Quantum circuits for spin and flavor degrees of freedom of quarks forming nucleons

TL;DR

This paper presents quantum circuits and algorithms for simulating the spin and flavor states of nucleons, specifically protons and neutrons, using quark models within symmetry groups, and discusses their implementation in photonic networks.

Contribution

The paper introduces explicit quantum algorithms for preparing nucleon states from quark constituents and estimates the resources needed for such simulations, including a photonic network design.

Findings

Quantum algorithms for nucleon state preparation

Resource estimation for quantum simulation of nucleons

Potential implementation in photonic quantum networks

Abstract

We discuss the quantum-circuit realization of the state of a nucleon in the scope of simple symmetry groups. Explicit algorithms are presented for the preparation of the state of a neutron or a proton as resulting from the composition of their quark constituents. We estimate the computational resources required for such a simulation and design a photonic network for its implementation. Moreover, we highlight that current work on three-body interactions in lattices of interacting qubits, combined with the measurement-based paradigm for quantum information processing, may also be suitable for the implementation of these nucleonic spin states.