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Estimating the link budget of satellite-based Quantum Key Distribution (QKD) for uplink transmission through the atmosphere 估算通过大气层进行上行链路传输的卫星量子密钥分发(QKD)的链路预算
IF 5.8 2区 物理与天体物理 Q1 OPTICS Pub Date : 2024-10-15 DOI: 10.1140/epjqt/s40507-024-00279-1
Satya Ranjan Behera, Urbasi Sinha

Satellite-based quantum communications including quantum key distribution (QKD) represent one of the most promising approaches toward global-scale quantum communications. To determine the viability of transmitting quantum signals through the atmosphere, it is essential to conduct atmospheric simulations for both uplink and downlink quantum communications. In the case of the uplink scenario, the initial phase of the beam’s propagation involves interaction with the atmosphere, making simulation particularly critical. To analyze the atmosphere over the Indian subcontinent, we begin by validating our approach by utilizing atmospheric data obtained from the experiments carried out in the Canary Islands within the framework of Quantum Communication (QC). We also verify our simulation methodology by reproducing simulation outcomes from diverse Canadian locations, taking into account both uplink and downlink scenarios in Low Earth Orbit (LEO). In this manuscript, we explore the practicality of utilizing three different ground station locations in India for uplink-based QC, while also considering beacon signals for both uplink and downlink scenarios. The atmospheric conditions of various geographical regions in India are simulated, and a dedicated link budget analysis is performed for each location, specifically focusing on three renowned observatories: IAO Hanle, Aries Nainital, and Mount Abu. The analysis involves computing the overall losses of the signal and beacon beams. The findings indicate that the IAO Hanle site is a more suitable choice for uplink-based QC when compared to the other two sites.

包括量子密钥分发(QKD)在内的卫星量子通信是实现全球规模量子通信的最有前途的方法之一。为了确定通过大气层传输量子信号的可行性,必须对上行和下行量子通信进行大气模拟。在上行链路情况下,光束传播的初始阶段涉及与大气层的相互作用,因此模拟尤为重要。为了分析印度次大陆上空的大气层,我们首先利用在量子通信(QC)框架内于加那利群岛进行的实验所获得的大气层数据来验证我们的方法。我们还通过重现加拿大不同地点的模拟结果来验证我们的模拟方法,同时考虑到低地球轨道(LEO)的上行和下行情况。在本手稿中,我们探讨了利用印度三个不同地面站位置进行基于上行链路的质量控制的实用性,同时还考虑了上行链路和下行链路场景中的信标信号。我们模拟了印度不同地理区域的大气条件,并对每个地点进行了专门的链路预算分析,特别侧重于三个著名的观测站:IAO Hanle、Aries Nainital 和 Mount Abu。分析包括计算信号和信标波束的总体损耗。分析结果表明,与其他两个观测站相比,IAO Hanle 观测站更适合用于基于上行链路的质量控制。
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引用次数: 0
Reflection and transmission amplitudes in a digital quantum simulation 数字量子模拟中的反射和透射振幅
IF 5.8 2区 物理与天体物理 Q1 OPTICS Pub Date : 2024-10-09 DOI: 10.1140/epjqt/s40507-024-00277-3
Giuseppe Mussardo, Andrea Stampiggi, Andrea Trombettoni

In this paper we show how to measure in the setting of digital quantum simulations the reflection and transmission amplitudes of the one-dimensional scattering of a particle with a short-ranged potential. The main feature of the protocol is the coupling between the particle and an ancillary spin-1/2 degree of freedom. This allows us to reconstruct tomographically the scattering amplitudes, which are in general complex numbers, from the readout of one qubit. Applications of our results are discussed.

在本文中,我们展示了如何在数字量子模拟环境中测量粒子与短程势能的一维散射的反射和透射振幅。该方案的主要特点是粒子与辅助自旋-1/2 自由度之间的耦合。这使得我们能够从一个量子位的读出中,以断层扫描的方式重建散射振幅(一般来说是复数)。我们还讨论了结果的应用。
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引用次数: 0
Keep it secret, keep it safe: teaching quantum key distribution in high school 保密、安全:高中量子密钥分配教学
IF 5.8 2区 物理与天体物理 Q1 OPTICS Pub Date : 2024-10-03 DOI: 10.1140/epjqt/s40507-024-00276-4
Efraim Yehuda Weissman, Avraham Merzel, Nadav Katz, Igal Galili

