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The unconditional security of a quantum key distribution protocol is often defined in terms of the accessible information, that is, the maximum mutual information between the distributed key S and the outcome of an optimal measurement on…

Quantum Physics · Physics 2011-11-09 Robert Koenig , Renato Renner , Andor Bariska , Ueli Maurer

The security of quantum key distribution protocols is guaranteed by the laws of quantum mechanics. However, a precise analysis of the security properties requires tools from both classical cryptography and information theory. Here, we…

Quantum Physics · Physics 2017-10-11 Marco Tomamichel , Jesus Martinez-Mateo , Christoph Pacher , David Elkouss

We characterize novel probability distributions for CSS codes. Such classes of error correcting codes, originally introduced by Calderbank, Shor, and Steane, are of great significance in advancing the fidelity of Quantum computation, with…

Quantum Physics · Physics 2025-10-06 Pete Rigas

In the literature there exists analytical expressions for the probability of a receiver decoding a transmitted source message that has been encoded using random linear network coding. In this work, we look into the probability that the…

Information Theory · Computer Science 2022-03-08 Jessica Claridge , Ioannis Chatzigeorgiou

Secure codes are widely-studied combinatorial structures which were introduced for traitor tracing in broadcast encryption. To determine the maximum size of such structures is the main research objective. In this paper, we investigate the…

Information Theory · Computer Science 2021-08-24 Bingchen Qian , Xin Wang , Gennian Ge

In principle, quantum key distribution (QKD) offers information-theoretic security based on the laws of physics. In practice, however, the imperfections of realistic devices might introduce deviations from the idealized models used in…

Quantum Physics · Physics 2020-06-01 Feihu Xu , Xiongfeng Ma , Qiang Zhang , Hoi-Kwong Lo , Jian-Wei Pan

Message authentication guarantees the integrity of messages exchanged over untrusted channels. However, to achieve this goal, message authentication considerably expands packet sizes, which is especially problematic in constrained wireless…

Cryptography and Security · Computer Science 2022-05-20 Eric Wagner , Jan Bauer , Martin Henze

We present several generalizations of results for splitting authentication codes by studying the aspect of multi-fold security. As the two primary results, we prove a combinatorial lower bound on the number of encoding rules and a…

Cryptography and Security · Computer Science 2018-07-03 Michael Huber

It has been widely claimed and believed that many protocols in quantum key distribution, especially the single-photon BB84 protocol, have been proved unconditionally secure at least in principle, for both asymptotic and finite protocols…

Quantum Physics · Physics 2012-07-03 Horace P. Yuen

A usual code for quantum wiretap channel requires an auxiliary random variable subject to the perfect uniform distribution. However, it is difficult to prepare such an auxiliary random variable. We propose a code that requires only an…

Quantum Physics · Physics 2016-09-28 Masahito Hayashi

A big challenge in continuous variable quantum key distribution is to prove security against arbitrary coherent attacks including realistic assumptions such as finite-size effects. Recently, such a proof has been presented in [Phys. Rev.…

Quantum Physics · Physics 2015-06-19 Fabian Furrer

Continuous-variable quantum key distribution exploits coherent measurements of the electromagnetic field, i.e., homodyne or heterodyne detection. The most advanced security proofs developed so far relied on idealised mathematical models for…

Quantum Physics · Physics 2022-03-18 Cosmo Lupo , Yingkai Ouyang

Perfect ciphers have been a very attractive cryptographic tool ever since C. Shannon described them. Note that, by definition, if a perfect cipher is used, no one can get any information about the encrypted message without knowing the…

Cryptography and Security · Computer Science 2023-07-20 Boris Ryabko

Security proofs of quantum key distribution (QKD) often require post-processing schemes to simplify the data structure, and hence the security proof. We show a generic method to improve resulting secure key rates by partially reversing the…

Quantum Physics · Physics 2012-02-29 Xiongfeng Ma , Norbert Lütkenhaus

Secure key distribution among two remote parties is impossible when both are classical, unless some unproven (and arguably unrealistic) computation-complexity assumptions are made, such as the difficulty of factorizing large numbers. On the…

Quantum Physics · Physics 2011-11-01 Michel Boyer , Ran Gelles , Dan Kenigsberg , Tal Mor

Establishing the security of continuous-variable quantum key distribution against general attacks in a realistic finite-size regime is an outstanding open problem in the field of theoretical quantum cryptography if we restrict our attention…

Quantum Physics · Physics 2017-05-17 Anthony Leverrier

We present a new idea to design perfectly secure information exchange protocol, based on so called Deep Randomness, which means randomness relying on hidden probability distribution. Such idea drives us to introduce a new axiom in…

Cryptography and Security · Computer Science 2019-01-08 Thibault de Valroger

We introduce a simple, practical approach with probabilistic information-theoretic security to solve one of quantum key distribution's major security weaknesses: the requirement of an authenticated classical channel to prevent…

Quantum Physics · Physics 2009-08-27 Travis R. Beals , Kevin P. Hynes , Barry C. Sanders

Strong attacks against quantum key distribution use quantum memories and quantum gates to attack directly the final key. In this paper we extend a novel security result recently obtained, to demonstrate proofs of security against a wide…

Quantum Physics · Physics 2008-02-03 E. Biahm , T. Mor

Cryptographic security of quantum key distribution is currently based on a trace distance criterion. The widespread misinterpretation of the criterion as failure probability and also its actual scope have been discussed previously. Recently…

Quantum Physics · Physics 2014-10-28 Horace Yuen