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Quantum sampling for the Euclidean path integral of lattice gauge theory
A. Yamamoto·January 29, 2022·DOI: 10.1103/PhysRevD.105.094501
Physics
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Abstract
Although the Hamiltonian formalism is so far favored for quantum computation of lattice gauge theory, the path integral formalism would never be useless. The advantages of the path integral formalism are the knowl-edge and experience accumulated by classical lattice simulation and manifest Lorentz invariance. We discuss quantum computation of lattice gauge theory in the path integral formalism. We utilize a quantum sampling algorithm to generate gauge configurations, and demonstrate a benchmark test of Z 2 lattice gauge theory on a four-dimensional hypercube.