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arXiv · 2410.18754

Benchmarking quantum chaos from geometric complexity

Arpan Bhattacharyya·Suddhasattwa Brahma·Satyaki Chowdhury·Xiancong Luo
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Abstract

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.

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Arpan Bhattacharyya, Suddhasattwa Brahma, Satyaki Chowdhury, Xiancong Luo. 2024-10-24. Benchmarking quantum chaos from geometric complexity. https://doi.org/10.1007/jhep03(2025)177

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