1.55 μm升频单光子探测量子密钥分配系统的性能研究

分析了1.55 μm升频单光子探测量子密钥分配(QKD)系统的性能,讨论了升频单光子探测器的主要参数：量子效率和暗计数与抽运功率的关系.比较了BB84协议、BBM92协议和DPSK协议的光纤QKD系统的性能：安全通信速率与距离的关系,通过比较得出升频探测器优于传统的InGaAs/InP雪崩二极管单光子探测器,用升频探测器后的通信距离能比传统的大两倍以上,能很好改善量子通信系统的性能. 关键词： 量子效率 通信速率 暗计数     

Security of the Decoy State Two-Way Quantum Key Distribution with Finite Resources

The quantum key distribution(QKD) allows two parties to share a secret key by typically making use of a one-way quantum channel However,the two-way QKD has its own unique advantages,which means the two-way QKD has become a focus recently.To improve the practical performance of the two-way QKD,we present a security analysis of a two-way QKD protocol based on the decoy method with heralded single-photon sources(HSPSs).We make use of two approaches to calculate the yield and the quantum bit error rate of single-photon and two-photon pulses.Then we present the secret key generation rate based on the GLLP formula.The numerical simulation shows that the protocol with HSPSs has an advantage in the secure distance compared with weak coherent state sources.In addition,we present the final secret key generation rate of the LM05 protocol with finite resources by considering the statistical fluctuation of the yield and the error rate.     

Proof-of-principle experimental demonstration of quantum secure imaging based on quantum key distribution

We present a quantum secure imaging(QSI) scheme based on the phase encoding and weak+vacuum decoy-state BB84 protocol of quantum key distribution(QKD). It allows us to implement a computational ghost imaging(CGI) system with more simplified equipment and reconstructed algorithm by using a digital micro-mirror device(DMD) to preset the specific spatial distribution of the light intensity. What is more, the quantum bit error rate(QBER) and the secure key rate analytical functions of QKD are used to see through the intercept-resend jamming attacks and ensure the authenticity of the imaging information. In the experiment, we obtained the image of the object quickly and efficiently by measuring the signal photon counts with a single-photon detector(SPD), and achieved a secure key rate of 571.0 bps and a secure QBER of 3.99%, which is well below the lower bound of QBER of 14.51%. Besides, our imaging system uses a laser with invisible wavelength of 1550 nm, whose intensity is as low as single-photon, that can realize weak-light imaging and is immune to the stray light or air turbulence, thus it will become a better choice for quantum security radar against intercept-resend jamming attacks.     

量子密钥分配系统中的通信速率和误码率

基于通信速率和误码率在量子保密通信研究中的重要性, 采用1.55 μm上转换单光子探测器, 分析其量子效率随抽运功率的变化关系, 得出1.55 μm上转换单光子探测器较传统的铟镓砷二极管具有较高的量子效率和较低暗计数的优势, 并根据通信距离、上转换单光子探测器的量子效率和暗计数之间建立一种平衡, 得出每种距离上探测器的优化方案; 在考虑个体攻击无量子记忆的条件下, 比较BB84协议, BBM92协议和差分相移协议的量子密钥分配(QKD)系统的安全通信速率和误码率随通信距离的变化关系, 得出了差分相移键控协议的量子密钥分配系统是一个非常实用的, 通信距离大于200 km的很有吸引力的长距离量子密钥分配系统。     

基于弱相干光的实际QKD系统的安全性研究

实际量子密钥分发系统使用的单光子源主要是由弱激光脉冲经衰减得到。它不是理想单光子源而是服从泊松分布的准单光子源。每个非空光脉冲中包含多光子的概率不为零,强大的窃听者可利用此获得一些关于最终密钥的信息。因此,有必要研究实际QKD系统的安全性。采用对多光子进行分束窃听、单光子最佳攻击相结合的方案,用Shannon信息理论分析了基于弱相干光的实际QKD系统的安全性。研究结果表明实际QKD系统对于分束窃听和最佳攻击是安全的,并给出合法通信双方在该攻击方案下所容忍的误码率上限。     

Performance of passive decoy-state quantum key distribution with mismatched local detectors

In quantum key distribution(QKD),the passive decoy-state method can simplify the intensity modulation and reduce some of side-channel information leakage and modulation errors.It is usually implemented with a heralded single-photon source.In Wang et al 2016(Phys.Rev.A 96032312),a novel passive decoy-state method is proposed by Wang et al,which uses two local detectors to generate more detection events for tightly estimating channel parameters.However,in the original scheme,the two local detectors are assumed to be identical,including the same detection efficiency and dark count rate,which is often not satisfied in the realistic experiment.In this paper,we construct a model for this passive decoy-state QKD scheme with two mismatched detectors and explore the effect on QKD performance with certain parameters.We also take the finite-size effect into consideration,showing the performance with statistical fluctuations.The results show that the efficiencies of local detectors affect the key rate more obviously than dark count rates.     

