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Mapping the quantum computing landscape: growth, collaboration, and thematic convergence 绘制量子计算图景:增长、协作和主题融合
IF 5.6 2区 物理与天体物理 Q1 OPTICS Pub Date : 2026-01-15 DOI: 10.1140/epjqt/s40507-026-00464-4
Daniel Conde-Torres, Alejandro Seco-González, Ángel Piñeiro, Rebeca Garcia-Fandiño

Quantum computing has rapidly emerged as one of the fastest-growing research domains, driven by both technological breakthroughs and the promise of computational advantages over classical systems. This study presents a comprehensive bibliometric analysis of the global quantum computing literature from 1980 to 2025, comprising 31,662 publications indexed in Scopus and accumulating over 800,000 citations. Using advanced bibliometric techniques—including co-authorship mapping, keyword co-occurrence networks, co-citation analysis, and centrality measures—we characterize publication trends, institutional contributions, collaborative structures, and thematic evolution across the field. The results reveal exponential growth in output since 2015, led primarily by the United States, China, and Europe, with key institutions such as MIT, the Chinese Academy of Sciences, CNRS, and the University of Waterloo at the forefront. The intellectual structure exhibits a dual-core configuration, with foundational algorithmic work (e.g. Shor, Grover, Nielsen & Chuang) tightly connected to emerging NISQ-era applications such as quantum machine learning, cryptography, and hybrid algorithms. Keyword analysis reveals the progressive expansion from core quantum algorithms toward increasingly diverse applied domains in healthcare, finance, chemistry, energy, and climate modeling. Public funding bodies (e.g. NSFC, NSF, European Commission, DOE, DoD, MoST) and private-sector investment from major technology firms are jointly driving this translational acceleration. Together, these findings provide an integrated quantitative map of the field’s evolution, offering valuable insight for future scientific policy, international collaboration, and strategic funding initiatives.

在技术突破和对经典系统计算优势的承诺的推动下,量子计算已迅速成为增长最快的研究领域之一。本研究对1980年至2025年全球量子计算文献进行了全面的文献计量分析,其中包括在Scopus中索引的31,662篇出版物,累计引用超过80万次。利用先进的文献计量技术——包括合著者映射、关键词共现网络、共被引分析和中心性测量——我们描述了整个领域的出版趋势、机构贡献、合作结构和主题演变。结果显示,自2015年以来,产出呈指数级增长,主要由美国、中国和欧洲领导,其中麻省理工学院、中国科学院、法国国家科学研究中心和滑铁卢大学等关键机构走在前列。智能结构呈现双核配置,基础算法工作(如Shor, Grover, Nielsen & Chuang)与新兴的nisq时代应用(如量子机器学习,密码学和混合算法)紧密相连。关键词分析揭示了量子算法从核心向医疗保健、金融、化学、能源和气候建模等日益多样化的应用领域的逐步扩展。公共资助机构(如NSFC、NSF、欧盟委员会、DOE、DoD、MoST)和来自主要技术公司的私营部门投资共同推动了这一转化的加速。总之,这些发现提供了该领域演变的综合定量地图,为未来的科学政策、国际合作和战略资助计划提供了有价值的见解。
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引用次数: 0
Testing time order and Leggett-Garg inequalities with noninvasive measurements on public quantum computers 在公共量子计算机上用非侵入性测量测试时间顺序和Leggett-Garg不等式
IF 5.6 2区 物理与天体物理 Q1 OPTICS Pub Date : 2026-01-05 DOI: 10.1140/epjqt/s40507-025-00457-9
Tomasz Rybotycki, Tomasz Białecki, Josep Batle, Bartłomiej Zglinicki, Adam Szereszewski, Wolfgang Belzig, Adam Bednorz

We demonstrate the first violation of the Leggett-Garg inequality and time-order noninvariance on public quantum computers using genuine noninvasive measurements. By gathering sufficiently large statistics, we have been able to violate Leggett-Garg inequality and time-order invariance. The detailed analysis of the data on 10 qubit sets from 5 devices available on IBM Quantum and one on IonQ reveals violations beyond 5 standard deviations in almost all cases. We implemented our protocols using fractional gates, newly available on the IBM Heron devices, allowing us to benchmark them in application to weak measurements. The noninvasiveness is supported by a qualitative and quantitative agreement with the model of weak disturbance. Moreover, our data expose statistically significant deviations from theoretical predictions that exceed declared device error rates, establishing weak measurement protocols as a sensitive benchmark for quantum hardware. These advances transform public quantum computers into practical testbeds for probing foundational questions of realism and temporal order with unprecedented accessibility and precision.

