Z3 gauge theory coupled to fermions and quantum computing

Abhishek Kodumagulla; Michael McGuigan; Mohammad Hassan; Ronak Desai; Yuan Feng

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Z3 gauge theory coupled to fermions and quantum computing

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arxiv 2106.00549 v1 pith:KR6LNYVK submitted 2021-06-01 quant-ph hep-thnucl-th

Ronak Desai , Yuan Feng , Mohammad Hassan , Abhishek Kodumagulla , Michael McGuigan This is my paper

classification quant-phhep-thnucl-th

keywords quantumablecomputerdensityfermionsfinitegaugestate

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We study the Z3 gauge theory with fermions on the quantum computer using the Variational Quantum Eigensolver (VQE) algorithm with IBM QISKit software. Using up to 9 qubits we are able to obtain accurate results for the ground state energy. Introducing nonzero chemical potential we are able to determine the Equation of State (EOS) for finite density on the quantum computer. We discuss possible realizations of quantum advantage for this system over classical computers with regards to finite density simulations and the fermion sign problem.

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