Quantum simulation of gauge theory via orbifold lattice
| Autor: | Buser, Alexander J., Gharibyan, Hrant, Hanada, Masanori, Honda, Masazumi, Liu, Junyu |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | JHEP 2109 (2021) 034 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP09(2021)034 |
| Popis: | 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. Comment: 38 pages. v2: accepted version. v3: a few minor corrections |
| Databáze: | arXiv |
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