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These lecture notes apply statistical mechanics principles to analyze the dynamics of quantum information within random circuits, addressing scenarios where exact descriptions are typically intractable. The work focuses on ideal and monitored systems, offering a theoretical framework for understanding quantum chaos and information scrambling in complex many-body settings. This research advances fundamental knowledge in quantum simulation and the study of non-equilibrium quantum phases.
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Les Houches lectures on random quantum circuits and monitored quantum dynamics

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arXiv:2602.17258v2 Announce Type: replace Abstract: These lecture notes are based on lectures given by the author at the Les Houches 2025 summer school on "Exact Solvability and Quantum Information". The central theme of these notes is to apply the philosophy of statistical mechanics to study the dynamics of quantum information in ideal and monitored random quantum circuits -- for which an exact description of individual realizations is expected to be generically intractable.

Abstract:These lecture notes are based on lectures given by the author at the Les Houches 2025 summer school on "Exact Solvability and Quantum Information". The central theme of these notes is to apply the philosophy of statistical mechanics to study the dynamics of quantum information in ideal and monitored random quantum circuits -- for which an exact description of individual realizations is expected to be generically intractable.

27 pages, 7 figures. Comments welcome

Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech)

arXiv:2602.17258 [quant-ph]

(or arXiv:2602.17258v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2602.17258 Focus to learn more arXiv-issued DOI via DataCite

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