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This code is part of Qiskit.","#","# (C) Copyright IBM 2017, 2018.","#","# 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.","","\"\"\"Optimize chains of single-qubit u1, u2, u3 gates by combining them into a single gate.\"\"\"","","from itertools import groupby","","import numpy as np","","from qiskit.transpiler.exceptions import TranspilerError","from qiskit.circuit.library.standard_gates.p import PhaseGate","from qiskit.circuit.library.standard_gates.u import UGate","from qiskit.circuit.library.standard_gates.u1 import U1Gate","from qiskit.circuit.library.standard_gates.u2 import U2Gate","from qiskit.circuit.library.standard_gates.u3 import U3Gate","from qiskit.circuit import ParameterExpression","from qiskit.circuit.gate import Gate","from qiskit.transpiler.basepasses import TransformationPass","from qiskit.quantum_info.quaternion import Quaternion","from qiskit._accelerate.optimize_1q_gates import compose_u3_rust","","_CHOP_THRESHOLD = 1e-15","","","class Optimize1qGates(TransformationPass):"," \"\"\"Optimize chains of single-qubit u1, u2, u3 gates by combining them into a single gate.\"\"\"",""," def __init__(self, basis=None, eps=1e-15, target=None):"," \"\"\"Optimize1qGates initializer.",""," Args:"," basis (list[str]): Basis gates to consider, e.g. `['u3', 'cx']`. For the effects"," of this pass, the basis is the set intersection between the `basis` parameter and"," the set `{'u1','u2','u3', 'u', 'p'}`."," eps (float): EPS to check against"," target (Target): The :class:`~.Target` representing the target backend, if both"," ``basis`` and ``target`` are specified then this argument will take"," precedence and ``basis`` will be ignored."," \"\"\""," super().__init__()"," self.basis = set(basis) if basis else {\"u1\", \"u2\", \"u3\"}"," self.eps = eps"," self.target = target",""," def run(self, dag):"," \"\"\"Run the Optimize1qGates pass on `dag`.",""," Args:"," dag (DAGCircuit): the DAG to be optimized.",""," Returns:"," DAGCircuit: the optimized DAG.",""," Raises:"," TranspilerError: if ``YZY`` and ``ZYZ`` angles do not give same rotation matrix."," \"\"\""," use_u = \"u\" in self.basis"," use_p = \"p\" in self.basis"," runs = dag.collect_runs([\"u1\", \"u2\", \"u3\", \"u\", \"p\"])"," runs = _split_runs_on_parameters(runs)"," for run in runs:"," run_qubits = None"," if self.target is not None:"," run_qubits = tuple(dag.find_bit(x).index for x in run[0].qargs)",""," if self.target.instruction_supported(\"p\", run_qubits):"," right_name = \"p\""," else:"," right_name = \"u1\""," else:"," if use_p:"," right_name = \"p\""," else:"," right_name = \"u1\""," right_parameters = (0, 0, 0) # (theta, phi, lambda)"," right_global_phase = 0"," for current_node in run:"," left_name = current_node.name"," if ("," getattr(current_node.op, \"condition\", None) is not None"," or len(current_node.qargs) != 1"," or left_name not in [\"p\", \"u1\", \"u2\", \"u3\", \"u\", \"id\"]"," ):"," raise TranspilerError(\"internal error\")"," if left_name in (\"u1\", \"p\"):"," left_parameters = (0, 0, current_node.op.params[0])"," elif left_name == \"u2\":"," left_parameters = ("," np.pi / 2,"," current_node.op.params[0],"," current_node.op.params[1],"," )"," elif left_name in (\"u3\", \"u\"):"," left_parameters = tuple(current_node.op.params)"," else:"," if use_p:"," left_name = \"p\""," else:"," left_name = \"u1\" # replace id with u1"," left_parameters = (0, 0, 0)"," if ("," current_node.op.definition is not None"," and current_node.op.definition.global_phase"," ):"," right_global_phase += current_node.op.definition.global_phase",""," # If there are any sympy objects coming from the gate convert"," # to numpy."," try:"," left_parameters = tuple(float(x) for