我们在公共量子计算机上使用真正的非侵入性测量证明了莱格特-加格不等式和时序不变性的第一次违反。通过收集足够大的统计量,我们已经能够违反Leggett-Garg不等式和时序不变性。对IBM Quantum上的5个设备和IonQ上的一个设备的10个量子位集的数据进行了详细分析,发现几乎所有情况下的违规行为都超过了5个标准差。我们使用分数门来实现我们的协议,分数门最近在IBM Heron设备上可用,允许我们在应用程序中对它们进行弱测量的基准测试。在定性和定量上与弱扰动模型一致,证明了该模型的非侵入性。此外,我们的数据揭示了统计上与理论预测的显著偏差,超出了宣布的设备错误率,建立了弱测量协议作为量子硬件的敏感基准。这些进步将公共量子计算机转变为实用的测试平台,以前所未有的可及性和精度探索现实主义和时间秩序的基本问题。
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引用次数: 0
An analysis of demonstration materials in quantum physics education 量子物理教学中演示材料的分析
IF 5.6 2区 物理与天体物理 Q1 OPTICS Pub Date : 2026-01-05 DOI: 10.1140/epjqt/s40507-025-00460-0
Bart Folkers, Carolien Castenmiller, Alexander Brinkman, Kirsten Stadermann

The development and study of demonstration materials (DM) in quantum physics (QP) education has gained increasing attention in research, leading to a diverse range of approaches. In this scoping review, we examine 302 scientific publications on DM for QP education, categorising them by DM type and QP topics. We analyse the progression of research output from 2000 to 2023, highlighting different strategies in digital and haptic DM, as well as pedagogical considerations and gaps. We also performed an evaluation of the research field, assessing educational goals and challenges, methodological approaches, implementation strategies, and the reported effectiveness of DM.

Our analysis reveals a growing, yet uneven, distribution of DM across QP topics, an increased emphasis on quantum technology applications, and varying quality in studies on learning outcomes. While some DM are well established, others remain underexplored, particularly: DM that connect QP topics to a wide range of real world contexts, integrating multiple DM types and representations, and adapting materials for different audiences. We conclude by highlighting the critical need for “educational readiness” of DM. To advance QP education, future research must therefore focus on the effective integration of DM into practice, supported by comprehensive reporting on design principles, functionality, and implementation.

量子物理(QP)教育中演示材料(DM)的开发和研究越来越受到研究人员的关注,导致了各种各样的方法。在这篇范围综述中,我们研究了302篇关于QP教育中DM的科学出版物,并根据DM类型和QP主题对它们进行了分类。我们分析了2000年至2023年研究成果的进展,强调了数字和触觉DM的不同策略,以及教学考虑和差距。我们还对研究领域进行了评估,评估了教育目标和挑战、方法方法、实施策略以及DM的报告有效性。我们的分析显示,DM在QP主题中的分布越来越多,但不均衡,对量子技术应用的重视程度越来越高,学习成果研究的质量参差不齐。虽然一些DM已经建立,但其他DM仍未得到充分开发,特别是:将QP主题与广泛的现实世界背景联系起来的DM,整合多种DM类型和表示,并根据不同的受众调整材料。最后,我们强调了DM的“教育准备”的关键需求。因此,为了推进QP教育,未来的研究必须关注DM与实践的有效整合,并辅以对设计原则、功能和实施的全面报告。
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引用次数: 0
Error correction for distributed quantum computing 分布式量子计算的纠错
IF 5.6 2区 物理与天体物理 Q1 OPTICS Pub Date : 2025-12-22 DOI: 10.1140/epjqt/s40507-025-00455-x
Daowen Qiu, Ligang Xiao, Le Luo, Paulo Mateus

In distributed quantum computing, the final solution of a problem is usually achieved by catenating these partial solutions resulted from different computing nodes, but intolerable errors likely yield in this catenation process. In this paper, we propose a universal error correction scheme to reduce errors and obtain effective solutions. Then, we apply this error correction scheme to designing a distributed phase estimation algorithm that presents a basic tool for studying distributed Shor’s algorithm and distributed discrete logarithm algorithm as well as other distributed quantum algorithms. Our method may provide a universal strategy of error correction for a kind of distributed quantum computing.

