Quantum Sampling for Finite Key Rates in High Dimensional Quantum Cryptography

It has been shown recently that the framework of quantum sampling, as introduced by Bouman and Fehr, can lead to new entropic uncertainty relations highly applicable to finite-key cryptographic analyses. Here we revisit these so-called sampling-based entropic uncertainty relations, deriving newer, m...

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Bibliographic Details
Published inIEEE transactions on information theory Vol. 68; no. 5; pp. 3144 - 3163
Main Authors Yao, Keegan, Krawec, Walter O., Zhu, Jiadong
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Summary:It has been shown recently that the framework of quantum sampling, as introduced by Bouman and Fehr, can lead to new entropic uncertainty relations highly applicable to finite-key cryptographic analyses. Here we revisit these so-called sampling-based entropic uncertainty relations, deriving newer, more powerful, relations and applying them to source-independent quantum random number generators and high-dimensional quantum key distribution protocols. Along the way, we prove several interesting results in the asymptotic case for our entropic uncertainty relations. These sampling-based approaches to entropic uncertainty, and their application to quantum cryptography, hold great potential for deriving proofs of security for quantum cryptographic systems, and the approaches we use here may be applicable to an even wider range of scenarios.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2022.3141874