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We present a rigorous and complete security proof of the decoy-state BB84 quantum key distribution (QKD) protocol. Our analysis aims to achieve a high standard of mathematical rigour and completeness, thereby providing the necessary…

Quantum Physics · Physics 2026-01-27 Devashish Tupkary , Shlok Nahar , Amir Arqand , Ernest Y. -Z. Tan , Norbert Lütkenhaus

Quantum key distribution (QKD) gradually has become a crucial element of practical secure communication. In different scenarios, the security analysis of genuine QKD systems is complicated. A universal secret key rate calculation method,…

Quantum Physics · Physics 2021-09-13 Zehong Chang , Fumin Wang , Xiaoli Wang , Xiaofei Liu , Rongqian Wu , Yi lv , Pei Zhang

The study of quantum information processing seeks to characterize the resources that enable quantum information processing to perform tasks that are unfeasible or inefficient for classical information processing. Quantum cryptography is one…

Security proofs of quantum key distribution (QKD) typically assume that the devices of the legitimate users are perfectly shielded from the eavesdropper. This assumption is, however, very hard to meet in practice, and thus the security of…

Quantum Physics · Physics 2018-09-05 Weilong Wang , Kiyoshi Tamaki , Marcos Curty

An essential step in quantum key distribution is the estimation of parameters related to the leaked amount of information, which is usually done by sampling of the communication data. When the data size is finite, the final key rate depends…

Quantum Physics · Physics 2017-07-12 Shun Kawakami , Toshihiko Sasaki , Masato Koashi

This paper discusses the use of computer-aided verification as a practical means for analysing quantum information systems; specifically, the BB84 protocol for quantum key distribution is examined using this method. This protocol has been…

Cryptography and Security · Computer Science 2007-05-23 Rajagopal Nagarajan , Nikolaos Papanikolaou , Garry Bowen , Simon Gay

We present an approach to the unconditional security of quantum key distribution protocols based on the uncertainty principle. The approach applies to every case that has been treated via the argument by Shor and Preskill, and relieve them…

Quantum Physics · Physics 2007-05-23 Masato Koashi

This paper proposes a new protocol for quantum dense key distribution. This protocol embeds the benefits of a quantum dense coding and a quantum key distribution and is able to generate shared secret keys four times more efficiently than…

Shor and Preskill have provided a simple proof of security of the standard quantum key distribution scheme by Bennett and Brassard (BB84) by demonstrating a connection between key distribution and entanglement purification protocols with…

Quantum Physics · Physics 2007-05-23 Daniel Gottesman , Hoi-Kwong Lo

Quantum key distribution (QKD) establishes secure links between remote communication parties. As a key problem for various QKD protocols, security analysis gives the amount of secure keys regardless of the eavesdropper's computational…

Quantum Physics · Physics 2023-09-26 Hongyi Zhou , Toshihiko Sasaki , Masato Koashi

Many papers proved the security of quantum key distribution (QKD) system, in the asymptotic framework. The degree of the security has not been discussed in the finite coding-length framework, sufficiently. However, to guarantee any…

Quantum Physics · Physics 2009-11-13 Masahito Hayashi

The laws of quantum mechanics allow unconditionally secure key distribution protocols. Nevertheless, security proofs of traditional quantum key distribution (QKD) protocols rely on a crucial assumption, the trustworthiness of the quantum…

Quantum Physics · Physics 2014-10-08 Umesh Vazirani , Thomas Vidick

Most security proofs of quantum key distribution (QKD) assume that there is no unwanted information leakage about the state preparation process. However, this assumption is impossible to guarantee in practice, as QKD systems can leak…

Random generation and confidential distribution of cryptographic keys are fundamental building blocks of secure communication. Using quantum states in which the transmitted quantum bit is entangled with a stationary memory quantum bit…

Quantum Physics · Physics 2021-11-30 Pascal Kobel , Ralf A. Berner , Michael Köhl

We discuss the potential of quantum key distribution (QKD) for long distance communication by proposing a new analysis of the errors caused by dark counts. We give sufficient conditions for a considerable improvement of the key generation…

Quantum Physics · Physics 2009-11-11 J. -C. Boileau , J. Batuwantudawe , R. Laflamme

Semi-quantum key distribution protocols are designed to allow two parties to establish a shared secret key, secure against an all-powerful adversary, even when one of the users is restricted to measuring and preparing quantum states in one…

Quantum Physics · Physics 2019-11-15 Omar Amer , Walter O. Krawec

We consider the security of the Bennett-Brassard 1984 (BB84) protocol for Quantum Key Distribution (QKD), in the presence of bit and basis dependent detector flaws. We suggest a powerful attack that can be used in systems with detector…

Quantum Physics · Physics 2010-01-04 L. Lydersen , J. Skaar

Quantum key distribution protocols typically make use of a one-way quantum channel to distribute a shared secret string to two distant users. However, protocols exploiting a two-way quantum channel have been proposed as an alternative route…

Quantum Physics · Physics 2013-12-13 Normand J. Beaudry , Marco Lucamarini , Stefano Mancini , Renato Renner

We devise a simple modification that essentially doubles the efficiency of the BB84 quantum key distribution scheme proposed by Bennett and Brassard. We also prove the security of our modified scheme against the most general eavesdropping…

Quantum Physics · Physics 2016-09-08 Hoi-Kwong Lo , H. F. Chau , M. Ardehali

The goal of quantum key distribution (QKD) is to establish a secure key between two parties connected by an insecure quantum channel. To use a QKD protocol in practice, one has to prove that a finite size key is secure against general…

Quantum Physics · Physics 2023-11-21 Tony Metger , Renato Renner