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We analyse the finite-size security of the efficient Bennett-Brassard 1984 protocol implemented with decoy states and apply the results to a gigahertz-clocked quantum key distribution system. Despite the enhanced security level, the…

The lists of bits processed in quantum key distribution are necessarily of finite length. The need for finite-key unconditional security bounds has been recognized long ago, but the theoretical tools have become available only very…

Quantum Physics · Physics 2015-05-13 Raymond Y. Q. Cai , Valerio Scarani

The decoy-state Bennett-Brassard 1984 (BB84) quantum key distribution (QKD) protocol is widely regarded as the de facto standard for practical implementations. On the receiver side, passive basis choice is attractive because it…

Quantum Physics · Physics 2025-11-27 Akihiro Mizutani , Shun Kawakami , Go Kato

This paper provides a security proof of the Bennett-Brassard (BB84) quantum key distribution protocol in practical implementation. To prove the security, it is not assumed that defects in the devices are absorbed into an adversary's attack.…

Quantum Physics · Physics 2007-05-23 Yodai Watanabe

The privacy amplification term, of which the lower bound needs to be estimated with the decoy-state method, plays a positive role in the secure key rate formula for decoy-state quantum key distribution. In previous work, the yield and the…

Quantum Physics · Physics 2015-02-17 Haodong Jiang , Ming Gao , Hong Wang , Hongxin Li , Zhi Ma

We present a tight security analysis of the Bennett-Brassard 1984 protocol taking into account the finite size effect of key distillation, and achieving unconditional security. We begin by presenting a concise analysis utilizing the normal…

Quantum Physics · Physics 2015-05-28 Masahito Hayashi , Toyohiro Tsurumaru

Security formulas of quantum key distribution (QKD) with imperfect resources are obtained for finite-length code when the decoy method is applied. This analysis is useful for guaranteeing the security of implemented QKD systems. Our…

Quantum Physics · Physics 2009-11-13 Masahito Hayashi

We consider the security of the Bennett-Brassard 1984 (BB84) protocol for Quantum Key Distribution (QKD), with arbitrary individual imperfections simultaneously in the source and detectors. We provide the secure key generation rate, and…

Quantum Physics · Physics 2010-10-05 Øystein Marøy , Lars Lydersen , Johannes Skaar

Quantum key distribution (QKD) promises provably secure communications. In order to improve the secret key rate, combining a biased basis choice with the decoy-state method is proposed. Concomitantly, there is a basis-independent detection…

Quantum Physics · Physics 2021-08-11 Hua-Lei Yin , Peng Liu , Wei-Wei Dai , Zhao-Hui Ci , Jie Gu , Tian Gao , Qiang-Wei Wang , Zi-Yao Shen

In this article I present a protocol for quantum cryptography which is secure against attacks on individual signals. It is based on the Bennett-Brassard protocol of 1984 (BB84). The security proof is complete as far as the use of single…

Quantum Physics · Physics 2009-10-31 Norbert Lütkenhaus

We propose an efficient four-intensity decoy-state BB84 protocol and derive concise security bounds for this protocol with the universally composable finite-key analysis method. Comparing with the efficient three-intensity protocol, we find…

Quantum Physics · Physics 2016-03-16 Haodong Jiang , Ming Gao , Bao Yan , Weilong Wang , Zhi Ma

A central goal in information theory and cryptography is finding simple characterizations of optimal communication rates subject to various restrictions and security requirements. Ideally, the optimal key rate for a quantum key distribution…

Quantum Physics · Physics 2012-03-28 Graeme Smith , Joseph M. Renes , John A. Smolin

Decoy state method quantum key distribution (QKD) is one of the promising practical solutions to BB84 QKD with coherent light pulses. In the real world, however, statistical fluctuations with the finite code length cannot be negligible, and…

Quantum Physics · Physics 2007-07-25 Jun Hasegawa , Masahito Hayashi , Tohya Hiroshima , Akihisa Tomita

We present a finite-size security proof for generic quantum key distribution protocols against independent and identically distributed collective attacks and extend it to coherent attacks using the postselection technique. This work…

Quantum Physics · Physics 2025-02-11 Lars Kamin , Devashish Tupkary , Norbert Lütkenhaus

In this article we deal with the security of the BB84 quantum cryptography protocol over noisy channels using generalized privacy amplification. For this we estimate the fraction of bits needed to be discarded during the privacy…

Quantum Physics · Physics 2007-05-23 N. Lütkenhaus , Stephen M. Barnett

In this work we present a security analysis for quantum key distribution, establishing a rigorous tradeoff between various protocol and security parameters for a class of entanglement-based and prepare-and-measure protocols. The goal of…

Quantum Physics · Physics 2017-08-15 Marco Tomamichel , Anthony Leverrier

Quantum key distribution (QKD) has the potential for widespread real-world applications. To date no secure long-distance experiment has demonstrated the truly practical operation needed to move QKD from the laboratory to the real world due…

We prove the security of the Bennett-Brassard (BB84) quantum key distribution protocol for an arbitrary source whose averaged states are basis-independent, a condition that is automatically satisfied if the source is suitably designed. The…

Quantum Physics · Physics 2009-11-07 Masato Koashi , John Preskill

We propose the improved decoy state quantum key distribution incorporating finite statistics due to the finite code length and report on its demonstration. In our experiment, four different intensities including the vacuum state for optimal…

Quantum Physics · Physics 2007-05-23 Jun Hasegawa , Masahito Hayashi , Tohya Hiroshima , Akihiro Tanaka , Akihisa Tomita

In conventional quantum key distribution protocols, the secure key is normally extracted from the measurement outcomes of the system. Here, a different approach is proposed, where the secure key is extracted from the measurement bases,…

Quantum Physics · Physics 2014-10-21 Xiongfeng Ma
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