Quantum Optimal Control for Pure-State Preparation Using One Initial State
Abstract
This paper presents a framework for solving the pure-state preparation problem using numerical optimal control. As an example, we consider the case where a number of qubits are dispersively coupled to a readout cavity. We model open system quantum dynamics using the Markovian Lindblad master equation, driven by external control pulses. The main result of this paper develops a basis of density matrices (a parameterization) where each basis element is a density matrix itself. Utilizing a specific objective function, we show how an ensemble of the basis elements can be used as a single initial state throughout the optimization process - independent of the system dimension. We apply the general framework to the specific application of ground-state reset of one and two qubits coupled to a readout cavity.
Cite
@article{arxiv.2106.09148,
title = {Quantum Optimal Control for Pure-State Preparation Using One Initial State},
author = {Stefanie Günther and N. Anders Petersson and Jonathan L. DuBois},
journal= {arXiv preprint arXiv:2106.09148},
year = {2024}
}