x in left_parameters)"," except TypeError:"," # If left_parameters contained any unbound Parameters"," pass",""," # Compose gates"," name_tuple = (left_name, right_name)"," if name_tuple in ((\"u1\", \"u1\"), (\"p\", \"p\")):"," # u1(lambda1) * u1(lambda2) = u1(lambda1 + lambda2)"," right_parameters = (0, 0, right_parameters[2] + left_parameters[2])"," elif name_tuple in ((\"u1\", \"u2\"), (\"p\", \"u2\")):"," # u1(lambda1) * u2(phi2, lambda2) = u2(phi2 + lambda1, lambda2)"," right_parameters = ("," np.pi / 2,"," right_parameters[1] + left_parameters[2],"," right_parameters[2],"," )"," elif name_tuple in ((\"u2\", \"u1\"), (\"u2\", \"p\")):"," # u2(phi1, lambda1) * u1(lambda2) = u2(phi1, lambda1 + lambda2)"," right_name = \"u2\""," right_parameters = ("," np.pi / 2,"," left_parameters[1],"," right_parameters[2] + left_parameters[2],"," )"," elif name_tuple in ((\"u1\", \"u3\"), (\"u1\", \"u\"), (\"p\", \"u3\"), (\"p\", \"u\")):"," # u1(lambda1) * u3(theta2, phi2, lambda2) ="," # u3(theta2, phi2 + lambda1, lambda2)"," right_parameters = ("," right_parameters[0],"," right_parameters[1] + left_parameters[2],"," right_parameters[2],"," )"," elif name_tuple in ((\"u3\", \"u1\"), (\"u\", \"u1\"), (\"u3\", \"p\"), (\"u\", \"p\")):"," # u3(theta1, phi1, lambda1) * u1(lambda2) ="," # u3(theta1, phi1, lambda1 + lambda2)"," if use_u:"," right_name = \"u\""," else:"," right_name = \"u3\""," right_parameters = ("," left_parameters[0],"," left_parameters[1],"," right_parameters[2] + left_parameters[2],"," )"," elif name_tuple == (\"u2\", \"u2\"):"," # Using Ry(pi/2).Rz(2*lambda).Ry(pi/2) ="," # Rz(pi/2).Ry(pi-2*lambda).Rz(pi/2),"," # u2(phi1, lambda1) * u2(phi2, lambda2) ="," # u3(pi - lambda1 - phi2, phi1 + pi/2, lambda2 + pi/2)"," if use_u:"," right_name = \"u\""," else:"," right_name = \"u3\""," right_parameters = ("," np.pi - left_parameters[2] - right_parameters[1],"," left_parameters[1] + np.pi / 2,"," right_parameters[2] + np.pi / 2,"," )"," elif name_tuple[1] == \"nop\":"," right_name = left_name"," right_parameters = left_parameters"," else:"," # For composing u3's or u2's with u3's, use"," # u2(phi, lambda) = u3(pi/2, phi, lambda)"," # together with the qiskit.mapper.compose_u3 method."," if use_u:"," right_name = \"u\""," else:"," right_name = \"u3\""," # Evaluate the symbolic expressions for efficiency"," right_parameters = Optimize1qGates.compose_u3("," left_parameters[0],"," left_parameters[1],"," left_parameters[2],"," right_parameters[0],"," right_parameters[1],"," right_parameters[2],"," )"," # Why evalf()? This program:"," # OPENQASM 2.0;"," # include \"qelib1.inc\";"," # qreg q[2];"," # creg c[2];"," # u3(0.518016983430947*pi,1.37051598592907*pi,1.36816383603222*pi) q[0];"," # u3(1.69867232277986*pi,0.371448347747471*pi,0.461117217930936*pi) q[0];"," # u3(0.294319836336836*pi,0.450325871124225*pi,1.46804720442555*pi) q[0];"," # measure q -> c;"," # took >630 seconds (did not complete) to optimize without"," # calling evalf() at all, 19 seconds to optimize calling"," # evalf() AFTER compose_u3, and 1 second to optimize"," # calling evalf() BEFORE compose_u3."," # 1. Here down, when we simplify, we add f(theta) to lambda to"," # correct the global phase when f(theta) is 2*pi. This isn't"," # necessary but the other steps preserve the global phase, so"," # we continue in that manner."," # 2. The final step will remove Z rotations by 2*pi."," # 3. Note that is_zero is true only if the expression is exactly"," # zero. If the input expressions have already been evaluated"," # then these final simplifications will not occur."," # TODO After we refactor, we should have separate passes for"," # exact and approximate rewriting.",""," # Y rotation is 0 mod 2*pi, so the gate is a u1"," if ("," not