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DOI: 10.4230/LIPIcs.TQC.2016.4
URN: urn:nbn:de:0030-drops-66851
URL: https://drops.dagstuhl.de/opus/volltexte/2016/6685/
Sikora, Jamie
Simple, Near-Optimal Quantum Protocols for Die-Rolling
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Abstract
Die-rolling is the cryptographic task where two mistrustful, remote parties wish to generate a random D-sided die-roll over a communication channel. Optimal quantum protocols for this task have been given by Aharon and Silman (New Journal of Physics, 2010) but are based on optimal weak coin-flipping protocols which are currently very complicated and not very well understood. In this paper, we first present very simple classical protocols for die-rolling which have decent (and sometimes optimal) security which is in stark contrast to coin-flipping, bit-commitment, oblivious transfer, and many other two-party cryptographic primitives. We also present quantum protocols based on the idea of integer-commitment, a generalization of bit-commitment, where one wishes to commit to an integer. We analyze these protocols using semidefinite programming and finally give protocols which are very close to Kitaev's lower bound for any D >= 3.
BibTeX - Entry
@InProceedings{sikora:LIPIcs:2016:6685,
author = {Jamie Sikora},
title = {{Simple, Near-Optimal Quantum Protocols for Die-Rolling}},
booktitle = {11th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2016)},
pages = {4:1--4:14},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-019-4},
ISSN = {1868-8969},
year = {2016},
volume = {61},
editor = {Anne Broadbent},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2016/6685},
URN = {urn:nbn:de:0030-drops-66851},
doi = {10.4230/LIPIcs.TQC.2016.4},
annote = {Keywords: Quantum Cryptography, Semidefinite Programming, Die-Rolling, Integer-Commitment}
}
| Keywords: | Quantum Cryptography, Semidefinite Programming, Die-Rolling, Integer-Commitment | |
| Seminar: | 11th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2016) | |
| Issue date: | 2016 | |
| Date of publication: | 22.09.2016 |
