Quantum simulation of gauge theory via orbifold lattice
- URL: http://arxiv.org/abs/2011.06576v3
- Date: Mon, 22 Jan 2024 14:31:42 GMT
- Title: Quantum simulation of gauge theory via orbifold lattice
- Authors: Alexander J. Buser, Hrant Gharibyan, Masanori Hanada, Masazumi Honda,
Junyu Liu
- Abstract summary: We propose a new framework for simulating $textU(k)$ Yang-Mills theory on a universal quantum computer.
We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories.
- Score: 47.28069960496992
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose a new framework for simulating $\text{U}(k)$ Yang-Mills theory on
a universal quantum computer. This construction uses 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. We discuss the application of our
constructions to computing static properties and real-time dynamics of
Yang-Mills theories, from glueball measurements to AdS/CFT, making use of a
variety of quantum information techniques including qubitization, quantum
signal processing, Jordan-Lee-Preskill bounds, and shadow tomography. The
generalizations to certain supersymmetric Yang-Mills theories appear to be
straightforward, providing a path towards the quantum simulation of quantum
gravity via holographic duality.
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