Quantum Chaos and Circuit Parameter Optimization

• URL: http://arxiv.org/abs/2201.01452v1
• Date: Wed, 5 Jan 2022 04:55:15 GMT
• Title: Quantum Chaos and Circuit Parameter Optimization
• Authors: Joonho Kim, Yaron Oz and Dario Rosa
• Abstract summary: We study quantum chaos diagnostics of variational circuit states at random parameters. We construct different layer unitaries corresponding to the GOE and GUE distributions and quantify their VQA performance.
• Score: 4.176752121302988
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We explore quantum chaos diagnostics of variational circuit states at random parameters and study their correlation with the circuit expressibility and the optimization of control parameters. By measuring the operator spreading coefficient and the eigenvalue spectrum of the modular Hamiltonian of the reduced density matrix, we identify the universal structure of random matrix models in high-depth circuit states. We construct different layer unitaries corresponding to the GOE and GUE distributions and quantify their VQA performance. Our study also highlights a potential tension between the OTOC and BGS-type diagnostics of quantum chaos.

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