scholarly journals Improving Parameter Estimation of Entropic Uncertainty Relation in Continuous-Variable Quantum Key Distribution

Entropy ◽  
2019 ◽  
Vol 21 (7) ◽  
pp. 652 ◽  
Author(s):  
Ziyang Chen ◽  
Yichen Zhang ◽  
Xiangyu Wang ◽  
Song Yu ◽  
Hong Guo
Keyword(s):  
Parameter Estimation ◽  
Quantum Key Distribution ◽  
Uncertainty Relation ◽  
Finite Size ◽  
Key Distribution ◽  
Continuous Variable ◽  
Modulation Method ◽  
Statistical Fluctuation ◽  
Entropic Uncertainty Relation ◽  
Security Proof

The entropic uncertainty relation (EUR) is of significant importance in the security proof of continuous-variable quantum key distribution under coherent attacks. The parameter estimation in the EUR method contains the estimation of the covariance matrix (CM), as well as the max-entropy. The discussions in previous works have not involved the effect of finite-size on estimating the CM, which will further affect the estimation of leakage information. In this work, we address this issue by adapting the parameter estimation technique to the EUR analysis method under composable security frameworks. We also use the double-data modulation method to improve the parameter estimation step, where all the states can be exploited for both parameter estimation and key generation; thus, the statistical fluctuation of estimating the max-entropy disappears. The result shows that the adapted method can effectively estimate parameters in EUR analysis. Moreover, the double-data modulation method can, to a large extent, save the key consumption, which further improves the performance in practical implementations of the EUR.

scholarly journals Finite-size security of continuous-variable quantum key distribution with digital signal processing

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Takaya Matsuura ◽  
Kento Maeda ◽  
Toshihiko Sasaki ◽  
Masato Koashi
Keyword(s):  
Signal Processing ◽  
Wavelength Division Multiplexing ◽  
Quantum Key Distribution ◽  
Finite Size ◽  
Digital Signal ◽  
Key Distribution ◽  
Continuous Variable ◽  
Wavelength Division ◽  
Security Proof ◽  
Proof Techniques

AbstractIn comparison to conventional discrete-variable (DV) quantum key distribution (QKD), continuous-variable (CV) QKD with homodyne/heterodyne measurements has distinct advantages of lower-cost implementation and affinity to wavelength division multiplexing. On the other hand, its continuous nature makes it harder to accommodate to practical signal processing, which is always discretized, leading to lack of complete security proofs so far. Here we propose a tight and robust method of estimating fidelity of an optical pulse to a coherent state via heterodyne measurements. We then construct a binary phase modulated CV-QKD protocol and prove its security in the finite-key-size regime against general coherent attacks, based on proof techniques of DV QKD. Such a complete security proof is indispensable for exploiting the benefits of CV QKD.

scholarly journals Simple security proofs for continuous variable quantum key distribution with intensity fluctuating sources

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Chenyang Li ◽  
Li Qian ◽  
Hoi-Kwong Lo
Keyword(s):  
Quantum Key Distribution ◽  
Distribution Systems ◽  
Finite Size ◽  
Key Distribution ◽  
Continuous Variable ◽  
Discrete Variable ◽  
Security Proofs ◽  
Security Proof ◽  
Main Technique ◽  
Secret Keys

AbstractDespite tremendous theoretical and experimental progress in continuous variable (CV) quantum key distribution (QKD), the security has not been rigorously established for most current continuous variable quantum key distribution systems that have imperfections. Among these imperfections, intensity fluctuation is one of the principal problems affecting security. In this paper, we provide simple security proofs for continuous variable quantum key distribution systems with intensity fluctuating sources. Specifically, depending on device assumptions in the source, the imperfect systems are divided into two general cases for security proofs. In the most conservative case, we prove the security based on the tagging idea, which is a main technique for the security proof of discrete variable quantum key distribution. Our proofs are simple to implement without any hardware adjustment for current continuous variable quantum key distribution systems. Also, we show that our proofs are able to provide secure secret keys in the finite-size scenario.

scholarly journals Tight finite-key analysis for quantum key distribution without monitoring signal disturbance

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Hang Liu ◽  
Zhen-Qiang Yin ◽  
Rong Wang ◽  
Ze-Hao Wang ◽  
Shuang Wang ◽  
...  
Keyword(s):  
Phase Shift ◽  
Quantum Key Distribution ◽  
Uncertainty Relation ◽  
Key Distribution ◽  
Differential Phase Shift ◽  
Entropic Uncertainty Relation ◽  
Security Proof ◽  
Azuma's Inequality ◽  
Shed Light ◽  
Phase Randomization

AbstractUnlike traditional communication, quantum key distribution (QKD) can reach unconditional security and thus attracts intensive studies. Among all existing QKD protocols, round-robin-differential-phase-shift (RRDPS) protocol can be running without monitoring signal disturbance, which significantly simplifies its flow and improves its tolerance of error rate. Although several security proofs of RRDPS have been given, a tight finite-key analysis with a practical phase-randomized source is still missing. In this paper, we propose an improved security proof of RRDPS against the most general coherent attack based on the entropic uncertainty relation. What’s more, with the help of Azuma’s inequality, our proof can tackle finite-key effects primely. The proposed finite-key analysis keeps the advantages of phase randomization source and indicates experimentally acceptable numbers of pulses are sufficient to approach the asymptotical bound closely. The results shed light on practical QKD without monitoring signal disturbance.

