Towards few-body QCD on a quantum computer

TL;DR

This paper introduces a compact quantum encoding scheme for simulating few-body QCD systems on quantum computers, enabling exponential compression and efficient implementation of antisymmetrization and exponentiation algorithms.

Contribution

It presents a novel encoding method that maps particles to quantum registers, significantly reducing memory requirements for simulating low-particle-number QCD systems.

Findings

Achieved exponential compression over direct encoding methods.

Successfully implemented antisymmetrization algorithms.

Demonstrated the encoding on a two-register system.

Abstract

Quantum computers are promising tools for the simulation of many-body systems, and among those, QCD stands out by its rich phenomenology. Every simulation starts with a codification, and here we succently review a newly developed compact encoding based on the identification between registers and particles; the quantum memory is divided into registers, and to each we associate a Hilbert space of dimension the number of degrees of freedom of the codified particles. In this way we gain an exponential compression over direct encodings for a low number of particles with many degrees of freedom. As an example we apply this encoding on a two-register memory and implement antisymmetrization and exponentiation algorithms.