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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…

Device-independent quantum key distribution allows for proving the security of a shared cryptographic key between two distant parties with potentially untrusted devices. The security proof is based on the measurement outcome statistics…

Quantum Physics · Physics 2023-10-23 Máté Farkas

We analyze the security of two multipartite quantum key distribution (QKD) protocols, specifically we introduce an $N$-partite version of the BB84 protocol and we discuss the $N$-partite six-state protocol proposed in arXiv:1612.05585v2.…

Quantum Physics · Physics 2018-12-05 Federico Grasselli , Hermann Kampermann , Dagmar Bruß

The Sending-or-Not-Sending protocol of the twin-field quantum key distribution (TF-QKD) has its advantage of unconditional security proof under any coherent attack and fault tolerance to large misalignment error. So far this is the only…

Quantum Physics · Physics 2019-09-02 Cong Jiang , Zong-Wen Yu , Xiao-Long Hu , Xiang-Bin Wang

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

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

We compare three proof techniques for composable finite-size security of quantum key distribution under collective attacks, with emphasis on how the resulting secret-key rates behave at practically relevant block lengths. As a benchmark, we…

Quantum Physics · Physics 2026-01-08 Gabriele Staffieri , Giovanni Scala , Cosmo Lupo

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

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

When there exists a malicious attacker in the network, we need to be careful of eavesdropping and contamination. This problem is crucial for network communication when the network is realized by a partially trusted relay of quantum key…

Information Theory · Computer Science 2020-03-30 Masahito Hayashi , Ning Cai

Quantum key distribution (QKD) allows for communication with security guaranteed by quantum theory. The main theoretical problem in QKD is to calculate the secret key rate for a given protocol. Analytical formulas are known for protocols…

Quantum Physics · Physics 2016-05-24 Patrick J. Coles , Eric M. Metodiev , Norbert Lütkenhaus

We present a complete protocol for BB84 quantum key distribution for a realistic setting (noise, loss, multi-photon signals of the source) that covers many of todays experimental implementations. The security of this protocol is shown…

Quantum Physics · Physics 2007-07-10 Hitoshi Inamori , Norbert Lütkenhaus , Dominic Mayers

The maximum operational range of continuous variable quantum key distribution protocols has shown to be improved by employing high-efficiency forward error correction codes. Typically, the secret key rate model for such protocols is…

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

We present a new technique for proving the security of quantum key distribution (QKD) protocols. It is based on direct information-theoretic arguments and thus also applies if no equivalent entanglement purification scheme can be found.…

Quantum Physics · Physics 2009-11-11 R. Renner , N. Gisin , B. Kraus

In this paper we derive a key rate expression for the extended version of the B92 quantum key distribution protocol that takes into account, for the first time, the effects of operating with finite resources. With this expression, we…

Quantum Physics · Physics 2020-01-17 Omar Amer , Walter O. Krawec

We present here an information theoretic study of Gaussian collective attacks on the continuous variable key distribution protocols based on Gaussian modulation of coherent states. These attacks, overlooked in previous security studies,…

Quantum Physics · Physics 2009-11-10 Frederic Grosshans

I prove the security of quantum key distribution against individual attacks for realistic signals sources, including weak coherent pulses and downconversion sources. The proof applies to the BB84 protocol with the standard detection scheme…

Quantum Physics · Physics 2009-10-31 Norbert Lütkenhaus

Quantum key distribution is the most well-known application of quantum cryptography. Previous proposed proofs of security of quantum key distribution contain various technical subtleties. Here, a conceptually simpler proof of security of…

Quantum Physics · Physics 2008-11-26 Hoi-Kwong Lo

The key rate of the B92 quantum key distribution protocol had not been reported before this research when the number of qubits is finite. We compute it by using the security analysis framework proposed by Scarani and Renner in 2008.

Quantum Physics · Physics 2016-11-18 Hiroaki Sasaki , Ryutaroh Matsumoto , Tomohiko Uyematsu