Quantum Simulation of Collective Neutrino Oscillations using Dicke States

TL;DR

This paper introduces a quantum simulation approach for dense neutrino gases using Dicke states, optimizing qubit efficiency and exploiting system symmetries, with demonstrated success on classical and quantum hardware.

Contribution

The paper develops a new class of qubit-efficient algorithms based on Dicke states and $su(2)$ algebra for simulating collective neutrino oscillations.

Findings

Algorithms perform well on classical hardware.

Algorithms demonstrate excellent performance on quantum hardware.

Exploiting symmetries improves simulation efficiency.

Abstract

In dense neutrino gases, which exist for instance in supernovae, the flavour states of different neutrinos may become entangled with one another. The theoretical description of such systems may therefore call for simulations on a quantum computer. Existing quantum simulations of simple toy systems are not optimal in the sense that they do not fully exploit the symmetries of the system. Here, we propose a new class of qubit-efficient algorithms based on Dicke states and the $su(2)$ spin algebra. We demonstrate the excellent performance of these algorithms both on classical and on quantum hardware.