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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.","","\"\"\"Second-order Pauli-Z expansion circuit.\"\"\"","","from typing import Callable, List, Union, Optional","import numpy as np","from .pauli_feature_map import PauliFeatureMap","","","class ZZFeatureMap(PauliFeatureMap):"," r\"\"\"Second-order Pauli-Z evolution circuit.",""," For 3 qubits and 1 repetition and linear entanglement the circuit is represented by:",""," .. parsed-literal::",""," ┌───┐┌─────────────────┐"," ┤ H ├┤ U1(2.0*φ(x[0])) ├──■────────────────────────────■────────────────────────────────────"," ├───┤├─────────────────┤┌─┴─┐┌──────────────────────┐┌─┴─┐"," ┤ H ├┤ U1(2.0*φ(x[1])) ├┤ X ├┤ U1(2.0*φ(x[0],x[1])) ├┤ X ├──■────────────────────────────■──"," ├───┤├─────────────────┤└───┘└──────────────────────┘└───┘┌─┴─┐┌──────────────────────┐┌─┴─┐"," ┤ H ├┤ U1(2.0*φ(x[2])) ├──────────────────────────────────┤ X ├┤ U1(2.0*φ(x[1],x[2])) ├┤ X ├"," └───┘└─────────────────┘ └───┘└──────────────────────┘└───┘",""," where :math:`\\varphi` is a classical non-linear function, which defaults to :math:`\\varphi(x) = x`"," if and :math:`\\varphi(x,y) = (\\pi - x)(\\pi - y)`.",""," Examples:",""," >>> from qiskit.circuit.library import ZZFeatureMap"," >>> prep = ZZFeatureMap(2, reps=1)"," >>> print(prep)"," ┌───┐┌──────────────┐"," q_0: ┤ H ├┤ U1(2.0*x[0]) ├──■───────────────────────────────────────■──"," ├───┤├──────────────┤┌─┴─┐┌─────────────────────────────────┐┌─┴─┐"," q_1: ┤ H ├┤ U1(2.0*x[1]) ├┤ X ├┤ U1(2.0*(pi - x[0])*(pi - x[1])) ├┤ X ├"," └───┘└──────────────┘└───┘└─────────────────────────────────┘└───┘",""," >>> from qiskit.circuit.library import EfficientSU2"," >>> classifier = ZZFeatureMap(3) + EfficientSU2(3)"," >>> classifier.num_parameters"," 15"," >>> classifier.parameters # 'x' for the data preparation, 'θ' for the SU2 parameters"," ParameterView(["," ParameterVectorElement(x[0]), ParameterVectorElement(x[1]),"," ParameterVectorElement(x[2]), ParameterVectorElement(θ[0]),"," ParameterVectorElement(θ[1]), ParameterVectorElement(θ[2]),"," ParameterVectorElement(θ[3]), ParameterVectorElement(θ[4]),"," ParameterVectorElement(θ[5]), ParameterVectorElement(θ[6]),"," ParameterVectorElement(θ[7]), ParameterVectorElement(θ[8]),"," ParameterVectorElement(θ[9]), ParameterVectorElement(θ[10]),"," ParameterVectorElement(θ[11]), ParameterVectorElement(θ[12]),"," ParameterVectorElement(θ[13]), ParameterVectorElement(θ[14]),"," ParameterVectorElement(θ[15]), ParameterVectorElement(θ[16]),"," ParameterVectorElement(θ[17]), ParameterVectorElement(θ[18]),"," ParameterVectorElement(θ[19]), ParameterVectorElement(θ[20]),"," ParameterVectorElement(θ[21]), ParameterVectorElement(θ[22]),"," ParameterVectorElement(θ[23])"," ])"," >>> classifier.count_ops()"," OrderedDict([('ZZFeatureMap', 1), ('EfficientSU2', 1)])"," \"\"\"",""," def __init__("," self,"," feature_dimension: int,"," reps: int = 2,"," entanglement: Union[str, List[List[int]], Callable[[int], List[int]]] = \"full\","," data_map_func: Optional[Callable[[np.ndarray], float]] = None,"," parameter_prefix: str = \"x\","," insert_barriers: bool = False,"," name: str = \"ZZFeatureMap\","," ) -> None:"," \"\"\"Create a new second-order Pauli-Z expansion.",""," Args:"," feature_dimension: Number of features."," reps: The number of repeated circuits, has a min. value of 1."," entanglement: Specifies the entanglement structure. 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