Quantum Key Distribution (QKD) is a cryptography protocol based on the fundamental principles of quantum physics (QP). Teaching this subject does not require extensive knowledge beyond these principles, making it suitable for inclusion in high school (HS) curricula. Despite its relevance, teaching QKD in HS is yet understudied. In this study, we collected responses from 12th-grade students from various schools that adopted and applied the Discipline-Culture vision of the physics curriculum. We assessed their understanding through conceptual and quantitative problems and examined their attitudes regarding the motivation to study this subject. We analyzed the responses using content analysis, identifying the challenges and affordances of teaching QKD. The challenges faced by students have been categorized into three themes: difficulties with QP, difficulties with the QKD protocol, and difficulties with the mathematics involved in this context. Despite these challenges, we found that teaching QKD reinforces students’ conceptual understanding of QP concepts and problem-solving skills. This work enhances educators’ ability to address the challenges of teaching QP and suggests that teaching QKD in HS strengthens students’ motivation to study QP.

量子密钥分发(QKD)是一种基于量子物理学(QP)基本原理的加密协议。教授这门课程不需要这些原理以外的广泛知识,因此适合纳入高中(HS)课程。尽管 QKD 与高中教学息息相关,但对它的研究仍然不足。在本研究中,我们收集了来自不同学校的 12 年级学生的回答,这些学校都采用并应用了物理课程的学科-文化视角。我们通过概念性问题和定量问题评估了他们的理解能力,并考察了他们对学习本学科动机的态度。我们使用内容分析法对学生的回答进行了分析,确定了教学 QKD 所面临的挑战和优势。学生们所面临的挑战被归纳为三个主题:学习 QP 的困难、学习 QKD 协议的困难以及学习其中所涉及的数学的困难。尽管存在这些困难,但我们发现,QKD 教学加强了学生对 QP 概念的理解和解决问题的技能。这项研究提高了教育工作者应对素质拓展教学挑战的能力,并表明在高中进行素质拓展教学可增强学生学习素质拓展的动力。
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引用次数: 0
Multi-party quantum key distribution protocol in quantum network 量子网络中的多方量子密钥分发协议
IF 5.8 2区 物理与天体物理 Q1 OPTICS Pub Date : 2024-09-27 DOI: 10.1140/epjqt/s40507-024-00275-5
Chia-Wei Tsai, Chun-Hsiang Wang

This study proposes a measurement property of graph states and applies it to design a mediated multiparty quantum key distribution (M-MQKD) protocol for a repeater-based quantum network in a restricted quantum environment. The protocol enables remote classical users, who cannot directly transmit qubits, to securely distribute a secret key with the assistance of potentially dishonest quantum repeaters. Classical users only require two quantum capabilities, while quantum repeaters handle entanglement transmission through single-photon measurements. The one-way transmission approach eliminates the need for additional defenses against quantum Trojan horse attacks, reducing maintenance costs compared to round-trip or circular transmission methods. As a result, the M-MQKD protocol is lightweight and easy to implement. The study also evaluates the security of the protocol and demonstrates its practicality through quantum network simulations.

本研究提出了图状态的测量属性,并将其应用于在受限量子环境中为基于中继器的量子网络设计一个中介多方量子密钥分发(M-MQKD)协议。该协议使无法直接传输量子比特的远程经典用户能够在可能不诚实的量子中继器的协助下安全地分发密钥。经典用户只需要两种量子能力,而量子中继器则通过单光子测量来处理纠缠传输。与往返或循环传输方式相比,单向传输方式无需额外防御量子木马攻击,从而降低了维护成本。因此,M-MQKD 协议既轻便又易于实现。该研究还评估了该协议的安全性,并通过量子网络模拟证明了其实用性。
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引用次数: 0
Mathematical sense making of quantum phenomena using Dirac notation: its effect on secondary school students’ functional thinking about photons 使用狄拉克符号对量子现象进行数学感知:对中学生光子功能思维的影响
IF 5.8 2区 物理与天体物理 Q1 OPTICS Pub Date : 2024-09-27 DOI: 10.1140/epjqt/s40507-024-00274-6
Fabian Hennig, Kristóf Tóth, Joaquin Veith, Philipp Bitzenbauer

