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Benchmarking quantum chaos from geometric complexity

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arxiv 2410.18754 v2 pith:W3YTXYWP submitted 2024-10-24 hep-th gr-qcquant-ph

classification hep-thgr-qcquant-ph
keywords quantumcomplexitychaosgeometricmechanicalnon-gaussianbenchmarkbenchmarking
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information

    quant-ph 2025-02 conditional novelty 5.0 of 10

    Time-averaged quantum Fisher information in Krylov space changes slope at the PT transition (gamma=1) and saturates near the entanglement transition (gamma=2) in the monitored SSH model, suggesting it as a probe of both.

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