Switchable Particle Statistics with an Embedding Quantum Simulator

TL;DR

This paper introduces a method to dynamically switch particle statistics between bosons and fermions within an embedding quantum simulator, enabling new quantum simulation capabilities and symmetry operations.

Contribution

It presents a novel protocol for in situ switching of particle statistics using an embedding quantum simulator, extendable to larger systems and various quantum platforms.

Findings

Demonstrated switchable particle statistics with few-qubit examples

Protocol is adaptable to platforms like trapped ions, photonics, and superconducting circuits

Enhances quantum simulation toolbox with unphysical operations and symmetry transformations

Abstract

We propose the implementation of a switch of particle statistics with an embedding quantum simulator. By encoding both Bose-Einstein and Fermi-Dirac statistics into an enlarged Hilbert space, the statistics of quantum particles may be changed in situ during the time evolution, from bosons to fermions and from fermions to bosons, as many times as desired. We illustrate our proposal with few-qubit examples, although the protocol is straightforwardly extendable to larger numbers of particles. This proposal can be implemented on different quantum platforms such as trapped ions, quantum photonics, and superconducting circuits, among others. The possibility to implement permutation symmetrization and antisymmetrization of quantum particles enhances the toolbox of quantum simulations, for unphysical operations as well as for symmetry transformations.