Bridging the gap between classical and quantum many-body information dynamics

Autor(en)

Andrea Pizzi, Daniel Malz, Andreas Nunnenkamp, Johannes Knolle

Abstrakt

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 avenues for quantum-inspired classical approaches across physics, information theory, and statistics.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Harvard University, University of Cambridge, Munich Center for Quantum Science and Technology (MCQST), Technische Universität München, Imperial College London, Max-Planck-Institut für Quantenoptik

Journal

Physical Review B

Band

106

Anzahl der Seiten

15

ISSN

2469-9950

DOI

https://doi.org/10.1103/PhysRevB.106.214303

Publikationsdatum

12-2022

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103029 Statistische Physik

ASJC Scopus Sachgebiete

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/aee93e68-06cb-4075-b9c7-1ed033e7b86e