Quantum simulations of gauge/string/M-theory and via matrix quantum mechanics

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概要

This talk consists of two parts. In the first part, I am going to talk on our proposal on a new framework for simulating U(k) Yang-Mills theory on a universal quantum computer. This construction utilizes the orbifold lattice formulation proposed by Kaplan, Katz, and Unsal, who originally applied it to supersymmetric gauge theories. Our proposed approach yields a novel perspective on quantum simulation of quantum field theories, carrying certain advantages over the usual Kogut-Susskind formulation. In the second part, I am going to present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to superstring/M-theory and gravitational physics, in an appropriate limit of parameters. Furthermore, for certain states in the Berenstein-Maldacena-Nastase (BMN) matrix model, several supersymmetric quantum field theories dual to superstring/M-theory can be realized on a quantum device. This talk is based on collaborations with Alexander Buser, Hrant Gharibyan, Masanori Hanada and Junyu Liu.