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arXiv · 2409.17349

Quantum circuit for $\mathbb{Z}_3$ lattice gauge theory at nonzero baryon density

Yoshimasa Hidaka·Arata Yamamoto
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Abstract

$\mathbb{Z}_3$ lattice gauge theory is the simplest discrete gauge theory with three-quark bound states, i.e., baryons. Since it has a finite-dimensional Hilbert space, it can be used for testing quantum simulation of lattice gauge theory at nonzero baryon density. We discuss global and local gauge symmetries and their importance in quantum simulation. We perform quantum emulator calculation and demonstrate how to study the ground state property of baryonic matter.

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Yoshimasa Hidaka, Arata Yamamoto. 2025-01-29. Quantum circuit for $\mathbb{Z}_3$ lattice gauge theory at nonzero baryon density. https://doi.org/10.1103/physrevd.111.014510

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