Arbitrary state preparation in quantum harmonic oscillators using neural networks
Abstract
Preparing quantum states is a fundamental task in various quantum algorithms. In particular, state preparation in quantum harmonic oscillators (HOs) is crucial for the creation of qudits and the implementation of high-dimensional algorithms. In this work, we develop a methodology for preparing quantum states in HOs. The HO is coupled to an auxiliary qubit to ensure that any state can be prepared in the oscillator [J. Math. Phys. 59, 072101]. By applying a sequence of square pulses to both the qubit and the HO, we drive the system from an initial state to a target state. To determine the required pulses, we use a neural network that predicts the pulse parameters needed for state preparation. Specifically, we present results for preparing qubit and qutrit states in the HO, achieving average fidelities of 99.9% and 97.0%, respectively.
Cite
@article{arxiv.2502.04598,
title = {Arbitrary state preparation in quantum harmonic oscillators using neural networks},
author = {Nicolas Parra-A and Vladimir Vargas-Calderón and Herbert Vinck-Posada},
journal= {arXiv preprint arXiv:2502.04598},
year = {2026}
}