Energy Conservation in Distributed Interference as a Guarantee for Detecting a Detector Blinding Attack in Quantum Cryptography

Journal of Experimental and Theoretical Physics - An avalanche single-photon detector blinding attack is one of the methods for quantum hacking of quantum key distribution (QKD) systems. The attack...     

Performance optimization for quantum key distribution in lossy channel using entangled photons

In quantum key distribution(QKD), the times of arrival of single photons are important for the keys extraction and time synchronization. The time-of-arrival(TOA) accuracy can affect the quantum bit error rate(QBER) and the final key rate. To achieve a higher accuracy and a better QKD performance, different from designing more complicated hardware circuits, we present a scheme that uses the mean TOA of M frequency-entangled photons to replace the TOA of a single photon. Moreover, to address the problem that the entanglement property is usually sensitive to the photon loss in practice,we further propose two schemes, which adopt partially entangled photons and grouping-entangled photons, respectively.In addition, we compare the effects of these three alternative schemes on the QKD performance and discuss the selection strategy for the optimal scheme in detail. The simulation results show that the proposed schemes can improve the QKD performance compared to the conventional single-photon scheme obviously, which demonstrate the effectiveness of the proposed schemes.     

Controlling a sine wave gating single-photon detector by exploiting its filtering loophole

GHz single-photon detector(SPD) is a crucial part in the practical high speed quantum key distribution(QKD) system.However, any imperfections in a practical QKD system may be exploited by an eavesdropper(Eve) to collect information about the key without being discovered. The sine wave gating SPD(SG-SPD) based on InGaAs/InP avalanche photodiode,one kind of practical high speed SPD, may also contain loopholes. In this paper, we study the principle and characteristic of the SG-SPD and find out the filtering loophole of the SG-SPD for the first time. What is more, the proof-of-principle experiment shows that Eve could blind and control Bob's SG-SPD by exploiting this loophole. We believe that giving enough attention to this loophole can improve the practical security of the existing QKD system.     

Unconditional security of a three state quantum key distribution protocol

Quantum key distribution (QKD) protocols are cryptographic techniques with security based only on the laws of quantum mechanics. Two prominent QKD schemes are the Bennett-Brassard 1984 and Bennett 1992 protocols that use four and two quantum states, respectively. In 2000, Phoenix et al. proposed a new family of three-state protocols that offers advantages over the previous schemes. Until now, an error rate threshold for security of the symmetric trine spherical code QKD protocol has been shown only for the trivial intercept-resend eavesdropping strategy. In this Letter, we prove the unconditional security of the trine spherical code QKD protocol, demonstrating its security up to a bit error rate of 9.81%. We also discuss how this proof applies to a version of the trine spherical code QKD protocol where the error rate is evaluated from the number of inconclusive events.     

单光子探测器性能对量子密钥分发系统的影响

根据量子密钥分发协议的原理和单光子探测器的工作模式系统分析了单光子探测器性能对量子密钥分发系统影响的物理模型,给出了单光子探测器暗计数和量子效率对系统筛选码率和量子误码率等指标产生影响的计算公式,并通过对各类量子密钥分发系统的比较,推导出了适用于一般量子密钥分发系统的普适结果。结果表明,在同等条件下采用较少的探测时间门可以提高量子密钥分发系统的性能。     

New estimates of single photon parameters for satellite-based QKD

A new decoy state method has been presented to tighten the lower bound of the key generation rate for BB84 using one decoy state and one signal state. It can give us different lower and upper bounds of the fraction of single-photon counts and single-photon QBER, respectively, for one decoy state protocol. We have also analyzed the feasibility of performing quantum key distribution (QKD), with different exiting protocols, in earth-satellite and intersatellite links. Our simulation shows the choice of intensity of signal state and the effect of choosing the number of decoy states on key generation rate. The final key rate over transmission distance has been simulated, which shows that security proofs give a zero key generation rate at long distances (larger than 16,000 km). It has been shown that the practical QKD can be established with low earth orbit and medium earth orbit satellites.     

单光子探测技术

近年来,以量子密钥分配为代表的各种量子信息技术应用获得了飞速发展,这些应用对单光子探测器的性能提出了非常苛刻的要求,以光电倍增管和雪崩光电二极管为代表的传统单光子探测器件已经无法满足需求。在此背景下,出现了以超导单光子探测器为代表的新型低温单光子探测器件,其性能比现有商用单光子探测器有了本质性的提升。本文综述了迄今为止各种类型的单光子探测器,并指出各自在量子信息技术应用中的优势和不足之处以及发展方向。     

Finite-key analysis of practical time-bin high-dimensional quantum key distribution with afterpulse effect

High-dimensional quantum resources provide the ability to encode several bits of information on a single photon, which can particularly increase the secret key rate rate of quantum key distribution (QKD) systems. Recently, a practical four-dimensional QKD scheme based on time-bin quantum photonic state, only with two single-photon avalanche detectors as measurement setup, has been proven to have a superior performance than the qubit-based one. In this paper, we extend the results to our proposed eight-dimensional scheme. Then, we consider two main practical factors to improve its secret key bound. Concretely, we take the afterpulse effect into account and apply a finite-key analysis with the intensity fluctuations. Our secret bounds give consideration to both the intensity fluctuations and the afterpulse effect for the high-dimensional QKD systems. Numerical simulations show the bound of eight-dimensional QKD scheme is more robust to the intensity fluctuations but more sensitive to the afterpulse effect than the four-dimensional one.     

