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Quantum Information Processing

Quantum key distribution using universal hash functions over finite fields

  • 01-04-2022
Published in:
Author
Khodakhast Bibak
Published in
Quantum Information Processing | Issue 4/2022

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Abstract

The document delves into the application of universal hash functions in quantum key distribution (QKD), a process that combines quantum and classical channels to securely distribute cryptographic keys. It introduces three new hash function families—AMHOF, LHOF, and DHOBF—that are defined over any finite field and offer the best possible collision bounds. By integrating influential mathematical results from Schmidt and Weil, the authors demonstrate the universality and strong universality of these families, making them highly suitable for QKD and other quantum communication protocols. The article also compares these new families with existing ones like polynomial hash and quadratic hash, highlighting their advantages in terms of broader applicability and better collision bounds. Additionally, it discusses the broader implications of these findings for various quantum communication protocols, emphasizing the potential for improved security and efficiency in these domains.
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previous article Low-rank approximation to entangled multipartite quantum systems
next article Measurement-device-independent quantum secure multiparty summation
Title
Quantum key distribution using universal hash functions over finite fields
Author
Khodakhast Bibak
Publication date
01-04-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 4/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03468-y
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