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Quantum Simulation of Light-Front QCD for Jet Quenching in Nuclear Environments

Xiaojun Yao
May 2022
摘要
We develop a framework to simulate jet quenching in nuclear environments on aquantum computer. The formulation is based on the light-front Hamiltoniandynamics of QCD. The Hamiltonian consists of three parts relevant for jetquenching studies: kinetic, diffusion and splitting terms. In the basis made upof $n$-particle states in momentum space, the kinetic Hamiltonian is diagonal.Matrices representing the diffusion and splitting parts are sparse. Thediffusion part of the Hamiltonian depends on classical background gauge fields,which need to be sampled classically before constructing quantum circuits forthe time evolution. The cost of the sampling scales linearly with the timelength of the evolution and the momentum grid volume. The frameworkautomatically keeps track of quantum interference and thus it can be applied tostudy the Landau-Pomeranchuk-Migdal effect in cases with more than twosplittings, which is beyond the scope of state-of-the-art analyses, no matterwhether the medium is static or expanding, thin or thick, hot or cold. We applythis framework to study a toy model and carry out the quantum simulation byusing the IBM Qiskit simulator. The Landau-Pomeranchuk-Migdal effect thatsuppresses the total radiation probability is observed in the quantumsimulation results.
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