Accelerated Quantum Circuit Monte-Carlo Simulation for Heavy Quark Thermalization

• URL: http://arxiv.org/abs/2410.16863v1
• Date: Tue, 22 Oct 2024 10:06:13 GMT
• Title: Accelerated Quantum Circuit Monte-Carlo Simulation for Heavy Quark Thermalization
• Authors: Wenyang Qian,
• Abstract summary: We propose an accelerated quantum circuit Monte-Carlo framework to simulate heavy quark thermalization. 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.
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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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