isinstance(right_parameters[0], ParameterExpression)"," and abs(np.mod(right_parameters[0], (2 * np.pi))) < self.eps"," and right_name != \"u1\""," and right_name != \"p\""," ):"," if use_p:"," right_name = \"p\""," else:"," right_name = \"u1\""," right_parameters = ("," 0,"," 0,"," right_parameters[1] + right_parameters[2] + right_parameters[0],"," )"," # Y rotation is pi/2 or -pi/2 mod 2*pi, so the gate is a u2"," if right_name in (\"u3\", \"u\"):"," if not isinstance(right_parameters[0], ParameterExpression):"," # theta = pi/2 + 2*k*pi"," right_angle = right_parameters[0] - np.pi / 2"," if abs(right_angle) < self.eps:"," right_angle = 0"," if abs(np.mod((right_angle), 2 * np.pi)) < self.eps:"," right_name = \"u2\""," right_parameters = ("," np.pi / 2,"," right_parameters[1],"," right_parameters[2] + (right_parameters[0] - np.pi / 2),"," )"," # theta = -pi/2 + 2*k*pi"," right_angle = right_parameters[0] + np.pi / 2"," if abs(right_angle) < self.eps:"," right_angle = 0"," if abs(np.mod(right_angle, 2 * np.pi)) < self.eps:"," right_name = \"u2\""," right_parameters = ("," np.pi / 2,"," right_parameters[1] + np.pi,"," right_parameters[2] - np.pi + (right_parameters[0] + np.pi / 2),"," )",""," # u1 and lambda is 0 mod 2*pi so gate is nop (up to a global phase)"," if ("," not isinstance(right_parameters[2], ParameterExpression)"," and right_name in (\"u1\", \"p\")"," and abs(np.mod(right_parameters[2], 2 * np.pi)) < self.eps"," ):"," right_name = \"nop\"",""," if self.target is not None:"," if right_name == \"u2\" and not self.target.instruction_supported(\"u2\", run_qubits):"," if self.target.instruction_supported(\"u\", run_qubits):"," right_name = \"u\""," else:"," right_name = \"u3\""," if right_name in (\"u1\", \"p\") and not self.target.instruction_supported("," right_name, run_qubits"," ):"," if self.target.instruction_supported(\"u\", run_qubits):"," right_name = \"u\""," else:"," right_name = \"u3\""," else:"," if right_name == \"u2\" and \"u2\" not in self.basis:"," if use_u:"," right_name = \"u\""," else:"," right_name = \"u3\""," if right_name in (\"u1\", \"p\") and right_name not in self.basis:"," if use_u:"," right_name = \"u\""," else:"," right_name = \"u3\"",""," new_op = Gate(name=\"\", num_qubits=1, params=[])"," if right_name == \"u1\":"," new_op = U1Gate(right_parameters[2])"," if right_name == \"p\":"," new_op = PhaseGate(right_parameters[2])"," if right_name == \"u2\":"," new_op = U2Gate(right_parameters[1], right_parameters[2])"," if right_name == \"u\":"," if \"u\" in self.basis:"," new_op = UGate(*right_parameters)"," if right_name == \"u3\":"," if \"u3\" in self.basis:"," new_op = U3Gate(*right_parameters)"," else:"," raise TranspilerError(\"It was not possible to use the basis %s\" % self.basis)",""," dag.global_phase += right_global_phase",""," if right_name != \"nop\":"," dag.substitute_node(run[0], new_op, inplace=True)",""," # Delete the other nodes in the run"," for current_node in run[1:]:"," dag.remove_op_node(current_node)"," if right_name == \"nop\":"," dag.remove_op_node(run[0])",""," return dag",""," @staticmethod"," def compose_u3(theta1, phi1, lambda1, theta2, phi2, lambda2):"," \"\"\"Return a triple theta, phi, lambda for the product.",""," u3(theta, phi, lambda)"," = u3(theta1, phi1, lambda1).u3(theta2, phi2, lambda2)"," = Rz(phi1).Ry(theta1).Rz(lambda1+phi2).Ry(theta2).Rz(lambda2)"," = Rz(phi1).Rz(phi').Ry(theta').Rz(lambda').Rz(lambda2)"," = u3(theta', phi1 + phi', lambda2 + lambda')",""," Return theta, phi, lambda."," \"\"\""," (theta, phi, lamb) = compose_u3_rust(theta1, phi1, lambda1, theta2, phi2, lambda2)"," return (theta, phi, lamb)",""," @staticmethod"," def yzy_to_zyz(xi, theta1, theta2, eps=1e-9): # 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