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Privacy Amplification in the Isolated Qubits Model

Published

Author(s)

Yi-Kai Liu

Abstract

Isolated qubits are a special class of quantum devices, which can be used to implement tamper-resistant cryptographic hardware such as one-time memories (OTM's). Unfortunately, these OTM constructions leak some information, and standard methods for privacy amplification cannot be applied here, because the adversary has advance knowledge of the hash function that the honest parties will use. In this paper we show a stronger form of privacy amplification that solves this problem, using a fixed hash function that is secure against all possible adversaries in the isolated qubits model. This allows us to construct single-bit OTM's which only leak an exponentially small amount of information. We then study a natural generalization of the isolated qubits model, where the adversary is allowed to perform a polynomial number of entangling gates, in addition to unbounded local operations and classical communication (LOCC). We show that our technique for privacy amplification is also secure in this setting.
Proceedings Title
Advances in Cryptology - EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques
Conference Dates
April 26-30, 2015
Conference Location
Sofia,

Keywords

Quantum cryptography, secure hardware, one-time memories, isolated qubits

Citation

Liu, Y. (2015), Privacy Amplification in the Isolated Qubits Model, Advances in Cryptology - EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Sofia, , [online], https://doi.org/10.1007/978-3-662-46803-6_26 (Accessed March 19, 2024)
Created April 14, 2015, Updated November 10, 2018