Source code for qiskit.aqua.operators.primitive_ops.primitive_op

# -*- coding: utf-8 -*-

# This code is part of Qiskit.
#
# (C) Copyright IBM 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.

""" PrimitiveOp Class """

from typing import Optional, Union, Set
import logging
import numpy as np
from scipy.sparse import spmatrix
import scipy.linalg

from qiskit import QuantumCircuit
from qiskit.circuit import Instruction, ParameterExpression
from qiskit.quantum_info import Pauli, SparsePauliOp
from qiskit.quantum_info import Operator as MatrixOperator

from ..operator_base import OperatorBase
from ..legacy.base_operator import LegacyBaseOperator

logger = logging.getLogger(__name__)


[docs]class PrimitiveOp(OperatorBase): r""" A class for representing basic Operators, backed by Operator primitives from Terra. This class (and inheritors) primarily serves to allow the underlying primitives to "flow" - i.e. interoperability and adherence to the Operator formalism - while the core computational logic mostly remains in the underlying primitives. For example, we would not produce an interface in Terra in which ``QuantumCircuit1 + QuantumCircuit2`` equaled the Operator sum of the circuit unitaries, rather than simply appending the circuits. However, within the Operator flow summing the unitaries is the expected behavior. Note that all mathematical methods are not in-place, meaning that they return a new object, but the underlying primitives are not copied. """ @staticmethod # pylint: disable=unused-argument def __new__(cls, primitive: Union[Instruction, QuantumCircuit, list, np.ndarray, spmatrix, MatrixOperator, Pauli] = None, coeff: Optional[Union[int, float, complex, ParameterExpression]] = 1.0) -> OperatorBase: """ A factory method to produce the correct type of PrimitiveOp subclass based on the primitive passed in. Primitive and coeff arguments are passed into subclass's init() as-is automatically by new(). Args: primitive (Instruction, QuantumCircuit, list, np.ndarray, spmatrix, MatrixOperator, Pauli): The operator primitive being wrapped. coeff (int, float, complex, ParameterExpression): A coefficient multiplying the primitive. Returns: The appropriate PrimitiveOp subclass for ``primitive``. Raises: TypeError: Unsupported primitive type passed. """ if cls.__name__ != PrimitiveOp.__name__: return super().__new__(cls) # pylint: disable=cyclic-import,import-outside-toplevel if isinstance(primitive, (Instruction, QuantumCircuit)): from .circuit_op import CircuitOp return CircuitOp.__new__(CircuitOp) if isinstance(primitive, (list, np.ndarray, spmatrix, MatrixOperator)): from .matrix_op import MatrixOp return MatrixOp.__new__(MatrixOp) if isinstance(primitive, Pauli): from .pauli_op import PauliOp return PauliOp.__new__(PauliOp) raise TypeError('Unsupported primitive type {} passed into PrimitiveOp ' 'factory constructor'.format(type(primitive))) def __init__(self, primitive: Union[Instruction, QuantumCircuit, list, np.ndarray, spmatrix, MatrixOperator, Pauli] = None, coeff: Optional[Union[int, float, complex, ParameterExpression]] = 1.0) -> None: """ Args: primitive (Instruction, QuantumCircuit, list, np.ndarray, spmatrix, MatrixOperator, Pauli): The operator primitive being wrapped. coeff (int, float, complex, ParameterExpression): A coefficient multiplying the primitive. """ self._primitive = primitive self._coeff = coeff @property def primitive(self) -> Union[Instruction, QuantumCircuit, list, np.ndarray, spmatrix, MatrixOperator, Pauli]: """ The primitive defining the underlying function of the Operator. Returns: The primitive object. """ return self._primitive @property def coeff(self) -> Union[int, float, complex, ParameterExpression]: """ The scalar coefficient multiplying the Operator. Returns: The coefficient. """ return self._coeff @property def num_qubits(self) -> int: raise NotImplementedError
[docs] def primitive_strings(self) -> Set[str]: raise NotImplementedError
[docs] def add(self, other: OperatorBase) -> OperatorBase: raise NotImplementedError
[docs] def adjoint(self) -> OperatorBase: raise NotImplementedError
[docs] def equals(self, other: OperatorBase) -> bool: raise NotImplementedError
[docs] def mul(self, scalar: Union[int, float, complex, ParameterExpression]) -> OperatorBase: if not isinstance(scalar, (int, float, complex, ParameterExpression)): raise ValueError('Operators can only be scalar multiplied by float or complex, not ' '{} of type {}.'.format(scalar, type(scalar))) # Need to return self.__class__ in case the object is one of the inherited OpPrimitives return self.__class__(self.primitive, coeff=self.coeff * scalar)
[docs] def tensor(self, other: OperatorBase) -> OperatorBase: raise NotImplementedError
