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...
Saved in:
Published in | IEEE transactions on information theory Vol. 68; no. 5; pp. 3144 - 3163 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
New York
IEEE
01.05.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subjects | |
Online Access | Get full text |
Cover
Loading…
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 |