Unpredictability and entanglement in open quantum systems

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OriginalspracheEnglisch
Aufsatznummer093034
FachzeitschriftNew Journal of Physics
Jahrgang25
Ausgabenummer9
PublikationsstatusVeröffentlicht - 15 Sept. 2023

Abstract

We investigate dynamical many-body systems capable of universal computation, which leads to their properties being unpredictable unless the dynamics is simulated from the beginning to the end. Unpredictable behavior can be quantitatively assessed in terms of a data compression of the states occurring during the time evolution, which is closely related to their Kolmogorov complexity. We analyze a master equation embedding of classical cellular automata and demonstrate the existence of a phase transition between predictable and unpredictable behavior as a function of the random noise introduced by the embedding. We then turn to have this dynamics competing with a second process inducing quantum fluctuations and dissipatively driving the system to a highly entangled steady state. Strikingly, for intermediate strength of the quantum fluctuations, we find that both unpredictability and quantum entanglement can coexist even in the long time limit. Finally, we show that the required many-body interactions for the cellular automaton embedding can be efficiently realized within a variational quantum simulator platform based on ultracold Rydberg atoms with high fidelity.

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Unpredictability and entanglement in open quantum systems. / Weimer, Hendrik; Kazemi, Javad.
in: New Journal of Physics, Jahrgang 25, Nr. 9, 093034, 15.09.2023.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Weimer H, Kazemi J. Unpredictability and entanglement in open quantum systems. New Journal of Physics. 2023 Sep 15;25(9):093034. doi: 10.1088/1367-2630/acf151
Weimer, Hendrik ; Kazemi, Javad. / Unpredictability and entanglement in open quantum systems. in: New Journal of Physics. 2023 ; Jahrgang 25, Nr. 9.
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