Orders of chaoticity of unitaries

We introduce the concept of K -th order chaoticity of unitaries, and analyze it for the case of two-level quantum systems. This property is relevant in a certain quantum random number generation scheme. We show that no unitaries exist with an arbitrary order of chaoticity.

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Bibliographic Details
Published in:Physica scripta 2023-03, Vol.98 (3), p.34003
Main Authors: Ortega, Adrian, Frigyik, Andrew B, Koniorczyk, Mátyás
Format: Article
Language:English
Subjects:
dynamical entropy
iterated quantum maps
measurement uncertainty
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Description
Summary:We introduce the concept of K -th order chaoticity of unitaries, and analyze it for the case of two-level quantum systems. This property is relevant in a certain quantum random number generation scheme. We show that no unitaries exist with an arbitrary order of chaoticity.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/acb7ab