Boson Sampling as a Probe of Chaotic and Integrable Quantum Dynamics
Abstract
Quantum technologies have become a powerful paradigm for quantum information and simulation, while quantum chaos plays a key role in understanding complex quantum dynamics. Integrated photonics offers unique advantages for quantum applications, including high-speed operation, scalability, and programmable unitary transformations. However, probing quantum chaos on integrated photonic platforms remains largely unexplored because a clear connection between programmable photonic dynamics and established chaos diagnostics is still lacking. In this work, we establish Fock-state boson sampling as a practical probe of quantum chaos by exploiting the sensitivity of multiphoton interference to the random-matrix properties of underlying single-particle unitary dynamics. More importantly, we design and fabricate a programmable silicon quantum photonic chip to experimentally implement this framework, achieving the first integrated-photonic demonstration of quantum-chaos probes based on boson sampling. Experimental results show that the three complementary probes proposed in this work, namely the distance to Porter-Thomas statistics, Shannon entropy, and Out-of-Time-Ordered-Correlator-equivalent observables, exhibit close agreement with theoretical predictions and consistently distinguish chaotic and integrable dynamics. Our work provides a scalable route for investigating complex quantum dynamics on programmable photonic platforms while leveraging the intrinsic advantages of boson sampling through multiphoton interference and complex output statistics.
Keywords
Cite
@article{arxiv.2605.25398,
title = {Boson Sampling as a Probe of Chaotic and Integrable Quantum Dynamics},
author = {Yuancheng Zhan and Khen Cohen and Norman T. W. Koo and Kian Hwee Lim and Hui Zhang and Lingxiao Wan and Sanghoon Chae and Ai Qun Liu and Victor M Bastidas and Yaron Oz and Leong-Chuan Kwek},
journal= {arXiv preprint arXiv:2605.25398},
year = {2026}
}