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We analyze the performance of quantum key distribution (QKD) protocols that rely on discrete phase randomization (DPR). For many QKD protocols that rely on weak coherent pulses (WCPs), continuous phase randomization is assumed, which…

Quantum Physics · Physics 2026-03-05 Zhaohui Liu , Ahmed Lawey , Mohsen Razavi

Quantum Cryptography or Quantum key distribution (QKD) is a technique that allows the secure distribution of a bit string, used as key in cryptographic protocols. When it was noted that quantum computers could break public key cryptosystems…

Cryptography and Security · Computer Science 2010-07-15 Mohamed Elboukhari , Mostafa Azizi , Abdelmalek Azizi

In this article we present a new prepare and measure quantum key distribution protocol that decouples the necessary quantum channel error estimation from its dependency on sifting, or otherwise post-selecting, the detection outcomes. Rather…

Quantum Physics · Physics 2017-02-27 James E. Troupe , Jacob M. Farinholt

Quantum key distribution (QKD) allows two users to communicate with theoretically provable secrecy by encoding information on photonic qubits. Current encoders are complex, however, which reduces their appeal for practical use and…

While ideal quantum key distribution (QKD) systems are well-understood, practical implementations face various vulnerabilities, such as side-channel attacks resulting from device imperfections. Current security proofs for decoy-state BB84…

Quantum Physics · Physics 2025-06-18 Jerome Wiesemann , Fadri Grünenfelder , Ana Blázquez , Nino Walenta , Davide Rusca

Ideal quantum key distribution (QKD) protocols call for a source that emits single photon signals, but the sources used in typical practical realizations emit weak coherent states instead. A weak coherent state may contain more than one…

Quantum Physics · Physics 2007-05-23 Hoi-Kwong Lo , John Preskill

We devise a new quantum key distribution scheme that is more efficient than the BB84 protocol. By pre-announcing basis, Alice and Bob are more likely to use the same basis to prepare and measure the qubits, thus achieves a higher…

Quantum Physics · Physics 2015-06-23 Jingliang Gao , Changhua Zhu , Heling Xiao

Standard protocols for quantum key distribution (QKD) require that the sender be able to transmit in two or more mutually unbiased bases. Here, we analyze the extent to which the performance of QKD is degraded by diffraction effects that…

A Quantum Key Distribution (QKD) protocol describes how two remote parties can establish a secret key by communicating over a quantum and a public classical channel that both can be accessed by an eavesdropper. QKD protocols using…

Information Theory · Computer Science 2020-01-27 Esmaeil Karimi , Emina Soljanin , Philip Whiting

Quantum key distribution (QKD) is the most explored application of quantum information theory. A central problem in entanglement-based QKD (EB-QKD), is whether every entangled state can be used to extract a key. We observe that entanglement…

Quantum Physics · Physics 2026-03-09 Shubhayan Sarkar , Tushita Prasad , Karol Horodecki

Quantum key distribution (QKD) allows two remote parties to share information-theoretically secure keys. In recent years, a revolutionary breakthrough called twin-field (TF) QKD has been developed to overcome the linear key-rate constraint…

Quantum Physics · Physics 2022-11-24 Yao Zhou , Zhen-Qiang Yin , Rui-Qiang Wang , Shuang Wang , Wei Chen , Guang-Can Guo , Zheng-Fu Han

We review the current status of security proofs for practical decoy-state Quantum Key Distribution using the BB84 protocol, focusing on optical implementations with weak coherent pulses and threshold photodetectors. The primary aim of this…

Quantum Physics · Physics 2025-05-19 Devashish Tupkary , Ernest Y. -Z. Tan , Shlok Nahar , Lars Kamin , Norbert Lütkenhaus

This study proposes a quantum secret authentication code for protecting the integrity of secret quantum states. Since BB84[1] was first proposed, the eavesdropper detection strategy in almost all quantum cryptographic protocols is based on…

Quantum Physics · Physics 2011-08-18 Tong-Xuan Wei , Tzonelih Hwang , Chia-Wei Tsai

Decoy state protocols are a useful tool for many quantum key distribution systems implemented with weak coherent pulses, allowing significantly better secret bit rates and longer maximum distances. In this paper we present a method to…

Quantum Physics · Physics 2009-01-23 Patrick Rice , Jim Harrington

Error mitigation is one of the key challenges in realising the full potential of quantum cryptographic protocols. Consequently, there is a lot of interest in adapting techniques from quantum error correction (QEC) to improve the robustness…

Quantum Physics · Physics 2022-10-12 Shashank Kumar Ranu , Anil Prabhakar , Prabha Mandayam

We consider two quantum cryptographic schemes relying on encoding the key into qudits, i.e. quantum states in a d-dimensional Hilbert space. The first cryptosystem uses two mutually unbiased bases (thereby extending the BB84 scheme), while…

Quantum Physics · Physics 2009-11-07 Nicolas J. Cerf , Mohamed Bourennane , Anders Karlsson , Nicolas Gisin

We address the problem of optimal estimation of the relative phase for two-dimensional quantum systems in mixed states. In particular, we derive the optimal measurement procedures for an arbitrary number of qubits prepared in the same mixed…

Quantum Physics · Physics 2007-05-23 Giacomo Mauro D'Ariano , Chiara Macchiavello , Paolo Perinotti

A general framework of optimal eavesdropping on BB84 protocol was provided by Fuchs et al. [Phys. Rev. A, 1997]. An upper bound on mutual information was derived, which could be achieved by a specific type of interaction and the…

Quantum Physics · Physics 2017-03-06 Atanu Acharyya , Goutam Paul

We investigate the error tolerance of quantum cryptographic protocols using $d$-level systems. In particular, we focus on prepare-and-measure schemes that use two mutually unbiased bases and a key-distillation procedure with two-way…

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

All known QKD protocols require the parties to discard the results when they have chosen differen bases. In this paper we show that it is not necessary. We give examples of QKD protocols that are as safe as standard ones but do not involve…

Quantum Physics · Physics 2011-11-10 Marcin Pawlowski