Unpredictability and entanglement in open quantum systems

authored by
Hendrik Weimer, Javad Kazemi
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.

Organisation(s)
Institute of Theoretical Physics
QuantumFrontiers
CRC 1227 Designed Quantum States of Matter (DQ-mat)
Type
Article
Journal
New Journal of Physics
Volume
25
ISSN
1367-2630
Publication date
15.09.2023
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Physics and Astronomy(all)
Electronic version(s)
http://arxiv.org/abs/2106.07673v1 (Access: Open)
https://doi.org/10.1088/1367-2630/acf151 (Access: Open)