Countermeasure against probabilistic blinding attack in practical quantum key distribution systems

In a practical quantum key distribution(QKD) system, imperfect equipment, especially the single-photon detector,can be eavesdropped on by a blinding attack. However, the original blinding attack may be discovered by directly detecting the current. In this paper, we propose a probabilistic blinding attack model, where Eve probabilistically applies a blinding attack without being caught by using only an existing intuitive countermeasure. More precisely, our countermeasure solves the problem of how to define the bound in the limitation of precision of current detection, and then we prove security of the practical system by considering the current parameter. Meanwhile, we discuss the bound of the quantum bit error rate(QBER) introduced by Eve, by which Eve can acquire information without the countermeasure.     

基于六光子量子避错码的量子密钥分发方案

量子信道中不可避免存在的噪声将扭曲被传输的信息,对通信造成危害。目前克服量子信道噪声的较好方案是量子避错码（QEAC）。将量子避错码思想用于量子密钥分发,能有效克服信道中的噪声,且无需复杂的系统。用六光子构造了量子避错码,提出了一种丛于六光子避错码的量子密钥分发（QDK）方案。以提高量子密钥分发的量子比特效率和安全性为前提,对六光子避错码的所有可能态进行组合,得到一种六光子避错码的最优组合方法,可将两比特信息编码在一个态中,根据测肇结果和分组信息进行解码,得到正确信息的平均概率为7／16。与最近的基于四光子避错码的克服量子信道噪声的量子密钥分发方案相比,该方案的量子比特效率提高了16．67％,密钥分发安全性足它的3．5倍。     

预报单光子源诱骗态量子密钥产生率及数值计算

独立推导预报单光子源诱骗态量子密钥分发的密钥产生率计算公式,讨论密钥产生率和发送端探测效率的关系;进行弱相干光和预报单光子源诱骗态量子密钥分发的最优强度估计和密钥产生率数值计算.结果表明,预报单光子源诱骗态量子密钥分发的密钥产生率随着发送端探测效率的增加而增加,其安全通信距离与完美单光子源的通信距离一致;诱骗态量子密钥分发可提高安全通信距离和密钥产生率;预报单光子源由于减少了暗计数的影响,进一步提高了安全通信距离.     

781 Mbit/s photon-counting optical communications using a superconducting nanowire detector

We demonstrate 1550 nm photon-counting optical communications with a NbN-nanowire superconducting single-photon detector. Source data are encoded with a rate-1/2 forward-error correcting code and transmitted by use of 32-ary pulse-position modulation at 5 and 10 GHz slot rates. Error-free performance is obtained with -0.5 detected photon per source bit at a source data rate of 781 Mbits/s. To the best of our knowledge, this is the highest reported data rate for a photon-counting receiver.     

Measurement-device-independent quantum key distribution

How to remove detector side channel attacks has been a notoriously hard problem in quantum cryptography. Here, we propose a simple solution to this problem--measurement-device-independent quantum key distribution (QKD). It not only removes all detector side channels, but also doubles the secure distance with conventional lasers. Our proposal can be implemented with standard optical components with low detection efficiency and highly lossy channels. In contrast to the previous solution of full device independent QKD, the realization of our idea does not require detectors of near unity detection efficiency in combination with a qubit amplifier (based on teleportation) or a quantum nondemolition measurement of the number of photons in a pulse. Furthermore, its key generation rate is many orders of magnitude higher than that based on full device independent QKD. The results show that long-distance quantum cryptography over say 200 km will remain secure even with seriously flawed detectors.     

Performance of a quantum key distribution protocol with dual-rail displaced photon states

We propose a scheme for a quantum key distribution (QKD) protocol with dual-rail displaced photon states. Displaced single-photon states with different amplitudes carry bit values of code that may be extracted, while coherent states carry nothing and only provide an inconclusive outcome. A real resource of single photons is used, involving imperfections associated with experimental technique that result in a photon state with an admixture of the vacuum state. The protocol is robust against the loss of a single photon and the inefficiency of the detectors. Pulses with large amplitudes, unlike the conventional QKD relying on faint laser pulses, are used that may approximate it to standard telecommunication and may show resistance to eaves-dropping even in settings with high attenuation. Information leakage to the eavesdropper is determined from comparison of the output distributions of the outcomes with ideal ones that are defined by two additional parameters accessible to only those send the pulses. Robustness to some possible eavesdropping attacks is shown.