[docs] def tensorpower(self, other: int) -> Union[OperatorBase, int]: # Hack to make Z^(I^0) work as intended. if other == 0: return 1 if not isinstance(other, int) or other < 0: raise TypeError('Tensorpower can only take positive int arguments') temp = PrimitiveOp(self.primitive, coeff=self.coeff) for _ in range(other - 1): temp = temp.tensor(self) return temp
[docs] def compose(self, other: OperatorBase) -> OperatorBase: raise NotImplementedError
def _check_zero_for_composition_and_expand(self, other: OperatorBase) -> OperatorBase: if not self.num_qubits == other.num_qubits: # pylint: disable=cyclic-import,import-outside-toplevel from ..operator_globals import Zero if other == Zero: # Zero is special - we'll expand it to the correct qubit number. other = Zero.__class__('0' * self.num_qubits) else: raise ValueError( 'Composition is not defined over Operators of different dimensions, {} and {}, ' 'respectively.'.format(self.num_qubits, other.num_qubits)) return other
[docs] def power(self, exponent: int) -> OperatorBase: if not isinstance(exponent, int) or exponent <= 0: raise TypeError('power can only take positive int arguments') temp = PrimitiveOp(self.primitive, coeff=self.coeff) for _ in range(exponent - 1): temp = temp.compose(self) return temp
[docs] def exp_i(self) -> OperatorBase: """ Return Operator exponentiation, equaling e^(-i * op)""" # pylint: disable=cyclic-import,import-outside-toplevel from qiskit.aqua.operators import EvolvedOp return EvolvedOp(self)
[docs] def log_i(self, massive: bool = False) -> OperatorBase: """Return a ``MatrixOp`` equivalent to log(H)/-i for this operator H. This function is the effective inverse of exp_i, equivalent to finding the Hermitian Operator which produces self when exponentiated.""" # pylint: disable=cyclic-import from ..operator_globals import EVAL_SIG_DIGITS from .matrix_op import MatrixOp return MatrixOp(np.around(scipy.linalg.logm(self.to_matrix(massive=massive)) / -1j, decimals=EVAL_SIG_DIGITS))
def __str__(self) -> str: raise NotImplementedError def __repr__(self) -> str: return "{}({}, coeff={})".format(type(self).__name__, repr(self.primitive), self.coeff)
[docs] def eval(self, front: Union[str, dict, np.ndarray, OperatorBase] = None) -> Union[OperatorBase, float, complex]: raise NotImplementedError
[docs] def assign_parameters(self, param_dict: dict) -> OperatorBase: param_value = self.coeff if isinstance(self.coeff, ParameterExpression): unrolled_dict = self._unroll_param_dict(param_dict) if isinstance(unrolled_dict, list): # pylint: disable=import-outside-toplevel from ..list_ops.list_op import ListOp return ListOp([self.assign_parameters(param_dict) for param_dict in unrolled_dict]) if self.coeff.parameters <= set(unrolled_dict.keys()): binds = {param: unrolled_dict[param] for param in self.coeff.parameters} param_value = float(self.coeff.bind(binds)) return self.__class__(self.primitive, coeff=param_value)
# Nothing to collapse here.
[docs] def reduce(self) -> OperatorBase: return self
[docs] def to_matrix(self, massive: bool = False) -> np.ndarray: raise NotImplementedError
[docs] def to_matrix_op(self, massive: bool = False) -> OperatorBase: """ Returns a ``MatrixOp`` equivalent to this Operator. """ # pylint: disable=import-outside-toplevel prim_mat = self.__class__(self.primitive).to_matrix(massive=massive) from .matrix_op import MatrixOp return MatrixOp(prim_mat, coeff=self.coeff)
[docs] def to_legacy_op(self, massive: bool = False) -> LegacyBaseOperator: mat_op = self.to_matrix_op(massive=massive) return mat_op.to_legacy_op(massive=massive)
[docs] def to_instruction(self) -> Instruction: """ Returns an ``Instruction`` equivalent to this Operator. """ raise NotImplementedError
[docs] def to_circuit(self) -> QuantumCircuit: """ Returns a ``QuantumCircuit`` equivalent to this Operator. """ qc = QuantumCircuit(self.num_qubits) qc.append(self.to_instruction(), qargs=range(self.primitive.num_qubits)) return qc.decompose()
[docs] def to_circuit_op(self) -> OperatorBase: """ Returns a ``CircuitOp`` equivalent to this Operator. """ # pylint: disable=import-outside-toplevel from .circuit_op import CircuitOp return CircuitOp(self.to_circuit(), coeff=self.coeff)
# TODO change the PauliOp to depend on SparsePauliOp as its primitive
[docs] def to_pauli_op(self, massive: bool = False) -> OperatorBase: """ Returns a sum of ``PauliOp`` s equivalent to this Operator. """ mat_op = self.to_matrix_op(massive=massive) sparse_pauli = SparsePauliOp.from_operator(mat_op.primitive) if not sparse_pauli.to_list(): # pylint: disable=import-outside-toplevel from ..operator_globals import I return (I ^ self.num_qubits) * 0.0 return sum([PrimitiveOp(Pauli.from_label(label), coeff.real if coeff == coeff.real else coeff) for (label, coeff) in sparse_pauli.to_list()]) * self.coeff