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We derive a new upper bound for Eve's information in secret key generation from a common random number without communication. This bound improves on Bennett et al(1995)'s bound based on the R\'enyi entropy of order 2 because the bound…

Information Theory · Computer Science 2016-11-17 Masahito Hayashi

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

Privacy-preserving average consensus aims to guarantee the privacy of initial states and asymptotic consensus on the exact average of the initial value. In existing work, it is achieved by adding and subtracting variance decaying and…

Systems and Control · Computer Science 2017-02-10 Jianping He , Lin Cai , Chengcheng Zhao , Peng Cheng , Xinping Guan

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

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

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

In contrast to classical public-key cryptosystems, where the security of encoded messages relies on on computational assumptions, Quantum Key Distribution (QKD) enables two distant parties to establish a shared secret key that, when…

Evaluating the theoretical limit of the amount of information Eve can steal from a quantum key distribution protocol under given conditions is one of the most important things that need to be done in security proof. In addition to source…

Cryptography and Security · Computer Science 2019-10-09 Wei Li , Shengmei Zhao

Quantum key distribution allows remote parties to generate information-theoretic secure keys. The bottleneck throttling its real-life applications lies in the limited communication distance and key generation speed, due to the fact that the…

Quantum Physics · Physics 2019-04-24 Xiongfeng Ma , Pei Zeng , Hongyi Zhou

We find that the generally accepted security criteria are flawed for a whole class of protocols for quantum cryptography. This is so because a standard assumption of the security analysis, namely that the so-called square-root measurement…

Quantum cryptography allows one to distribute a secret key between two remote parties using the fundamental principles of quantum mechanics. The well-known established paradigm for the quantum key distribution relies on the actual…

Quantum Physics · Physics 2015-05-13 Tae-Gon Noh

The performance of quantum key distribution (QKD) is severely limited by multi-photon pulses emitted by laser sources due to the photon-number splitting attack. Coherent-one-way (COW) QKD has been introduced as a promising solution to…

Quantum Physics · Physics 2021-01-06 Javier González-Payo , Róbert Trényi , Weilong Wang , Marcos Curty

We prove a lower bound on the information leakage of any classical protocol computing the equality function in the simultaneous message passing (SMP) model. Our bound is valid in the finite length regime and is strong enough to demonstrate…

Computational Complexity · Computer Science 2016-07-27 Juan Miguel Arrazola , Dave Touchette

Quantum key distribution (QKD) is the first quantum information task to reach the level of mature technology, already fit for commercialization. It aims at the creation of a secret key between authorized partners connected by a quantum…

Precise quantum key distribution (QKD) secure bound analysis is essential for practical QKD systems. The effect of uniformity of random number seed for privacy amplification is not considered in existing secure bound analysis. In this…

Quantum Physics · Physics 2022-07-19 Bingze Yan , Yucheng Qiao , Qiong Li , Haokun Mao

We propose a new upper bound for the eavesdropper's information in the direct and reverse reconciliated coherent states quantum key distribution protocols with heterodyne detection. This bound is derived by maximizing the leaked information…

Quantum Physics · Physics 2009-02-17 Jerome Lodewyck , Philippe Grangier

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

The security of quantum key distribution (QKD) relies on the Heisenberg uncertainty principle, with which legitimate users are able to estimate information leakage by monitoring the disturbance of the transmitted quantum signals. Normally,…

Quantum Physics · Physics 2017-04-03 Zhen Zhang , Xiao Yuan , Zhu Cao , Xiongfeng Ma

Bound secret information is classical information that contains secrecy but from which secrecy cannot be extracted. The existence of bound secrecy has been conjectured but is currently unproven, and in this work we provide analytical and…

Quantum Physics · Physics 2017-04-18 Sumeet Khatri , Norbert Lütkenhaus

Privacy amplification (PA) is the art of distilling a highly secret key from a partially secure string by public discussion. It is a vital procedure in quantum key distribution (QKD) to produce a theoretically unconditional secure key. The…

Quantum Physics · Physics 2019-12-30 Bingze Yan , Haokun Mao , Xiaofeng Xue , Qiong Li