Accelerated Quantum Circuit Monte-Carlo Simulation for Heavy Quark Thermalization

Wenyang Qian

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arXiv · 2410.16863

Accelerated Quantum Circuit Monte-Carlo Simulation for Heavy Quark Thermalization

Wenyang Qian

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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.

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Wenyang Qian. 2024-10-22. Accelerated Quantum Circuit Monte-Carlo Simulation for Heavy Quark Thermalization. https://arxiv.org/abs/2410.16863

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