Quantum variational approach to lattice gauge theory at nonzero density

TL;DR

This paper proposes a quantum variational algorithm for simulating lattice gauge theories at nonzero density, demonstrating its effectiveness through a benchmark in the lattice Schwinger model.

Contribution

It introduces a quantum variational approach tailored for lattice gauge theories at finite density, addressing a longstanding challenge in simulating dense fermionic matter.

Findings

Successful implementation of the quantum variational algorithm in the lattice Schwinger model

Demonstrated potential of quantum computing for nonzero density lattice gauge simulations

Benchmark results show promising accuracy and feasibility

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.