization import timeline_drawer",""," # Because the legacy passes do not propagate the scheduling information correctly, it is"," # necessary to run a no-op \"re-schedule\" before the output circuits can be drawn."," def draw(circuit):"," from qiskit import transpile",""," scheduled = transpile("," circuit,"," optimization_level=0,"," instruction_durations=InstructionDurations(),"," scheduling_method=\"alap\","," )"," return timeline_drawer(scheduled)",""," circ = QuantumCircuit(4)"," circ.h(0)"," circ.cx(0, 1)"," circ.cx(1, 2)"," circ.cx(2, 3)"," circ.measure_all()"," durations = InstructionDurations("," [(\"h\", 0, 50), (\"cx\", [0, 1], 700), (\"reset\", None, 10),"," (\"cx\", [1, 2], 200), (\"cx\", [2, 3], 300),"," (\"x\", None, 50), (\"measure\", None, 1000)]"," )"," # balanced X-X sequence on all qubits"," dd_sequence = [XGate(), XGate()]"," pm = PassManager([ALAPSchedule(durations),"," DynamicalDecoupling(durations, dd_sequence)])"," circ_dd = pm.run(circ)"," draw(circ_dd)",""," # Uhrig sequence on qubit 0"," n = 8"," dd_sequence = [XGate()] * n"," def uhrig_pulse_location(k):"," return np.sin(np.pi * (k + 1) / (2 * n + 2)) ** 2"," spacing = []"," for k in range(n):"," spacing.append(uhrig_pulse_location(k) - sum(spacing))"," spacing.append(1 - sum(spacing))"," pm = PassManager("," ["," ALAPSchedule(durations),"," DynamicalDecoupling(durations, dd_sequence, qubits=[0], spacing=spacing),"," ]"," )"," circ_dd = pm.run(circ)"," draw(circ_dd)"," \"\"\"",""," @deprecate_func("," additional_msg=("," \"Instead, use :class:`~.PadDynamicalDecoupling`, which performs the same \""," \"function but requires scheduling and alignment analysis passes to run prior to it.\""," ),"," since=\"0.21.0\","," pending=True,"," )"," def __init__("," self, durations, dd_sequence, qubits=None, spacing=None, skip_reset_qubits=True, target=None"," ):"," \"\"\"Dynamical decoupling initializer.",""," Args:"," durations (InstructionDurations): Durations of instructions to be"," used in scheduling."," dd_sequence (list[Gate]): sequence of gates to apply in idle spots."," qubits (list[int]): physical qubits on which to apply DD."," If None, all qubits will undergo DD (when possible)."," spacing (list[float]): a list of spacings between the DD gates."," The available slack will be divided according to this."," The list length must be one more than the length of dd_sequence,"," and the elements must sum to 1. If None, a balanced spacing"," will be used [d/2, d, d, ..., d, d, d/2]."," skip_reset_qubits (bool): if True, does not insert DD on idle"," periods that immediately follow initialized/reset qubits (as"," qubits in the ground state are less susceptile to decoherence)."," target (Target): The :class:`~.Target` representing the target backend, if both"," ``durations`` and this are specified then this argument will take"," precedence and ``durations`` will be ignored."," \"\"\""," super().__init__()"," self._durations = durations"," self._dd_sequence = dd_sequence"," self._qubits = qubits"," self._spacing = spacing"," self._skip_reset_qubits = skip_reset_qubits"," self._target = target"," if target is not None:"," self._durations = target.durations()"," for gate in dd_sequence:"," if gate.name not in target.operation_names:"," raise TranspilerError("," f\"{gate.name} in dd_sequence is not supported in the target\""," )",""," def run(self, dag):"," \"\"\"Run the DynamicalDecoupling pass on dag.",""," Args:"," dag (DAGCircuit): a scheduled DAG.",""," Returns:"," DAGCircuit: equivalent circuit with delays interrupted by DD,"," where possible.",""," Raises:"," TranspilerError: if the circuit is not mapped on physical qubits."," \"\"\""," if len(dag.qregs) != 1 or dag.qregs.get(\"q\", None) is None:"," raise TranspilerError(\"DD runs on physical circuits only.