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Effective Matrix Model for Gauge Theories at Finite Temperature and Density using Quantum Computing

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arxiv 2106.02196 v1 pith:G7QU64UK submitted 2021-06-04 quant-ph hep-thnucl-th

classification quant-phhep-thnucl-th
keywords effectivematrixmodelquantumfermionsfinitegaugetemperature
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the effective matrix model for for gauge fields and fermions on a quantum computer. We use the Variational Quantum Eigensolver (VQE) using IBM QISKit for the effective matrix model for SU(2) and SU(3) including fermions in the fundamental representation. For SU(2) we study the effects of finite temperature and nonzero chemical potential. In all cases we find excellent agreement with the classical computation.

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