NDLI: Non-quantum cryptanalysis of the noisy version of Aaronson

Content Provider	IET Digital Library
Author	Pena, Marta Conde Díaz, Raul Durán Faugère, Jean Charles Encinas, Luis Hernández Perret, Ludovic
Abstract	At STOC 2012, Aaronson and Christiano proposed a noisy and a noiseless version of the first public-key quantum money scheme endowed with a security proof. This paper addresses the so-called noisy hidden subspaces problem, on which the noisy version of their scheme is based. The first contribution of this work is a non-quantum cryptanalysis of the above-mentioned noisy quantum money scheme extended to prime fields F , with ∣ F ∣ ≠ 2 , that runs in randomised polynomial time. This finding is supported with experimental results showing that, in practice, the algorithm presented is efficient and succeeds with overwhelming probability. The second contribution is a non-quantum randomised polynomial-time cryptanalysis of the noisy quantum money scheme over F 2 succeeding with a certain probability for values of the noise lying within a certain range. This result disproves a conjecture made by Aaronson and Christiano about the non-existence of an algorithm that solves the noisy hidden subspaces problem over F 2 and succeeds with such probability.
Starting Page	362
Ending Page	366
Page Count	5
ISSN	17518709
Volume Number	13
e-ISSN	17518717
Issue Number	Issue 4, Jul (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-ifs/13/4
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-ifs.2018.5307
Journal	IET Information Security
Publisher Date	2018-12-04
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Aaronson-Christiano's Quantum Money Scheme Algebra Banking Computational Complexity Cryptography Data Security Noiseless Version Noisy Hidden SubSpace Problem Noisy Quantum Money Scheme Nonquantum Cryptanalysis Polynomial Polynomial-time Cryptanalysis Probability Public Key Cryptography Public-key Quantum Money Scheme Randomised Polynomial Time Statistics STOC 2012
Content Type	Text
Resource Type	Article
Subject	Computer Networks and Communications Information Systems Software

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