scholarly journals Security Analysis of Discrete-Modulated Continuous-Variable Quantum Key Distribution over Seawater Channel

2019 ◽  
Vol 9 (22) ◽  
pp. 4956 ◽  
Author(s):  
Xinchao Ruan ◽  
Hang Zhang ◽  
Wei Zhao ◽  
Xiaoxue Wang ◽  
Xuan Li ◽  
...  
Keyword(s):  
Quantum Key Distribution ◽  
Secure Communication ◽  
Security Analysis ◽  
Finite Size ◽  
Key Distribution ◽  
Continuous Variable ◽  
Heterodyne Detection ◽  
Secret Key ◽  
Transmission Distance ◽  
Better Than

We investigate the optical absorption and scattering properties of four different kinds of seawater as the quantum channel. The models of discrete-modulated continuous-variable quantum key distribution (CV-QKD) in free-space seawater channel are briefly described, and the performance of the four-state protocol and the eight-state protocol in asymptotic and finite-size cases is analyzed in detail. Simulation results illustrate that the more complex is the seawater composition, the worse is the performance of the protocol. For different types of seawater channels, we can improve the performance of the protocol by selecting different optimal modulation variances and controlling the extra noise on the channel. Besides, we can find that the performance of the eight-state protocol is better than that of the four-state protocol, and there is little difference between homodyne detection and heterodyne detection. Although the secret key rate of the protocol that we propose is still relatively low and the maximum transmission distance is only a few hundred meters, the research on CV-QKD over the seawater channel is of great significance, which provides a new idea for the construction of global secure communication network.

Finite-size analysis of continuous-variable quantum key distribution with entanglement in the middle

2019 ◽  
Vol 28 (1) ◽  
pp. 010305 ◽  
Author(s):  
Ying Guo ◽  
Yu Su ◽  
Jian Zhou ◽  
Ling Zhang ◽  
Duan Huang
Keyword(s):  
Quantum Key Distribution ◽  
Finite Size ◽  
Key Distribution ◽  
Continuous Variable ◽  
Size Analysis

scholarly journals Finite-key analysis for twin-field quantum key distribution with composable security

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Hua-Lei Yin ◽  
Zeng-Bing Chen
Keyword(s):  
Coherent State ◽  
Quantum Key Distribution ◽  
Key Distribution ◽  
Practical Implementation ◽  
Fluctuation Analysis ◽  
Statistical Fluctuation ◽  
Secret Key ◽  
Quantum Repeater ◽  
Long Distance ◽  
Security Proof

AbstractLong-distance quantum key distribution (QKD) has long time seriously relied on trusted relay or quantum repeater, which either has security threat or is far from practical implementation. Recently, a solution called twin-field (TF) QKD and its variants have been proposed to overcome this challenge. However, most security proofs are complicated, a majority of which could only ensure security against collective attacks. Until now, the full and simple security proof can only be provided with asymptotic resource assumption. Here, we provide a composable finite-key analysis for coherent-state-based TF-QKD with rigorous security proof against general attacks. Furthermore, we develop the optimal statistical fluctuation analysis method to significantly improve secret key rate in high-loss regime. The results show that coherent-state-based TF-QKD is practical and feasible, with the potential to apply over nearly one thousand kilometers.

scholarly journals Discrete Modulation Source Enhancement for Continuous Variable Quantum Key Distribution through Photon Catalyzing

2020 ◽  
Author(s):  
Zhengchun Zhou ◽  
Shanhua Zou ◽  
Yun Mao ◽  
Tongcheng Huang ◽  
Ying Guo
Keyword(s):  
Quantum Key Distribution ◽  
Key Distribution ◽  
Continuous Variable ◽  
High Rate ◽  
Practical Implementation ◽  
Statistical Fluctuation ◽  
Secret Key ◽  
Long Distance ◽  
Transmission Distance ◽  
Source Preparation

Establishing global high-rate secure communications is a potential application of continuous-variable quantum key distribution (CVQKD) but also challenging for long-distance transmissions in metropolitan areas. The discrete modulation(DM) can make up for the shortage of transmission distance that has a unique advantage against all side-channel attacks, however its further performance improvement requires source preparation in the presence of noise and loss. Here, we consider the effects of photon catalysis (PC) on the DM-involved source preparation for lengthening the maximal transmission distance of the CVQKD system. We address a zero-photon catalysis (ZPC)-based source preparation for enhancing the DM-CVQKD system. The statistical fluctuation due to the finite length of data is taken into account for the practical security analysis. Numerical simulations show that the ZPC-based DM-CVQKD system can not only achieve the extended maximal transmission distance, but also contributes to the reasonable increase of the secret key rate. This approach enables the DM-CVQKD to tolerate lower reconciliation efficiency, which may promote the practical implementation solutions compatible with classical optical communications using state-of-the-art technology.

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