Previous research has consistently demonstrated that students often possess an inadequate understanding of fundamental quantum optics concepts, even after formal instruction. Findings from physics education research suggest that introducing a mathematical formalism to describe quantum optical phenomena may enhance students’ conceptual understanding of quantum optics. This paper investigates whether using formal descriptions of quantum optics phenomena – such as photon anticorrelation at a beamsplitter or single-photon interference in a Michelson interferometer – expressed in Dirac notation, can support secondary school students in developing functional thinking about photons. To investigate this, we conducted a clusterrandomized field study, comparing the improvement in functional thinking between 67 students in the intervention group, who were taught using both qualitative and quantitative reasoning, and 66 students in the control group, who were taught using only qualitative reasoning. The results indicate that mathematical formalism can indeed promote functional thinking about photons. However, the comparison between the intervention and control groups revealed that the control group exhibited a greater increase in functional thinking than the intervention group. In response to these findings, we conducted a follow-up study aimed at gaining a deeper understanding of the cognitive load associated with both approaches. Specifically, we compared the intrinsic and extraneous cognitive load of 71 students in the intervention group with those of 65 students in the control group. The data analysis revealed that the two groups had statistically significant differences in intrinsic cognitive load while the extraneous cognitive load did not difer statistically significant, indicating a higher mental effort associated to the quantitative reasoning.

以往的研究一直表明,即使经过正规的教学,学生对量子光学基本概念的理解也往往不够。物理教育研究结果表明,引入数学形式主义来描述量子光学现象可能会增强学生对量子光学概念的理解。本文研究了用狄拉克符号表示的量子光学现象的形式化描述--如分光镜中的光子反相关或迈克尔逊干涉仪中的单光子干涉--能否帮助中学生发展有关光子的功能性思维。为了研究这一点,我们进行了一项分组随机实地研究,比较了同时使用定性和定量推理教学的干预组 67 名学生和仅使用定性推理教学的对照组 66 名学生在功能思维方面的进步。结果表明,数学形式主义确实可以促进有关光子的功能性思维。然而,通过对干预组和对照组的比较发现,对照组的功能性思维比干预组有更大的提高。针对这些发现,我们进行了一项后续研究,旨在更深入地了解这两种方法的认知负荷。具体来说,我们比较了干预组 71 名学生和对照组 65 名学生的内在和外在认知负荷。数据分析显示,两组学生的内在认知负荷在统计学上有显著差异,而外在认知负荷在统计学上没有显著差异,这表明与定量推理相关的脑力劳动更高。
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引用次数: 0
Quantum null-hypothesis device-independent Schmidt number witness 与设备无关的量子空假说施密特数见证
IF 5.8 2区 物理与天体物理 Q1 OPTICS Pub Date : 2024-09-27 DOI: 10.1140/epjqt/s40507-024-00273-7
Josep Batle, Tomasz Białecki, Tomasz Rybotycki, Jakub Tworzydło, Adam Bednorz

We investigate the dimensionality of bipartite quantum systems by construction of a device-independent null witness test. This test assesses whether a given bipartite state conforms with the expected quantum dimension, Schmidt number, and distinguishes between real and complex spaces. By employing local measurements on each party, the proposed method aims to determine the minimal rank. By performing an experimental demonstration on IBM Quantum devices, we prove the exceptional accuracy of the test and its usefulness in diagnostics beyond routine calibrations. One of the tests shows agreement with theoretical expectations within statistical errors. However, the second test failed by more than 6 standard deviations, indicating unspecified parasitic entanglements, with no known simple origin.

我们通过构建一个独立于设备的空见证检验来研究二元量子系统的维度。该测试评估给定的二元状态是否符合预期的量子维度--施密特数,并区分实空间和复空间。通过对每一方进行局部测量,所提出的方法旨在确定最小秩。通过在 IBM 量子设备上进行实验演示,我们证明了该测试的卓越准确性及其在常规校准之外的诊断中的实用性。其中一项测试表明,在统计误差范围内与理论预期一致。然而,第二个测试的失败率超过了 6 个标准差,表明存在不明寄生纠缠,且没有已知的简单起源。
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引用次数: 0
Correlation avoidance in single-photon detecting quantum random number generators by dead time overestimation 通过死区时间高估避免单光子探测量子随机数发生器中的相关性
IF 5.8 2区 物理与天体物理 Q1 OPTICS Pub Date : 2024-09-19 DOI: 10.1140/epjqt/s40507-024-00272-8
Balázs Solymos, Ágoston Schranz, Miklós Telek

In the case of quantum random number generators based on single-photon arrivals, the physical properties of single-photon detectors, such as time-tagger clocks and dead time, influence the stochastic properties of the generated random numbers. This can lead to unwanted correlations among consecutive samples.

