Quantum simulation of gauge theory via orbifold lattice
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2020
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| _version_ | 1866914646300033024 |
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| author | Buser, Alexander J. Gharibyan, Hrant Hanada, Masanori Honda, Masazumi Liu, Junyu |
| author_facet | Buser, Alexander J. Gharibyan, Hrant Hanada, Masanori Honda, Masazumi Liu, Junyu |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2011_06576 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Quantum simulation of gauge theory via orbifold lattice Buser, Alexander J. Gharibyan, Hrant Hanada, Masanori Honda, Masazumi Liu, Junyu High Energy Physics - Theory High Energy Physics - Lattice Quantum Physics 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. |
| title | Quantum simulation of gauge theory via orbifold lattice |
| topic | High Energy Physics - Theory High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2011.06576 |