量子密鑰分發(fā)協(xié)議的有限密鑰安全性分析
發(fā)布時(shí)間:2018-01-24 16:38
本文關(guān)鍵詞: 有限密鑰分析 統(tǒng)計(jì)波動(dòng) 最優(yōu)化問(wèn)題 被動(dòng)式誘騙態(tài) 測(cè)量器件無(wú)關(guān) 出處:《北京郵電大學(xué)》2014年博士論文 論文類(lèi)型:學(xué)位論文
【摘要】:受通信時(shí)間、存儲(chǔ)能力等因素的限制,量子通信中通信雙方傳輸?shù)拿}沖數(shù)只能是有限個(gè),因此分析量子密鑰分發(fā)協(xié)議的有限密鑰安全性成為實(shí)現(xiàn)量子通信的重要前提。 在實(shí)際的量子通信中,器件的非理想性極大地影響著協(xié)議的安全性,本論文針對(duì)主要器件的實(shí)際情況進(jìn)行討論,分析了基于非理想器件的量子密鑰分發(fā)協(xié)議的有限密鑰安全性,具體研究?jī)?nèi)容如下: 針對(duì)非理想的單光子光源,建立了基于相位隨機(jī)的弱相干光源的誘騙態(tài)量子密鑰分發(fā)協(xié)議的有限密鑰模型,將協(xié)議的安全性分析轉(zhuǎn)化為安全密鑰率的求解問(wèn)題。考慮脈沖個(gè)數(shù)對(duì)協(xié)議中參數(shù)的統(tǒng)計(jì)規(guī)律的影響,構(gòu)建了以密鑰率最小值為目標(biāo)函數(shù)的最優(yōu)化問(wèn)題,利用非線性規(guī)劃問(wèn)題的一般解法,得到了安全密鑰率的一個(gè)下界以及安全傳輸距離的最大值,完善了量子密鑰分發(fā)協(xié)議的實(shí)際應(yīng)用研究。 針對(duì)存在誘騙信息泄露問(wèn)題的PlugPlay通信系統(tǒng),結(jié)合兩種不同光源一一參量下轉(zhuǎn)換過(guò)程產(chǎn)生的光源和相位隨機(jī)的弱相干光源,分析了被動(dòng)式誘騙態(tài)量子密鑰分發(fā)協(xié)議的有限安全密鑰率,并討論了光強(qiáng)起伏對(duì)協(xié)議安全性的影響,得到了參量下轉(zhuǎn)換過(guò)程產(chǎn)生的光源更適用于實(shí)際量子通信。 針對(duì)非理想的探測(cè)器,為了抵抗其上的邊信道攻擊,分析了測(cè)量器件無(wú)關(guān)量子密鑰分發(fā)協(xié)議的有限密鑰安全性,得到了通信雙方之間傳輸?shù)拿}沖個(gè)數(shù)與安全密鑰率、安全傳輸距離之間的數(shù)學(xué)關(guān)系。通過(guò)對(duì)參數(shù)的合理估值,得到了幾種典型密鑰長(zhǎng)度下安全密鑰率的一個(gè)下界與傳輸距離的關(guān)系。
[Abstract]:Due to the limitation of communication time, storage capacity and other factors, the number of pulses transmitted by both sides in quantum communication can only be limited. Therefore, it is an important prerequisite for quantum communication to analyze the security of quantum key distribution protocol (QKD). In the actual quantum communication, the non-ideality of the device greatly affects the security of the protocol. In this paper, the actual situation of the main devices is discussed. The finite key security of quantum key distribution protocol based on non-ideal devices is analyzed. A finite key model of decoy state quantum key distribution protocol based on phase random weak coherent light source is established for non-ideal single photon light source. The security analysis of the protocol is transformed into the solution of the security key rate. Considering the influence of the number of pulses on the statistical rule of the parameters in the protocol, the optimization problem with the minimum key rate as the objective function is constructed. A lower bound of the secure key rate and the maximum of the secure transmission distance are obtained by using the general solution of the nonlinear programming problem, and the practical application research of the quantum key distribution protocol is improved. For the PlugPlay communication system which has the problem of decoy information leakage, combining two different light sources one by one parametric downconversion process and phase random weak coherent light source. The limited security key rate of passive decoy quantum key distribution protocol is analyzed, and the influence of light intensity fluctuation on the security of the protocol is discussed. It is obtained that the light source generated by parametric downconversion is more suitable for practical quantum communication. In order to resist the edge channel attack on the non-ideal detector, the finite key security of the measurement device independent quantum key distribution protocol is analyzed. The mathematical relationship between the number of pulses transmitted between the two sides of the communication and the security key rate and the secure transmission distance is obtained, and the reasonable estimation of the parameters is obtained. The relation between a lower bound of the security key rate and the transmission distance under several typical key lengths is obtained.
【學(xué)位授予單位】:北京郵電大學(xué)
【學(xué)位級(jí)別】:博士
【學(xué)位授予年份】:2014
【分類(lèi)號(hào)】:O413.1;TN918.4
【參考文獻(xiàn)】
相關(guān)期刊論文 前1條
1 ;Field experiment on a robust hierarchical metropolitan quantum cryptography network[J];Chinese Science Bulletin;2009年17期
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