Accelerated quantum circuit Monte-Carlo simulation for heavy quark thermalization

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.

10 pages, 9 figures

References in corpus (26)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Quantum Simulation for High Energy Physics
• The effects of mixedness and entanglement on the properties of the entropic uncertainty in Heisenberg model with Dzyaloshinski-Moriya interaction
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• Comparing the drag force on heavy quarks in N=4 super-Yang-Mills theory and QCD
• Anomaly detection in high-energy physics using a quantum autoencoder
• Real-time chiral dynamics from a digital quantum simulation
• Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Simulating jets and heavy quarks in the Glasma using the colored particle-in-cell method
• Quantum simulation of open quantum systems in heavy-ion collisions
• Partonic collinear structure by quantum computing
• Quark Mass Dependence of Heavy Quark Diffusion Coefficient from Lattice QCD
• Quantum Simulation of Chiral Phase Transitions
• Medium induced jet broadening in a quantum computer
• Heavy quark diffusion coefficient in heavy-ion collisions via kinetic theory
• Quantum simulation of in-medium QCD jets: momentum broadening, gluon production, and entropy growth
• Quantum partonic transport in QCD matter
• Collider Events on a Quantum Computer
• Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD
• Heavy quark radiation in an anisotropic hot QCD medium
• Open charm phenomenology with a multi-stage approach to relativistic heavy-ion collisions
• Non-equilibrium charmonium regeneration in strongly coupled quark-gluon plasma
• Quantum-Enhanced Simulation-Based Optimization
• Machine learning approach to analyze heavy quark diffusion coefficient in relativistic heavy-ion collisions

Cited by in corpus (8)

• Quantum computation in fermionic thermal field theories
• Anomalous diffusion of the heavy quarks through the fractional Langevin equation
• Study of the heavy quarks energy loss through medium polarization, elastic collision and radiative processes
• Subdiffusion of heavy quark in hot QCD matter by the fractional Langevin equation
• Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory
• Quantum algorithm for copula-based risk aggregation using orthogonal series density estimation
• Dividing quantum circuits for time evolution of stochastic processes by orthogonal series density estimation
• Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence