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We establish a lower bound on the asymptotic secret key rate of continuous-variable quantum key distribution with a discrete modulation of coherent states. The bound is valid against collective attacks and is obtained by formulating the…

Quantum Physics · Physics 2019-06-27 Shouvik Ghorai , Philippe Grangier , Eleni Diamanti , Anthony Leverrier

We consider discrete-modulation protocols for continuous-variable quantum key distribution (CV-QKD) that employ a modulation constellation consisting of a finite number of coherent states and that use a homodyne or a heterodyne-detection…

Quantum Physics · Physics 2021-01-20 Eneet Kaur , Saikat Guha , Mark M. Wilde

We designed high-efficiency error correcting codes allowing to extract an errorless secret key in a continuous-variable quantum key distribution protocol using a Gaussian modulation of coherent states and a homodyne detection. These codes…

Quantum Physics · Physics 2015-05-30 Paul Jouguet , Sébastien Kunz-Jacques , Anthony Leverrier

Quantum key distribution (QKD) enables the establishment of secret keys between users connected via a channel vulnerable to eavesdropping, with information-theoretic security, that is, independently of the power of a malevolent party. QKD…

Continuous-variable quantum key distribution (CV QKD) protocols with discrete modulation are interesting due to their experimental simplicity and their great potential for massive deployment in the quantum-secured networks, but their…

Quantum Physics · Physics 2020-01-01 Jie Lin , Twesh Upadhyaya , Norbert Lütkenhaus

Consider the problem of using a finite set of coherent states to distribute secret keys over a quantum channel. It is known that computing the exact secret key rate in this scenario is intractable due to the infinite dimensionality of the…

Quantum Physics · Physics 2023-06-05 Micael Andrade Dias , Francisco Marcos de Assis

In this paper, we consider continuous-variable quantum key distribution with a discrete modulation, either binary or quaternary. We establish the security of these protocols against the class of collective attacks that induce a linear…

Quantum Physics · Physics 2015-03-13 Anthony Leverrier , Philippe Grangier

Discrete-modulation continuous-variable quantum key distribution has the potential for large-scale deployment in the secure quantum communication networks due to low implementation complexity and compatibility with the current telecom…

Quantum Physics · Physics 2023-12-14 Pu Wang , Jianqiang Liu , Zhenguo Lu , Xuyang Wang , Yongmin Li

We present a discretely modulated continuous-variable quantum key distribution system in free space by using strong coherent states. The amplitude noise in the laser source is suppressed to the shot-noise limit by using a mode cleaner…

Quantum Physics · Physics 2015-05-18 Yong Shen , Hongxin Zou , Liang Tian , Pingxing Chen , Jianmin Yuan

A high-rate continuous-variable quantum key distribution (CV-QKD) system based on high-order discrete modulation is experimentally investigated. With the help of the novel system scheme, effective digital signal processing algorithms and…

Quantum Physics · Physics 2023-03-22 Yan Pan , Heng Wang , Yun Shao , Yaodi Pi , Yang Li , Bin Liu , Wei Huang , Bingjie Xu

Most continuous-variable quantum key distribution schemes are based on the Gaussian modulation of coherent states followed by continuous quadrature detection using homodyne detectors. In all previous schemes, the Gaussian modulation has…

Quantum Physics · Physics 2016-09-06 Tobias Gehring , Christian S. Jacobsen , Ulrik L. Andersen

Continuous-variable quantum key distribution holds the potential to generate high secret key rates, making it a prime candidate for high-rate metropolitan quantum network applications. However, despite these promising opportunities, the…

Quantum Physics · Physics 2025-03-17 Mingze Wu , Yan Pan , Junhui Li , Heng Wang , Lu Fan , Yun Shao , Yang Li , Wei Huang , Song Yu , Bingjie Xu , Yichen Zhang

Continuous-variable quantum key distribution holds the potential to generate high secret key rates, making it a prime candidate for high-rate metropolitan quantum network applications. However, despite these promising opportunities, the…

Quantum Physics · Physics 2025-03-20 Mingze Wu , Yan Pan , Junhui Li , Heng Wang , Lu Fan , Yun Shao , Yang Li , Wei Huang , Song Yu , Bingjie Xu , Yichen Zhang

We propose the continuous-variable quantum key distribution protocol based on the Gaussian modulation of a single quadrature of the coherent states of light, which is aimed to provide simplified implementation compared to the symmetrically…

Quantum Physics · Physics 2016-01-12 Vladyslav C. Usenko , Frédéric Grosshans

We use single homodyne detector to accomplish Continuous-Variable quantum key distribution(CV QKD) in a laboratory and urban environment free-space channel. This is based on Gaussian modulation with coherent-states in the polarization…

Quantum Physics · Physics 2019-07-24 Shi-Yang Shen , Ming-Wei Dai , Xue-Tao Zheng , Qi-Yao Sun , Bing Zhu , Guang-Can Guo , Zheng-Fu Han

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

Continuous-variable (CV) quantum key distribution (QKD) allows for quantum secure communication with the benefit of being close to existing classical coherent communication. In recent years, CV QKD protocols using a discrete number of…

Quantum continuous variables are being explored as an alternative means to implement quantum key distribution, which is usually based on single photon counting. The former approach is potentially advantageous because it should enable higher…

Quantum Physics · Physics 2009-11-10 F. Grosshans , G. Van Assche , J. Wenger , R. Brouri , N. J. Cerf , Ph. Grangier

Continuous variable quantum key distribution (CVQKD) with discrete modulation combines advantages of CVQKD, such as the implementability using readily available technologies, with advantages of discrete variable quantum key distribution,…

Quantum Physics · Physics 2025-02-13 Carlos Pascual-García , Stefan Bäuml , Mateus Araújo , Rotem Liss , Antonio Acín

Here, we demonstrate that a practical Continuous Variables Quantum Key Distribution (CVQKD) protocol relying on the Gaussian modulation of coherent states features secret key rates that cannot be achieved with standard qubit Discrete…

Quantum Physics · Physics 2014-10-24 Paul Jouguet , David Elkouss , Sébastien Kunz-Jacques
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