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Privacy amplification (PA) is an essential part in a quantum key distribution (QKD) system, distilling a highly secure key from a partially secure string by public negotiation between two parties. The optimization objectives of privacy…

Quantum Physics · Physics 2021-06-08 Yan Bingze , Li Qiong , Mao Haokun , Chen Nan

Secret-key distillation from quantum states and channels is a central task of interest in quantum information theory, as it facilitates private communication over a quantum network. Here, we study the task of secret-key distillation from…

Quantum Physics · Physics 2025-06-16 Vishal Singh , Mark M. Wilde

Establishing scalable, secure quantum networks requires advancing beyond conventional point-to-point quantum key distribution (QKD) protocols toward point-to-multipoint QKD protocols. Here, we generalize a well-established…

Randomness extraction is of fundamental importance for information-theoretic cryptography. It allows to transform a raw key about which an attacker has some limited knowledge into a fully secure random key, on which the attacker has…

Quantum Physics · Physics 2007-12-13 Serge Fehr , Christian Schaffner

Knowledge extraction, typically studied in the classical setting, is at the heart of several cryptographic protocols. We introduce the notion of secure quantum extraction protocols. A secure quantum extraction protocol for an NP relation…

Quantum Physics · Physics 2020-09-28 Prabhanjan Ananth , Rolando L. La Placa

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

Quantum key distribution allows two parties, traditionally known as Alice and Bob, to establish a secure random cryptographic key if, firstly, they have access to a quantum communication channel, and secondly, they can exchange classical…

Quantum Physics · Physics 2007-05-23 Matthias Christandl , Renato Renner , Artur Ekert

We study the problem of constructing multi-source extractors in the quantum setting, which extract almost uniform random bits against quantum side information collected from several initially independent classical random sources. This is a…

Quantum Physics · Physics 2014-11-11 Kai-Min Chung , Xin Li , Xiaodi Wu

This paper studies privacy and secure function evaluation in communication complexity. The focus is on quantum versions of the model and on protocols with only approximate privacy against honest players. We show that the privacy loss (the…

Quantum Physics · Physics 2007-05-23 Hartmut Klauck

We suggest that the randomness of the choices of measurement basis by Alice and Bob provides an additional important resource for quantum cryptography. As a specific application, we present a novel protocol for quantum key distribution…

Quantum Physics · Physics 2016-08-16 Hannes R. Böhm , Paul S. Böhm , Markus Aspelmeyer , Časlav Brukner , Anton Zeilinger

Device-independent (DI) quantum cryptography aims at providing secure cryptography with minimal trust in, or characterisation of, the underlying quantum devices. A key step in DI protocols is randomness extraction (or privacy…

Quantum Physics · Physics 2025-03-12 Cameron Foreman , Lluis Masanes

Many commonly used learning algorithms work by iteratively updating an intermediate solution using one or a few data points in each iteration. Analysis of differential privacy for such algorithms often involves ensuring privacy of each step…

Machine Learning · Computer Science 2018-12-12 Vitaly Feldman , Ilya Mironov , Kunal Talwar , Abhradeep Thakurta

We present a security proof for establishing private entanglement by means of recurrence-type entanglement distillation protocols over noisy quantum channels. We consider protocols where the local devices are imperfect, and show that…

Quantum Physics · Physics 2017-11-20 Alexander Pirker , Vedran Dunjko , Wolfgang Dür , Hans J. Briegel

We show that a family of quantum authentication protocols introduced in [Barnum et al., FOCS 2002] can be used to construct a secure quantum channel and additionally recycle all of the secret key if the message is successfully…

Quantum Physics · Physics 2017-04-24 Christopher Portmann

Non-malleable-codes introduced by Dziembowski, Pietrzak and Wichs [DPW18] encode a classical message $S$ in a manner such that tampering the codeword results in the decoder either outputting the original message $S$ or a message that is…

Cryptography and Security · Computer Science 2023-06-12 Divesh Aggarwal , Naresh Goud Boddu , Rahul Jain

We develop an information-theoretic analysis of Quantum-Memory-Free (QMF) Quantum Secure Direct Communication (QSDC) under collective attacks as an alternative to the use of a conventional Quantum Key Distribution (QKD) protocol in…

Quantum Physics · Physics 2026-05-04 Shang-Jen Su , Shi-Yuan Wang , Matthieu R. Bloch

The fabrication of quantum key distribution (QKD) systems typically involves several parties, thus providing Eve with multiple opportunities to meddle with the devices. As a consequence, conventional hardware and/or software hacking attacks…

We consider the problem of secure identification: user U proves to server S that he knows an agreed (possibly low-entropy) password w, while giving away as little information on w as possible, namely the adversary can exclude at most one…

Quantum Physics · Physics 2009-08-05 Ivan Damgaard , Serge Fehr , Louis Salvail , Christian Schaffner

We present a new technique for proving the security of quantum key distribution (QKD) protocols. It is based on direct information-theoretic arguments and thus also applies if no equivalent entanglement purification scheme can be found.…

Quantum Physics · Physics 2009-11-11 R. Renner , N. Gisin , B. Kraus

The privacy amplification is a technique to distill a secret key from a random variable by a function so that the distilled key and eavesdropper's random variable are statistically independent. There are three kinds of security criteria for…

Information Theory · Computer Science 2011-03-09 Shun Watanabe , Ryutaroh Matsumoto , Tomohiko Uyematsu