TrotterQRTE

class TrotterQRTE(product_formula=None, estimator=None)

Bases: qiskit.algorithms.time_evolvers.real_time_evolver.RealTimeEvolver

Quantum Real Time Evolution using Trotterization. Type of Trotterization is defined by a ProductFormula provided.

Examples

from qiskit.opflow import PauliSumOp
from qiskit.quantum_info import Pauli, SparsePauliOp
from qiskit import QuantumCircuit
from qiskit.algorithms import TimeEvolutionProblem
from qiskit.algorithms.time_evolvers import TrotterQRTE
from qiskit.primitives import Estimator

operator = PauliSumOp(SparsePauliOp([Pauli("X"), Pauli("Z")]))
initial_state = QuantumCircuit(1)
time = 1
evolution_problem = TimeEvolutionProblem(operator, time, initial_state)
# LieTrotter with 1 rep
estimator = Estimator()
trotter_qrte = TrotterQRTE(estimator=estimator)
evolved_state = trotter_qrte.evolve(evolution_problem).evolved_state

Parameters

• product_formula (ProductFormula | None) – A Lie-Trotter-Suzuki product formula. If None provided, the Lie-Trotter first order product formula with a single repetition is used.

• estimator (BaseEstimator | None) – An estimator primitive used for calculating expectation values of TimeEvolutionProblem.aux_operators.

Methods

evolve	Evolves a quantum state for a given time using the Trotterization method based on a product formula provided.
supports_aux_operators	Whether computing the expectation value of auxiliary operators is supported.

Attributes

estimator

Returns an estimator.

Return type

BaseEstimator | None

product_formula

Returns a product formula.

Return type

ProductFormula