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Device-independent Shannon entropy certification

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Bibliographic Details
Title: Device-independent Shannon entropy certification
Authors: Robert Okula, Piotr Mironowicz
Source: New Journal of Physics, Vol 27, Iss 11, p 114519 (2025)
Publisher Information: IOP Publishing
Publication Year: 2025
Collection: Directory of Open Access Journals: DOAJ Articles
Subject Terms: quantum random number generation, Shannon entropy, semi-definite programming, Science, Physics, QC1-999
Description: Quantum technologies promise information processing and communication technology advancements, including random number generation (RNG). Using Bell inequalities, a user of a quantum RNG hardware can certify that the values provided by an untrusted device are truly random. This problem has been extensively studied for von Neumann and min-entropy as a measure of randomness. However, in this paper, we analyze the feasibility of such verification for Shannon entropy. We investigate how the usability of various Bell inequalities differs depending on the presence of noise. Moreover, we present the benefit of certification for Shannon compared to min-entropy, as well as the tight analytical lower bound for Shannon entropy in randomness certification.
Document Type: article in journal/newspaper
Language: English
Relation: https://doi.org/10.1088/1367-2630/ae20b2; https://doaj.org/toc/1367-2630; https://doaj.org/article/d048efdd0b0343d5b01002f60f9cd2e6
DOI: 10.1088/1367-2630/ae20b2
Availability: https://doi.org/10.1088/1367-2630/ae20b2
https://doaj.org/article/d048efdd0b0343d5b01002f60f9cd2e6
Accession Number: edsbas.255B5CAC
Database: BASE
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