Boson Sampling as a Probe of Chaotic and Integrable Quantum Dynamics

• URL: http://arxiv.org/abs/2605.25398v1
• Date: Mon, 25 May 2026 03:44:41 GMT
• Title: Boson Sampling as a Probe of Chaotic and Integrable Quantum Dynamics
• Abstract summary: Integrated photonics offers unique advantages for quantum applications.<n>In this work, we establish Fock-state boson sampling as a practical probe of quantum chaos.<n>We achieve the first integrated-photonic demonstration of quantum-chaos probes based on boson sampling.
• Score: 3.490038494159432
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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