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凸子格格的数量研究

中央民族大学学报（自然科学版） 2024年第3期33卷 54-61页

作者：黄端张昆龙中央民族大学理学院北京100081

本文主要研究了经过序和、三角和运算后形成的新格的凸子格格数目同原来的有限格凸子格格数目之间的数量关系,并将其进行了推广。在此基础上,得到了有限格凸子格格数目同格自身结构的一些特殊关系。

关键词：有限格凸子格凸子格格序和三角和

H_∞ CONTROL OF NETWORKED MULTI-AGENT SYSTEMS

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Journal of Systems Science & Complexity 2009年第1期22卷 35-48页

作者： Zhongkui LI Zhisheng duan Lin huang State Key Lab for Turbulence and Complex Systems and Department of Mechanics and Aerospace Engineering College of Engineering Peking University Beijing 100871 China.

This paper concerns the disturbance rejection problem arising in the coordination control of a group of autonomous agents subject to external disturbances. The agent network is said to possess a desired level of disturbance rejection, if the H∞ norm of its transfer function matrix from the disturbance to the controlled output is satisfactorily small. Undirected graph is used to represent the information flow topology among agents. It is shown that the disturbance rejection problem of an agent network can be solved by analyzing the H∞ control problem of a set of independent systems whose dimensions are equal to that of a single node. An interesting result is that the disturbance rejection ability of the whole agent network coupled via feedback of merely relative measurements between agents will never be better than that of an isolated agent. To improve this, local feedback injections are applied to a small fraction of tile agents in the network. Some criteria for possible performance improvement are derived in terms of linear matrix inequalities. Finally, extensions to the case when communication time delays exist are also discussed.

关键词： Coordination control graph theory H∞ control linear matrix inequality (LMI) pinning control.

Reconciliation for CV-QKD using globally-coupled LDPC codes

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Chinese Physics B 2020年第4期29卷 139-145页

作者： Jin-Jing Shi Bo-Peng Li duan huang School of Computer Science and Engineering Central South UniversityChangsha 410083China

Reconciliation is a necessary step in postprocessing of continuous-variable quantum key distribution(CV-QKD)*** use globally coupled low-density parity-check(GC-LDPC)codes in reconciliation to extract a precise secret key from the raw keys over the authenticated classical public channel between two ***-LDPC codes have excellent performance over both the additive Gaussian white noise and binary-erasure *** reconciliation based on GC-LDPC codes can improve the reconciliation efficiency to 95.42% and reduce the frame error rate to 3.25×10^-*** distillation,the decoding speed can achieve 23.8 Mbits/s and decrease the cost of *** decoding speed and low memory usage,this makes the proposed reconciliation method viable approach for high-speed CV-QKD system.

关键词： continuous-variable quantum key distribution globally coupled low-density parity-check reconciliation efficiency frame error rate

Simultaneous measurement-device-independent continuous variable quantum key distribution with realistic detector compensation

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Frontiers of physics 2020年第3期15卷 1-12页

作者： Xiao-Dong Wu Yi-Jun Wang duan huang Ying Guo School of Automation Central South UniversityChangsha410083China School of Computer Science and Engineering Central South UniversityChangsha410083China

We propose a novel scheme for measurement-device-independent(MDI)continuous-variable quantum key distribution(CVQKD)by simultaneously conducting classical communication and QKD,which is called“simultaneous MDI-CVQKD”*** such protocol,each sender(Alice,Bob)can superimpose random numbers for QKD on classical information by taking advantage of the same weak coherent pulse and an untrusted third party(Charlie)decodes it by using the same coherent detectors,which could be appealing in practice due to that multiple purposes can be realized by employing only single communication *** is more,the proposed protocol is MDI,which is immune to all possible side-channel attacks on practical *** results illustrate that the simultaneous MDI-CVQKD protocol can secure against arbitrary collective *** addition,we employ phase-sensitive optical amplifiers to compensate the imperfection existing in practical *** this technology,even common practical detectors can be used for detection through choosing a suitable optical amplifier ***,we also take the finite-size effect into consideration and show that the whole raw keys can be taken advantage of to generate the final secret key instead of sacrificing part of them for parameter ***,an enhanced performance of the simultaneous MDI-CVQKD protocol can be obtained in finite-size regime.

