Quark jet evolution: from classical to quantum simulation

TL;DR

This paper reviews the development of nonperturbative computational methods for in-medium quark jet evolution, highlighting the transition from classical to quantum simulation and demonstrating a quantum circuit implementation for jet evolution in a stochastic background.

Contribution

It introduces a quantum simulation framework for in-medium quark jet evolution using the tBLFQ approach and quantum computing techniques, advancing the computational tools in this field.

Findings

Quantum circuit successfully tracks jet evolution in stochastic background.

Simulation results show medium-induced jet modifications.

Provides a baseline for future quantum computing studies in jet physics.

Abstract

Quark jet provides one of the best ways to probe the matter produced in ultrarelativistic high-energy collisions, from cold nuclear matter to the hot quark-gluon plasma. In this proceeding paper, we review a series of works on the development of nonperturbative computational framework of in-medium quark jet evolution, from classical to quantum simulation. The application of the time-dependent Basis Light-front Quantization (tBLFQ), a nonperturbative computational approach based on light-front Hamiltonian formalism, to in-medium jet evolution enables a fully quantum treatment to the jet state on the amplitude level. Based on the tBLFQ framework, with applying novel quantum technologies, we have constructed a digital quantum circuit that tracks the evolution of a multi-particle jet probe within a stochastic color background field. With the obtained simulation results, we extracted the medium induced modification in terms of jet momentum broadening and gluon production. These studies provide a baseline for future works of in-medium jet evolution using quantum computers.