Bounds on quantum evolution complexity via lattice cryptography

We address the difference between integrable and chaotic motion in quantum theory as manifested by the complexity of the corresponding evolution operators. Complexity is understood here as the shortest geodesic distance between the time-dependent evolution operator and the origin within the group of...

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Bibliographic Details
Main Author: Ben Craps, Marine De Clerck, Oleg Evnin, Philip Hacker, Maxim Pavlov
Format: Article
Language:English
Published: SciPost 2022-10-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.13.4.090