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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

Privacy amplification is a necessary step in all quantum key distribution protocols, and error correction is needed in each except when signals of many photons are used in the key communication in quantum noise approach. No security…

Quantum Physics · Physics 2014-11-11 Horace Yuen

The recent line of study on randomness extractors has been a great success, resulting in exciting new techniques, new connections, and breakthroughs to long standing open problems in several seemingly different topics. These include seeded…

Computational Complexity · Computer Science 2018-04-12 Xin Li

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

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

We show that covert secret key expansion is possible using a public authenticated classical channel and a quantum channel largely under control of an adversary, which we precisely define. We also prove a converse result showing that, under…

Information Theory · Computer Science 2019-11-12 Mehrdad Tahmasbi , Matthieu R. Bloch

Randomness extractors and error correcting codes are fundamental objects in computer science. Recently, there have been several natural generalizations of these objects, in the context and study of tamper resilient cryptography. These are…

Cryptography and Security · Computer Science 2015-05-04 Eshan Chattopadhyay , Vipul Goyal , Xin Li

Privacy amplification is an indispensable step in postprocessing of continuous-variable quantum key distribution (CV-QKD), which is used to distill unconditional secure keys from identical corrected keys between two distant legal parties.…

Quantum Physics · Physics 2018-05-08 Xiangyu Wang , Yi-Chen Zhang , Song Yu , Hong Guo

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

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

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

We study quantum soft covering and privacy amplification against quantum side information. The former task aims to approximate a quantum state by sampling from a prior distribution and querying a quantum channel. The latter task aims to…

Quantum Physics · Physics 2022-02-24 Yu-Chen Shen , Li Gao , Hao-Chung Cheng

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

Quantum secure direct communication (QSDC) and deterministic secure quantum communication (DSQC) are two important branches of quantum cryptography, where one can transmit a secret message securely without encrypting it by a prior key. In…

Quantum Physics · Physics 2022-02-22 Nayana Das , Goutam Paul

An extractor is a function E that is used to extract randomness. Given an imperfect random source X and a uniform seed Y, the output E(X,Y) is close to uniform. We study properties of such functions in the presence of prior quantum…

Quantum Physics · Physics 2008-02-04 Robert Koenig , Barbara M. Terhal

Quantum secret sharing (QSS) enables a dealer to securely distribute keys to multiple players. Device-independent (DI) QSS can resist all possible attacks from practical imperfect devices and provide QSS the highest level of security in…

Quantum privacy amplification is a central task in quantum cryptography. Given shared randomness, which is initially correlated with a quantum system held by an eavesdropper, the goal is to extract uniform randomness which is decoupled from…

Quantum Physics · Physics 2022-02-23 Robert Salzmann , Nilanjana Datta

Device-independent quantum secret sharing (DI-QSS) provides high security by eliminating the need to trust devices, yet its practical performance is limited by channel loss and noise. This work extends advantage distillation from two-party…

High-quality, distributed quantum entanglement is the distinctive resource for quantum communication and forms the foundation for the unequalled level of security that can be assured in quantum key distribution. While the entanglement…

Quantum Physics · Physics 2024-08-23 Philipp Sohr , Sebastian Ecker , Lukas Bulla , Martin Bohmann , Rupert Ursin

We investigate superadditivity of quantum capacity through private channels whose Choi-Jamiolkowski operators are private states. This perspective links the security structure of private states to quantum capacity and clarifies the role of…

Quantum Physics · Physics 2025-10-29 Peixue Wu , Yunkai Wang