Para-particle oscillator simulations on a trapped ion quantum computer

TL;DR

This paper demonstrates the digital quantum simulation of para-particle oscillators using a trapped ion quantum computer, mapping para-particle states to qubits and experimentally validating the approach.

Contribution

It introduces a method to simulate para-particle oscillators on a quantum computer by mapping them to an XY model and demonstrates experimental control over these systems.

Findings

Successful digital simulation of para-fermions and para-bosons.

Gate depth grows polynomially with qubits, indicating scalability.

Comparison shows competitive performance with analog quantum simulations.

Abstract

Deformed oscillators allow for a generalization of the standard fermions and bosons, namely, for the description of para-particles. Such particles, while indiscernible in nature, can represent good candidates for descriptions of physical phenomena like topological phases of matter. Here, we report the digital quantum simulation of para-particle oscillators by mapping para-particle states to the state of a qubit register, which allow us to identify the para-particle oscillator Hamiltonian as an $XY$ model, and further digitize the system onto a universal set of gates. In both instances, the gate depth grows polynomially with the number of qubits used. To establish the validity of our results, we experimentally simulate the dynamics of para-fermions and para-bosons, demonstrating full control of para-particle oscillators on a quantum computer. Furthermore, we compare the overall performance of the digital simulation of dynamics of the driven para-Fermi oscillator to a recent analog quantum simulation result.