Quantum variational approach to lattice gauge theory at nonzero density

Abstract

The simulation of dense fermionic matters is a long-standing problem in lattice gauge theory. One hopeful solution would be the use of quantum computers. In this paper, digital quantum simulation is designed for lattice gauge theory at nonzero density. The quantum variational algorithm is adopted to obtain the ground state at nonzero density. A benchmark test is performed in the lattice Schwinger model.

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• Toward nuclear physics from lattice QCD on quantum computers
• Quantum sampling for the Euclidean path integral of lattice gauge theory
• Negative string tension of higher-charge Schwinger model via digital quantum simulation
• ${\mathbb{Z}}_3$ lattice gauge theory as a toy model for dense QCD
• Quantum circuit for ${\mathbb{Z}}_3$ lattice gauge theory at nonzero baryon density