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Quantum chaos and circuit parameter optimization

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Title
Quantum chaos and circuit parameter optimization
Author(s)
Kim, Joonho; Oz, Yaron; Dario Rosa
Publication Date
2023-02
Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v.2023, no.2
Publisher
IOP Publishing Ltd
Abstract
We consider quantum chaos diagnostics of the variational circuit states at random parameters and explore their connection to the circuit expressibility and optimizability. By measuring the operator spreading coefficient and the eigenvalue spectrum of the modular Hamiltonian of the reduced density matrix, we identify the emergence of universal random matrix ensembles in high-depth circuit states. The diagnostics that use the eigenvalue spectrum, e.g. operator spreading and entanglement entropy, turn out to be more accurate measures of the variational quantum algorithm optimization efficiency than those that use the level spacing distribution of the entanglement spectrum, such as r-statistics or spectral form factors.
URI
https://pr.ibs.re.kr/handle/8788114/13093
DOI
10.1088/1742-5468/acb52d
ISSN
1742-5468
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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