We present a method based on extending the insensitive periods after photon detections. This method eliminates the unwanted stochastic effects at the cost of reduced generation speed. We calculate performance measures for our presented method and verify its correctness with computer simulations and measurements conducted on an experimental setup. Our algorithm has low complexity, making it convenient to implement in QRNG schemes, where the benefits of having uncorrelated output intervals exceed the disadvantages of the decreased rate.

在基于单光子到达的量子随机数生成器中,单光子探测器的物理特性,如时间滞后时钟和死区时间,会影响生成随机数的随机特性。我们提出了一种基于延长光子检测后不敏感期的方法。这种方法以降低生成速度为代价,消除了不必要的随机效应。我们计算了所提出方法的性能指标,并通过计算机模拟和在实验装置上进行的测量验证了其正确性。我们的算法复杂度低,便于在 QRNG 方案中实施,在这种方案中,不相关输出区间的好处超过了速率降低的坏处。
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引用次数: 0
Introducing quantum information and computation to a broader audience with MOOCs at OpenHPI 通过 OpenHPI 的 MOOC 向更广泛的受众介绍量子信息和计算
IF 5.8 2区 物理与天体物理 Q1 OPTICS Pub Date : 2024-09-13 DOI: 10.1140/epjqt/s40507-024-00270-w
Gerhard Hellstern, Jörg Hettel, Bettina Just

Quantum computing is an exciting field with high disruptive potential, but very difficult to access. For this reason, many approaches to teaching quantum computing are being developed worldwide. This always raises questions about the didactic concept, the content actually taught, and how to measure the success of the teaching concept. In 2022 and 2023, the authors taught a total of nine two-week MOOCs (massive open online courses) with different possible learning paths on the Hasso Plattner Institute’s OpenHPI platform. The purpose of the platform is to make computer science education available to everyone free of charge. The nine quantum courses form a self-contained curriculum. A total of more than 17,000 course attendances have been taken by about 7400 natural persons, and the number is still rising. This paper presents the course concept and evaluates the anonymized data on the background of the participants, their behaviour in the courses, and their learning success. This paper is the first to analyze such a large dataset of MOOC-based quantum computing education. The summarized results are a heterogeneous personal background of the participants biased towards IT professionals, a majority following the didactic recommendations, and a high success rate, which is strongly correlatated with following the didactic recommendations. The amount of data from such a large group of quantum computing learners provides many avenues for further research in the field of quantum computing education. The analyses show that the MOOCs are a low-threshold concept for getting into quantum computing. It was very well received by the participants. The concept can serve as an entry point and guide for the design of quantum computing courses.

量子计算是一个令人兴奋的领域,具有巨大的颠覆潜力,但却很难进入。因此,全世界正在开发许多量子计算教学方法。这总是会引发关于教学理念、实际教授内容以及如何衡量教学理念成功与否的问题。在2022年和2023年,作者在哈索-普拉特纳研究所的OpenHPI平台上总共讲授了9门为期两周的MOOC(大规模开放在线课程),并提供了不同的学习路径。该平台的目的是向所有人免费提供计算机科学教育。九门量子课程构成了一个独立的课程体系。目前已有约 7400 名自然人参加了 17000 多门课程的学习,这一数字还在不断上升。本文介绍了该课程的概念,并对有关学员背景、在课程中的表现以及学习成功率的匿名数据进行了评估。本文首次分析了如此庞大的基于 MOOC 的量子计算教育数据集。总结的结果是,学员的个人背景各不相同,偏向于 IT 专业人士,大多数人遵循教学建议,而且成功率很高,这与遵循教学建议密切相关。来自如此庞大的量子计算学习者群体的大量数据为量子计算教育领域的进一步研究提供了许多途径。分析表明,MOOC 是进入量子计算领域的低门槛概念。它深受参与者的欢迎。这一概念可以作为量子计算课程设计的切入点和指南。
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引用次数: 0
From computing to quantum mechanics: accessible and hands-on quantum computing education for high school students 从计算到量子力学:面向高中生的无障碍量子计算实践教育
IF 5.8 2区 物理与天体物理 Q1 OPTICS Pub Date : 2024-09-11 DOI: 10.1140/epjqt/s40507-024-00271-9
Qihong Sun, Shuangxiang Zhou, Ronghang Chen, Guanru Feng, King Tai Cheung, Jensen Li, Shi-Yao Hou, Bei Zeng

