Accelerated Quantum Circuit Monte-Carlo Simulation for Heavy Quark Thermalization

TL;DR

This paper introduces an accelerated quantum circuit Monte-Carlo framework utilizing quantum amplitude estimation to efficiently simulate heavy quark thermalization in quark-gluon plasma, reducing computational resources needed.

Contribution

The paper presents a novel quantum algorithm framework that significantly accelerates heavy quark thermalization simulations using quantum amplitude estimation.

Findings

Quantum simulation matches analytical thermalization expectations.

Quadratic resource reduction achieved with the new method.

Effective in both 1D and 2D medium models.

Abstract

Heavy quark thermalization in the quark-gluon plasma (QGP) is one of the most promising phenomena for understanding the strong interaction, where their energy loss and momentum broadening at low momentum can be well described by a stochastic process with drag and diffusion terms. We propose an accelerated quantum circuit Monte-Carlo (aQCMC) framework that ultilizes the quantum amplitude estimation (QAE) algorithm to simulate heavy quark thermalization with quadratically less resources. Specifically, we simulate the thermalization of a heavy quark in both 1D and 2D and in isotropic and anisotropic mediums using an ideal quantum simulator and compare that to analytical thermal expectations.