Accelerated quantum circuit Monte-Carlo simulation for heavy quark thermalization
- URL: http://arxiv.org/abs/2312.16294v2
- Date: Tue, 2 Apr 2024 16:59:11 GMT
- Title: Accelerated quantum circuit Monte-Carlo simulation for heavy quark thermalization
- Authors: Xiaojian Du, Wenyang Qian,
- Abstract summary: We introduce and formalize an accelerated quantum circuit Monte-Carlo framework to simulate heavy quark thermalization.
With simplified drag and diffusion coefficients connected by Einstein's relation, we simulate the thermalization of a heavy quark in isotropic and anisotropic mediums.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: Thermalization of heavy quarks in the quark-gluon plasma (QGP) is one of the most promising phenomena for understanding the strong interaction. The energy loss and momentum broadening at low momentum can be well described by a stochastic process with drag and diffusion terms. Recent advances in quantum computing, in particular quantum amplitude estimation (QAE), promise to provide a quadratic speed-up in simulating stochastic processes. We introduce and formalize an accelerated quantum circuit Monte-Carlo (aQCMC) framework to simulate heavy quark thermalization. With simplified drag and diffusion coefficients connected by Einstein's relation, we simulate the thermalization of a heavy quark in isotropic and anisotropic mediums using an ideal quantum simulator and compare that to thermal expectations. With Grover-like QAE, we calculate physical observables with quadratically fewer resources, which is a boost over the classical MC simulation that usually requires a large sampling number at the same estimation accuracy.
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