Complexity is not enough for randomness

We study the dynamical generation of randomness in Brownian systems as a function of the degree of locality of the Hamiltonian. We first express the trace distance to a unitary design for these systems in terms of an effective equilibrium thermal partition function, and provide a set of conditions t...

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Bibliographic Details
Main Author: Shiyong Guo, Martin Sasieta, Brian Swingle
Format: Article
Language:English
Published: SciPost 2024-12-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.17.6.151
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