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In privacy amplification, two mutually trusted parties aim to amplify the secrecy of an initial shared secret $X$ in order to establish a shared private key $K$ by exchanging messages over an insecure communication channel. If the channel…

Quantum Physics · Physics 2018-02-16 Divesh Aggarwal , Kai-Min Chung , Han-Hsuan Lin , Thomas Vidick

In studying how to communicate over a public channel with an active adversary, Dodis and Wichs introduced the notion of a non-malleable extractor. A non-malleable extractor dramatically strengthens the notion of a strong extractor. A strong…

Cryptography and Security · Computer Science 2011-09-06 Yevgeniy Dodis , Xin Li , Trevor D. Wooley , David Zuckerman

We show that the tasks of privacy amplification against quantum adversaries and data compression with quantum side information are dual in the sense that the ability to perform one implies the ability to perform the other. These are two of…

Quantum Physics · Physics 2011-06-10 Joseph M. Renes

We study the problem of privacy amplification with an active adversary in the information theoretic setting. In this setting, two parties Alice and Bob start out with a shared $n$-bit weak random string $W$, and try to agree on a secret…

Computational Complexity · Computer Science 2010-11-12 Xin Li

We consider privacy amplification against quantum side information by using regular random binning as an effective extractor. For constant-type sources, we obtain error exponent and strong converse bounds in terms of the so-called quantum…

Quantum Physics · Physics 2023-09-21 Yu-Chen Shen , Li Gao , Hao-Chung Cheng

We study the practical effectiveness of privacy amplification for classical key-distribution schemes. We find that in contrast to quantum key distribution schemes, the high fidelity of the raw key generated in classical systems allow the…

Cryptography and Security · Computer Science 2015-03-17 Tamas Horvath , Laszlo B. Kish , Jacob Scheuer

Recently, the problem of privacy amplification with an active adversary has received a lot of attention. Given a shared n-bit weak random source X with min-entropy k and a security parameter s, the main goal is to construct an explicit…

Cryptography and Security · Computer Science 2012-11-06 Xin Li

Differential privacy provides a theoretical framework for processing a dataset about $n$ users, in a way that the output reveals a minimal information about any single user. Such notion of privacy is usually ensured by noise-adding…

Quantum Physics · Physics 2023-08-23 Armando Angrisani , Mina Doosti , Elham Kashefi

The task of privacy amplification, in which Alice holds some partially secret information with respect to an adversary Eve and wishes to distill it until it is completely secret, is known to be solvable almost optimally both in the…

Quantum Physics · Physics 2025-06-09 Rotem Arnon , Amnon Ta-Shma

Dodis and Wichs introduced the notion of a non-malleable extractor to study the problem of privacy amplification with an active adversary. A non-malleable extractor is a much stronger version of a strong extractor. Previously, there are…

Cryptography and Security · Computer Science 2015-03-19 Xin Li

We examine the task of privacy amplification from information-theoretic and coding-theoretic points of view. In the former, we give a one-shot characterization of the optimal rate of privacy amplification against classical adversaries in…

Information Theory · Computer Science 2018-11-26 Joseph M. Renes

Privacy amplification is the art of shrinking a partially secret string Z to a highly secret key S. We show that, even if an adversary holds quantum information about the initial string Z, the key S obtained by two-universal hashing is…

Quantum Physics · Physics 2007-05-23 Renato Renner , Robert Koenig

Quantum cryptographic protocols do not rely only on quantum-physical resources, they also require reliable classical communication and computation. In particular, the secrecy of any quantum key distribution protocol critically depends on…

Quantum Physics · Physics 2025-06-03 Iyán Méndez Veiga , Esther Hänggi

Privacy amplification is an indispensable step in the post-processing of quantum key distribution, which can be used to compress the redundancy of shared key and improve the security level of the key. The commonly used privacy amplification…

Quantum Physics · Physics 2021-09-16 Wei Li , Shengmei Zhao

Existing quantum cryptographic schemes are not, as they stand, operable in the presence of noise on the quantum communication channel. Although they become operable if they are supplemented by classical privacy-amplification techniques, the…

Quantum Physics · Physics 2009-01-23 D. Deutsch , A. Ekert , R. Jozsa , C. Macchiavello , S. Popescu , A. Sanpera

We show that three principle means of treating privacy amplification in quantum key distribution, private state distillation, classical privacy amplification, and via the uncertainty principle, are equivalent and interchangeable. By…

Quantum Physics · Physics 2013-05-29 Joseph M. Renes , Jean-Christian Boileau

Privacy amplification is the key step to guarantee the security of quantum communication. The existing security proofs require accumulating a large number of raw key bits for privacy amplification. This is similar to block ciphers in…

Quantum Physics · Physics 2022-07-05 Yizhi Huang , Xingjian Zhang , Xiongfeng Ma

Barrett, Hardy, and Kent have shown in 2005 that protocols for quantum key agreement exist the security of which can be proven under the assumption that quantum or relativity theory is correct. More precisely, this is based on the non-local…

Quantum Physics · Physics 2023-04-12 Esther Hänggi , Renato Renner , Stefan Wolf

Using quantum mechanics, secure direct communication between distant parties can be performed. Over a noisy quantum channel, quantum privacy amplification is a necessary step to ensure the security of the message. In this paper, we present…

Quantum Physics · Physics 2007-05-23 Fu-Guo Deng , Gui Lu Long

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…

Quantum Physics · Physics 2015-05-14 Yi-Kai Liu
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