Benchmarking quantum chaos from geometric complexity
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908284686958592 |
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| author | Bhattacharyya, Arpan Brahma, Suddhasattwa Chowdhury, Satyaki Luo, Xiancong |
| author_facet | Bhattacharyya, Arpan Brahma, Suddhasattwa Chowdhury, Satyaki Luo, Xiancong |
| contents | Recent studies have shown that there is a strong interplay between quantum complexity and quantum chaos. In this work, we consider a new method to study geometric complexity for interacting non-Gaussian quantum mechanical systems to benchmark the quantum chaos in a well-known oscillator model. In particular, we study the circuit complexity for the unitary time-evolution operator of a non-Gaussian bosonic quantum mechanical system. Our results indicate that, within some limitations, geometric complexity can indeed be a good indicator of quantum chaos. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18754 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Benchmarking quantum chaos from geometric complexity Bhattacharyya, Arpan Brahma, Suddhasattwa Chowdhury, Satyaki Luo, Xiancong High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics Recent studies have shown that there is a strong interplay between quantum complexity and quantum chaos. In this work, we consider a new method to study geometric complexity for interacting non-Gaussian quantum mechanical systems to benchmark the quantum chaos in a well-known oscillator model. In particular, we study the circuit complexity for the unitary time-evolution operator of a non-Gaussian bosonic quantum mechanical system. Our results indicate that, within some limitations, geometric complexity can indeed be a good indicator of quantum chaos. |
| title | Benchmarking quantum chaos from geometric complexity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2410.18754 |