\")",""," if dag.duration is None:"," raise TranspilerError(\"DD runs after circuit is scheduled.\")",""," num_pulses = len(self._dd_sequence)"," sequence_gphase = 0"," if num_pulses != 1:"," if num_pulses % 2 != 0:"," raise TranspilerError(\"DD sequence must contain an even number of gates (or 1).\")"," noop = np.eye(2)"," for gate in self._dd_sequence:"," noop = noop.dot(gate.to_matrix())"," if not matrix_equal(noop, IGate().to_matrix(), ignore_phase=True):"," raise TranspilerError(\"The DD sequence does not make an identity operation.\")"," sequence_gphase = np.angle(noop[0][0])",""," if self._qubits is None:"," self._qubits = set(range(dag.num_qubits()))"," else:"," self._qubits = set(self._qubits)",""," if self._spacing:"," if sum(self._spacing) != 1 or any(a < 0 for a in self._spacing):"," raise TranspilerError("," \"The spacings must be given in terms of fractions \""," \"of the slack period and sum to 1.\""," )"," else: # default to balanced spacing"," mid = 1 / num_pulses"," end = mid / 2"," self._spacing = [end] + [mid] * (num_pulses - 1) + [end]",""," for qarg in list(self._qubits):"," for gate in self._dd_sequence:"," if not self.__gate_supported(gate, qarg):"," self._qubits.discard(qarg)"," break",""," index_sequence_duration_map = {}"," for physical_qubit in self._qubits:"," dd_sequence_duration = 0"," for index, gate in enumerate(self._dd_sequence):"," gate = gate.to_mutable()"," self._dd_sequence[index] = gate"," gate.duration = self._durations.get(gate, physical_qubit)",""," dd_sequence_duration += gate.duration"," index_sequence_duration_map[physical_qubit] = dd_sequence_duration",""," new_dag = dag.copy_empty_like()",""," for nd in dag.topological_op_nodes():"," if not isinstance(nd.op, Delay):"," new_dag.apply_operation_back(nd.op, nd.qargs, nd.cargs, check=False)"," continue",""," dag_qubit = nd.qargs[0]"," physical_qubit = dag.find_bit(dag_qubit).index"," if physical_qubit not in self._qubits: # skip unwanted qubits"," new_dag.apply_operation_back(nd.op, nd.qargs, nd.cargs, check=False)"," continue",""," pred = next(dag.predecessors(nd))"," succ = next(dag.successors(nd))"," if self._skip_reset_qubits: # discount initial delays"," if isinstance(pred, DAGInNode) or isinstance(pred.op, Reset):"," new_dag.apply_operation_back(nd.op, nd.qargs, nd.cargs, check=False)"," continue",""," dd_sequence_duration = index_sequence_duration_map[physical_qubit]"," slack = nd.op.duration - dd_sequence_duration"," if slack <= 0: # dd doesn't fit"," new_dag.apply_operation_back(nd.op, nd.qargs, nd.cargs, check=False)"," continue",""," if num_pulses == 1: # special case of using a single gate for DD"," u_inv = self._dd_sequence[0].inverse().to_matrix()"," theta, phi, lam, phase = OneQubitEulerDecomposer().angles_and_phase(u_inv)"," # absorb the inverse into the successor (from left in circuit)"," if isinstance(succ, DAGOpNode) and isinstance(succ.op, (UGate, U3Gate)):"," theta_r, phi_r, lam_r = succ.op.params"," succ.op.params = Optimize1qGates.compose_u3("," theta_r, phi_r, lam_r, theta, phi, lam"," )"," sequence_gphase += phase"," # absorb the inverse into the predecessor (from right in circuit)"," elif isinstance(pred, DAGOpNode) and isinstance(pred.op, (UGate, U3Gate)):"," theta_l, phi_l, lam_l = pred.op.params"," pred.op.params = Optimize1qGates.compose_u3("," theta, phi, lam, theta_l, phi_l, lam_l"," )"," sequence_gphase += phase"," # don't do anything if there's no single-qubit gate to absorb the inverse"," else:"," new_dag.apply_operation_back(nd.op, nd.qargs, nd.cargs, check=False)"," continue",""," # insert the actual DD 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