This paper outlines an alternative approach to teaching quantum computing at the high school level, tailored for students with limited prior knowledge in advanced mathematics and physics. This approach diverges from traditional methods by building upon foundational concepts in classical computing before gradually introducing quantum mechanics, thereby simplifying the entry into this complex field. The course was initially implemented in a program for gifted high school students under the Hong Kong Education Bureau and received encouraging feedback, indicating its potential effectiveness for a broader student audience. A key element of this approach is the practical application through portable NMR quantum computers, which provides students with hands-on experience. The paper describes the structure of the course, including the organization of the lectures, the integration of the hardware of the portable nuclear magnetic resonance (NMR) quantum computers, the Gemini/Triangulum series, and detailed lecture notes in Additional file 1. The initial success in the specialized program and ongoing discussions to expand the course to regular high schools in Hong Kong and Shenzhen suggest the viability of this approach for wider educational application. By focusing on accessibility and student engagement, this approach presents a valuable perspective on introducing quantum computing concepts at the high school level, aiming to enhance student understanding and interest in the field.

本文概述了在高中阶段教授量子计算的另一种方法,这种方法专为高等数学和物理学知识有限的学生量身定制。这种方法有别于传统方法,在逐步引入量子力学之前,先建立经典计算的基础概念,从而简化了进入这一复杂领域的过程。该课程最初是在香港教育局为资优高中生开设的课程中实施的,收到了令人鼓舞的反馈,这表明它可能对更广泛的学生受众有效。这种方法的一个关键要素是通过便携式核磁共振量子计算机进行实际应用,为学生提供实践经验。本文介绍了该课程的结构,包括讲座的组织、便携式核磁共振量子计算机硬件的整合、Gemini/Triangulum 系列以及附加文件 1 中的详细讲义。专业课程的初步成功,以及将课程推广到香港和深圳普通高中的持续讨论,都表明这种方法在更广泛的教育应用中是可行的。通过关注可及性和学生参与度,这种方法为在高中阶段介绍量子计算概念提供了一个有价值的视角,旨在增强学生对该领域的理解和兴趣。
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引用次数: 0
Efficient quantum secure multi-party greatest common divisor protocol and its applications in private set operations 高效量子安全多方最大公约数协议及其在私有集合运算中的应用
IF 5.8 2区 物理与天体物理 Q1 OPTICS Pub Date : 2024-09-09 DOI: 10.1140/epjqt/s40507-024-00268-4
Zi-Xian Li, Wen-Jie Liu, Bing-Mei Su

Private set intersection (PSI) has important application value, however, current quantum PSI protocols are either unsuitable for multi-party scenarios or inefficient. Recently, Imran (arXiv:2303.17196v3, 2023) proposed two quantum secure multi-party greatest common divisor (GCD) protocols that can be used for PSI, but with the downside of information leakage and resource consumption. In this paper, we propose a novel quantum secure multi-party GCD protocol that has higher security and lower complexity. To hide privacy, each party randomly selects a coefficient within a range determined by his input integer, and with the assistance of a semi-honest third party TP, all parties secretly calculate the linear combination of their inputs under these coefficients. Once enough linear combinations are collected, TP calculates the GCD of these combinations, which is equal to the GCD of all input integers. To verify the honesty of participants, a quantum zero-knowledge proof sub-protocol is designed. Analysis shows that our GCD protocol is correct and has security against malicious attacks. Moreover, its complexity is polynomial level and lower than Imran’s. Furthermore, we demonstrate the scalability of our GCD protocol in private set operations, such as private set intersection, private set intersection cardinality, private multi-set intersection, etc.

私集相交(PSI)具有重要的应用价值,然而,目前的量子 PSI 协议要么不适合多方场景,要么效率低下。最近,Imran(arXiv:2303.17196v3, 2023)提出了两个量子安全多方最大公约数(GCD)协议,可用于 PSI,但存在信息泄露和资源消耗的缺点。在本文中,我们提出了一种新型量子安全多方最大公约数(GCD)协议,它具有更高的安全性和更低的复杂度。为了隐藏隐私,每一方在由其输入整数决定的范围内随机选择一个系数,在半诚信第三方 TP 的协助下,各方秘密计算其输入在这些系数下的线性组合。一旦收集到足够多的线性组合,TP 就会计算出这些组合的 GCD,它等于所有输入整数的 GCD。为了验证参与者的诚实性,我们设计了一个量子零知识证明子协议。分析表明,我们的 GCD 协议是正确的,并且具有抵御恶意攻击的安全性。而且,它的复杂度是多项式级的,低于伊姆兰协议。此外,我们还证明了我们的 GCD 协议在私有集操作中的可扩展性,如私有集相交、私有集相交卡明度、私有多集相交等。
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引用次数: 0
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EPJ Quantum Technology
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