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We investigate the advantages of high-dimensional encoding for a quantum key distribution protocol. In particular, we address a BBM92-like protocol where the dimension of the systems can be larger than two and more than two mutually…

Quantum Physics · Physics 2026-04-21 Nikolai Wyderka , Giovanni Chesi , Hermann Kampermann , Chiara Macchiavello , Dagmar Bruß

Quantum key distribution (QKD) allows for secure communications safe against attacks by quantum computers. QKD protocols are performed by sending a sizeable, but finite, number of quantum signals between the distant parties involved. Many…

Quantum Physics · Physics 2021-01-05 Darius Bunandar , Luke C. G. Govia , Hari Krovi , Dirk R. Englund

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

We develop a method to connect the infinite-dimensional description of optical continuous-variable quantum key distribution (QKD) protocols to a finite-dimensional formulation. The secure key rates of the optical QKD protocols can then be…

Quantum Physics · Physics 2021-05-26 Twesh Upadhyaya , Thomas van Himbeeck , Jie Lin , Norbert Lütkenhaus

We investigate the security bounds of quantum cryptographic protocols using $d$-level systems. In particular, we focus on schemes that use two mutually unbiased bases, thus extending the BB84 quantum key distribution scheme to higher…

Quantum Physics · Physics 2007-05-23 Georgios M. Nikolopoulos , Gernot Alber

Finite key analysis of quantum key distribution (QKD) is an important tool for any QKD implementation. While much work has been done on the framework of finite key analysis, the application to individual protocols often relies on the the…

Quantum Physics · Physics 2021-03-29 Ian George , Jie Lin , Norbert Lütkenhaus

We present security proofs for a protocol for Quantum Key Distribution (QKD) based on encoding in finite high-dimensional Hilbert spaces. This protocol is an extension of Bennett's and Brassard's basic protocol from two bases, two state…

Quantum Physics · Physics 2009-11-07 Mohamed Bourennane , Anders Karlsson , Gunnar Bjork , Nicolas Gisin , Nicolas Cerf

Compared with two-level quantum key distribution (QKD), highdimensional QKD enable two distant parties to share a secret key at a higher rate. We provide a finite-key security analysis for the recently proposed practical highdimensional…

Quantum Physics · Physics 2016-06-08 Haize Bao , Wansu Bao , Yang Wang , Chun Zhou , Ruike Chen

It is known that measurement-device-independent quantum key distribution (MDI-QKD) provides ultimate security from all types of side-channel attack against detectors at the expense of low key generation rate. Here, we propose MDI-QKD using…

Quantum Physics · Physics 2017-03-08 Yonggi Jo , Wonmin Son

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

Satellite and CubeSat-based quantum key distribution (QKD) presents a promising solution for secure long-distance communication by transmitting quantum keys through free space, with CubeSats offering a compact, cost-effective, and scalable…

Quantum Physics · Physics 2025-05-22 Muskan , Arindam Dutta , Subhashish Banerjee

In this work, we present a reliable, efficient, and tight numerical method for calculating key rates for finite-dimensional quantum key distribution (QKD) protocols. We illustrate our approach by finding higher key rates than those…

Quantum Physics · Physics 2018-07-30 Adam Winick , Norbert Lütkenhaus , Patrick J. Coles

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

Quantum key distribution (QKD) offers a reliable solution to communication problems that require long-term data security. For its widespread use, however, the rate and reach of QKD systems must be improved. Twin-field (TF) QKD is a step…

We introduce a constructive method to calculate the achievable secret key rate for a generic class of quantum key distribution protocols, when only a finite number n of signals is given. Our approach is applicable to all scenarios in which…

Quantum Physics · Physics 2007-05-23 Tim Meyer , Hermann Kampermann , Matthias Kleinmann , Dagmar Bruss

We provide security bounds against coherent attacks for two families of quantum key distribution protocols that use $d$-dimensional quantum systems. In the asymptotic regime, both the secret key rate for fixed noise and the robustness to…

Quantum Physics · Physics 2015-03-13 Lana Sheridan , Valerio Scarani

Variations of phase-matching measurement-device-independent quantum key distribution (PM-MDI QKD) protocols have been investigated before, but it was recently discovered that this type of protocol (under the name of twin-field QKD) can beat…

Quantum Physics · Physics 2018-10-30 Jie Lin , Norbert Lütkenhaus

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

The passive approach to quantum key distribution (QKD) consists of eliminating all optical modulators and random number generators from QKD systems, in so reaching an enhanced simplicity, immunity to modulator side channels, and potentially…

Quantum Physics · Physics 2025-04-01 Víctor Zapatero , Marcos Curty

In this paper we derive a new bound on the secret key-rate of the High Dimensional BB84 protocol operating with multiple mutually unbiased bases (MUBs). To our knowledge, our proof is the first for this protocol that is both general (in…

Quantum Physics · Physics 2025-04-16 Trevor N. Thomas , Walter O. Krawec
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