Quantum simulation of quantum mechanical system with spatial noncommutativity
Abstract
Quantum simulation has become a promising avenue of research that allows one to simulate and gain insight into the models of High Energy Physics whose experimental realizations are either complicated or inaccessible with current technology. We demonstrate the quantum simulation of such a model, a quantum mechanical system with spatial noncommutativity, which is inspired by the works in Noncommutative Geometry and Noncommutative Field theory for a universal quantum computer. We use the novel group theoretical formalism to map the Hamiltonian of such a noncommutative quantum system into the ordinary quantum mechanical Hamiltonian and then carry out the quantum simulation using the Trotter-Suzuki product formula. Furthermore, we distinguish the impact of the noncommutativity parameter on the quantum simulation, especially on the Trotter error, and point out how its sizable value affects the simulation.
Cite
@article{arxiv.2211.08338,
title = {Quantum simulation of quantum mechanical system with spatial noncommutativity},
author = {S. Hasibul Hassan Chowdhury and Talal Ahmed Chowdhury and Salah Nasri and Omar Ibna Nazim and Shaikh Saad},
journal= {arXiv preprint arXiv:2211.08338},
year = {2023}
}
Comments
Discussion on entanglement entropy and noisy simulation added, accepted version