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Quantum key distribution is widely thought to offer unconditional security in communication between two users. Unfortunately, a widely accepted proof of its security in the presence of source, device and channel noises has been missing.…

Quantum Physics · Physics 2009-10-31 Hoi-Kwong Lo , H. F. Chau

We analyze the security of two-way quantum key distribution using arbitrary finite-dimensional systems, considering both individual and collective eavesdropping attacks, without the effective use of entangled states, by incorporating two…

Quantum Physics · Physics 2026-04-14 Abhishek Muhuri , Ayan Patra , Rivu Gupta , Tamoghna Das , Aditi Sen De

Device-independent quantum key distribution (QKD) can permit the superior security even with unknown devices. In practice, however, the realization of device-independent QKD is technically challenging because of its low noise tolerance. In…

Quantum Physics · Physics 2022-03-22 Feihu Xu , Yu-Zhe Zhang , Qiang Zhang , Jian-Wei Pan

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

Digital signal processing technology has paved the way for the realization of high-speed continuous-variable quantum key distribution systems. However, existing security proofs are limited to static digital signal processing algorithms,…

Quantum Physics · Physics 2026-02-06 Lu Fan , Zhengyu Li , Sheng Liu , Xuesong Xu , Tianyu Zhang , Jiale Mi , Dong Wang , Dechao Zhang , Han Li , Song Yu , Yichen Zhang

Most quantum key distribution (QKD) protocols can be classified as either a discrete-variable (DV) protocol or continuous-variable (CV) protocol, based on how classical information is being encoded. We propose a protocol that combines the…

While quantum key distribution (QKD) based on two-dimensional (qubit) encoding is a mature, field-tested technology, its performance is lacking for many cryptographic applications. High-dimensional encoding for QKD enables increased…

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

In recent years, quantum key distribution (QKD) has evolved from a scientific research field to a commercially available security solution, supported by mathematically formulated security proofs. However, since the knowledge required for a…

Quantum conditional entropies play a fundamental role in quantum information theory. In quantum key distribution, they are exploited to obtain reliable lower bounds on the secret-key rates in the finite-size regime, against collective…

Quantum Physics · Physics 2026-03-05 Gabriele Staffieri , Giovanni Scala , Cosmo Lupo

Standard quantum key distribution protocols are provably secure against eavesdropping attacks, if quantum theory is correct. It is theoretically interesting to know if we need to assume the validity of quantum theory to prove the security…

Quantum Physics · Physics 2009-11-10 Jonathan Barrett , Lucien Hardy , Adrian Kent

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

In theory, quantum key distribution (QKD) offers information-theoretic security. In practice, however, it does not due to the discrepancies between the assumptions used in the security proofs and the behaviour of the real apparatuses.…

Quantum Physics · Physics 2023-03-29 Margarida Pereira , Go Kato , Akihiro Mizutani , Marcos Curty , Kiyoshi Tamaki

Quantum technology can enable secure communication for cryptography purposes using quantum key distribution. Quantum key distribution protocols provide a secret key between two users with security guaranteed by the laws of quantum…

Quantum Physics · Physics 2024-10-11 Venkat Abhignan , Abhishek Jamunkar , Gokul Nair , Mohit Mittal , Megha Shrivastava

Quantum key distribution (QKD) permits information-theoretically secure transmission of digital encryption keys, assuming that the behaviour of the devices employed for the key exchange can be reliably modelled and predicted. Remarkably, no…

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

A realistic Quantum Key Distribution (QKD) protocol necessarily deals with finite resources, such as the number of signals exchanged by the two parties. We derive a bound on the secret key rate which is expressed as an optimization problem…

Quantum Physics · Physics 2011-10-13 Silvestre Abruzzo , Hermann Kampermann , Markus Mertz , Dagmar Bruß

By carrying out measurements on entangled states, two parties can generate a secret key which is secure not only against an eavesdropper bound by the laws of quantum mechanics, but also against a hypothetical "post-quantum" eavesdroppers…

Quantum Physics · Physics 2007-10-22 Antonio Acin , Serge Massar , Stefano Pironio

Cryptographic key exchange protocols traditionally rely on computational conjectures such as the hardness of prime factorisation to provide security against eavesdropping attacks. Remarkably, quantum key distribution protocols like the one…

A theoretical quantum key distribution scheme using EPR pairs is presented. This scheme is efficient in that it uses all EPR pairs in distributing the key except those chosen for checking eavesdroppers. The high capacity is achieved because…

Quantum Physics · Physics 2009-11-06 Gui Lu Long , Xiao Shu Liu