关键词： measurement-device-independent continuous-variable quantum key distribution simultaneous realistic detector compensation

Hybrid quantum private communication with continuous-variable and discrete-variable signals

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Science China(Physics,Mechanics & Astronomy) 2015年第2期58卷 14-20页

作者： LIU WeiQi PENG JinYe WANG Chao CAO ZhengWen huang duan LIN DaKai huang Peng ZENG GuiHua College of Information Science and Technology Northwest University State Key Laboratory of Advanced Optical Communication Systems and Networks and Center of Quantum Information Sensing and ProcessingShanghai Jiaotong University

The quantum key distribution(QKD) has been entering the practical application era. Subsequently, hybrid quantum private communication with discrete-variable signals, continuous-variable signals, and classic optical signals becomes inevitable in the practical scenario. In this paper, we experimentally investigated the mutual effects between the discrete-variable QKD(DVQKD) and the continuous-variable QKD(CVQKD) via a fiber channel. The experimental results show that the DVQKD will be influenced by the continuous-variable quantum signals and classic optical signals, while the CVQKD is not sensitive to the discrete-variable quantum signals.

关键词： hybrid quantum private communication Gaussian-modulated CVQKD protocol BB84 protocol mutual influences

A 300-MHz Bandwidth Balanced Homodyne Detector for Continuous Variable Quantum Key Distribution

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Chinese Physics Letters 2013年第11期30卷 117-119页

作者： huang duan FANG Jian WANG Chao huang Peng ZENG Gui-Hua State Key Laboratory of Advanced Optical Communication Systems and Networks Shanghai Jiaotong UniversityShanghai 200240

In Gaussian-modulated coherent-state quantum key distribution,the measurement of quadratures of coherent states is performed by using a homodyne ***,conventional detectors usually suffer from narrow *** present a method to design a high-speed shot-noise-limited balanced homodyne detector.A 300-MHz bandwidth detector is experimentally tested and the level of shot noise is 14 dB higher than the electronic *** results show that a detector with this method is potential to design a GHz bandwidth detector for continuous variable quantum key distribution at a low level of ratio of shot noise to electronic noise.

关键词： coherent quantum narrow

The effects of redundant control inputs in optimal control

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Science in China(Series F) 2009年第11期52卷 1973-1981页

作者： duan ZhiSheng huang Lin YANG Ying State Key Lab for Turbulence and Complex Systems and Department of Mechanics and Aerospace Engineering College of Engineering Peking University Beijing 100871 China

For a stabilizable system, the extension of the control inputs has no use for stabilizability, but it is important for optimal control. In this paper, a necessary and sufficient condition is presented to strictly decrease the quadratic optimal performance index after control input extensions. A similar result is also provided for H2 optimal control problem. These results show an essential difference between single-input and multi-input control systems. Several examples are taken to illustrate related problems.

关键词： redundant control optimal control Riccati equation Hamilton matrix

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

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Chinese Physics B 2019年第1期28卷 232-239页

作者： Ying Guo Yu Su Jian Zhou Ling Zhang duan huang School of Physics and Information Science Hunan Normal UniversityChangsha 410006China School of Automation Central South UniversityChangsha 410083China

Continuous-variable quantum key distribution(CVQKD) protocols with entanglement in the middle(EM) enable long maximal transmission distances for quantum communications. For the security analysis of the protocols, it is usually assumed that Eve performs collective Gaussian attacks and there is a lack of finite-size analysis of the protocols. However,in this paper we consider the finite-size regime of the EM-based CVQKD protocols by exposing the protocol to collective attacks and coherent attacks. We differentiate between the collective attacks and the coherent attacks while comparing asymptotic key rate and the key rate in the finite-size scenarios. Moreover, both symmetric and asymmetric configurations are collated in a contrastive analysis. As expected, the derived results in the finite-size scenarios are less useful than those acquired in the asymptotic regime. Nevertheless, we find that CVQKD with entanglement in the middle is capable of providing fully secure secret keys taking the finite-size effects into account with transmission distances of more than 30 km.

关键词： continuous-variable quantum key distribution entanglement in the middle finite-size coherent attack

On Hamiltonian Property of Cayley Digraphs

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Acta Mathematicae Applicatae Sinica 2024年第2期40卷 547-556页

作者： Fang duan Qiong-xiang huang School of Mathematics Science Xinjiang Normal UniversityUrumqi 830017China College of Mathematics and Systems Science Xinjiang UniversityUrumqi 830017China

Let G be a finite group generated by S and C(G,S) the Cayley digraphs of G with connection set *** this paper,we give some sufficient conditions for the existence of hamiltonian circuit in C(G,S),where G=Zm×H is a semiproduct of Zmby a subgroup H of *** particular,if m is a prime,then the Cayley digraph of G has a hamiltonian circuit unless G=Zm×*** addition,we introduce a new digraph operation,called φ-semiproduct of Γ1by Γ2and denoted by Γ1×Γ_φΓ2,in terms of mapping φ:V(Γ2)→{1,-1}.Furthermore we prove that C(Zm,{a})×_φ C(H,S) is also a Cayley digraph if φ is a homomorphism from H to{1,-1} ≤ Zm~*,which produces some classes of Cayley digraphs that have hamiltonian circuits.

关键词： Cayley digraphs hamiltonian circuit external semidirect product