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  Bridging the gap between classical and quantum many-body information dynamics. (submitted to Phys. Rev. X)

Pizzi, A., Malz, D., Nunnenkamp, A., & Knolle, J. (submitted). Bridging the gap between classical and quantum many-body information dynamics. (submitted to Phys. Rev. X).

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Genre: Preprint
Other : Preprint arXiv: 2204.03016 Submitted on 6 Apr 2022

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2204.03016v1 (Preprint), 3MB
 
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 Creators:
Pizzi, Andrea, Author
Malz, Daniel1, 2, Author              
Nunnenkamp, Andreas, Author
Knolle, Johannes2, Author
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              
2MCQST - Munich Center for Quantum Science and Technology, External Organizations, ou_3330166              

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Free keywords: Quantum Physics, quant-ph
 Abstract: The fundamental question of how information spreads in closed quantum many-body systems is often addressed through the lens of the bipartite entanglement entropy, a quantity that describes correlations in a comprehensive (nonlocal) way. Among the most striking features of the entanglement entropy are its unbounded linear growth in the thermodynamic limit, its asymptotic extensivity in finite-size systems, and the possibility of measurement-induced phase transitions, all of which have no obvious classical counterpart. Here, we show how these key qualitative features emerge naturally also in classical information spreading, as long as one treats the classical many-body problem on par with the quantum one, that is, by explicitly accounting for the exponentially large classical probability distribution. Our analysis is supported by extensive numerics on prototypical cellular automata and Hamiltonian systems, for which we focus on the classical mutual information and also introduce a `classical entanglement entropy'. Our study sheds light on the nature of information spreading in classical and quantum systems, and opens new avenues for quantum-inspired classical approaches across physics, information theory, and statistics.

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Language(s): eng - English
 Dates: 2022-04-06
 Publication Status: Submitted
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2204.03016v1
 Degree: -

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Project name : ERC Advanced Grant QUENOCOBA
Grant ID : 742102
Funding program : Horizon 2020 (H2020)
Funding organization : European Commission (EC)
Project name : Part of the Munich Quantum Valley
Grant ID : -
Funding program : -
Funding organization : Bavarian state government with funds from the Hightech Agenda Bayern Plus

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