在分布式量子计算中,一个问题的最终解通常是通过将这些由不同计算节点产生的部分解串在一起来实现的,但是在这个串接过程中可能会产生不可容忍的错误。本文提出了一种通用的纠错方案,以减少误差并得到有效的解决方案。然后,我们将该纠错方案应用于分布式相位估计算法的设计,为研究分布式Shor算法和分布式离散对数算法以及其他分布式量子算法提供了基础工具。我们的方法可能为一种分布式量子计算提供一种通用的纠错策略。
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引用次数: 0
Quantum technologies and geopolitics: comparing parliamentary rhetoric 量子技术和地缘政治:比较议会言论
IF 5.6 2区 物理与天体物理 Q1 OPTICS Pub Date : 2025-12-19 DOI: 10.1140/epjqt/s40507-025-00456-w
Viktor Suter, Gina Pöhlmann, Charles Ma, Miriam Meckel

Quantum technologies are rapidly emerging as a strategic priority for global political powers. Yet little is known about how policymakers across countries perceive the security implications of quantum technologies, even though such perceptions shape policy priorities and public understanding of technological threats. Drawing on securitization theory, we analyze parliamentary speeches from 2010 to 2024 across Australia, the United Kingdom, the United States, the European Union, and Singapore. Using computational social science tools, including a novel method based on large language models to quantify security emphasis, we report on three principal findings. First, attention and security framing vary markedly across legislatures, with the United States showing the highest intensity, the United Kingdom a moderate pattern, and Australia comparatively muted security rhetoric despite frequent discussion. Second, security emphasis rises over time in every parliament studied. Third, highly securitized debates cluster around the topics of transitions to quantum-secure communication infrastructures, great-power competition and alliances (including AUKUS), and the regulation of cross-border capital, knowledge, and technology flows. The study contributes cross-national, longitudinal evidence on how quantum technologies are politicized.

量子技术正迅速成为全球政治大国的战略重点。然而,人们对各国政策制定者如何看待量子技术的安全影响知之甚少,尽管这种看法影响了政策重点和公众对技术威胁的理解。利用证券化理论,我们分析了2010年至2024年澳大利亚、英国、美国、欧盟和新加坡的议会演讲。使用计算社会科学工具,包括一种基于大型语言模型的新方法来量化安全重点,我们报告了三个主要发现。首先,各立法机构的关注和安全框架差异明显,美国表现出最高的强度,英国表现出适度的模式,澳大利亚尽管频繁讨论,但安全言论相对较弱。其次,在每一个被研究的议会中,安全的重要性随着时间的推移而上升。第三,高度证券化的辩论围绕着向量子安全通信基础设施过渡、大国竞争和联盟(包括AUKUS)以及跨境资本、知识和技术流动的监管等主题。这项研究为量子技术如何被政治化提供了跨国的纵向证据。
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引用次数: 0
Warm start of variational quantum algorithms for quadratic unconstrained binary optimization problems 二次型无约束二元优化问题变分量子算法的热启动
IF 5.6 2区 物理与天体物理 Q1 OPTICS Pub Date : 2025-12-12 DOI: 10.1140/epjqt/s40507-025-00452-0
Yahui Chai, Karl Jansen, Stefan Kühn, Tim Schwägerl, Tobias Stollenwerk

Variational Quantum Eigensolver (VQE) is widely used in near-term hardware. However, their performances remain limited by the poor trainability and are dependent on random parameter initialization. In this work, we propose a warm start method inspired by imaginary time evolution, allowing for determining initial parameters that prioritize lower energy states in a resource-efficient way. Using classical simulations, we demonstrate that this warm start method significantly improves the success rate and reduces the number of iterations required for the convergence of VQE. The numerical results also indicate that the warm start approach effectively mitigates statistical errors arising from a finite number of measurements, and to a certain extent alleviates the effect of barren plateaus.

变分量子特征求解器(VQE)在近期硬件中得到了广泛的应用。然而,它们的性能仍然受到可训练性差和依赖于随机参数初始化的限制。在这项工作中,我们提出了一种受虚时间进化启发的热启动方法,允许以资源高效的方式确定优先考虑低能量状态的初始参数。通过经典仿真,我们证明了这种热启动方法显著提高了VQE的收敛成功率,减少了收敛所需的迭代次数。数值结果还表明,热启动方法有效地缓解了有限次测量产生的统计误差,并在一定程度上缓解了高原荒芜的影响。
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引用次数: 0
Building bridges in quantum information science education: expert insights to guide framework development for interdisciplinary teaching and evolution of common language 构建量子信息科学教育的桥梁:专家见解指导跨学科教学框架的发展和共同语言的演变
IF 5.6 2区 物理与天体物理 Q1 OPTICS Pub Date : 2025-12-11 DOI: 10.1140/epjqt/s40507-025-00454-y
Liam Doyle, Fargol Seifollahi, Chandralekha Singh

The rapid growth of quantum information science and technology (QIST) presents unique educational challenges as it brings together students and researchers from many disciplines. This work presents findings from in-depth interviews with leading quantum researchers who are also educators, whose perspectives provide guidance for developing a framework for interdisciplinary QIST teaching and builds on our earlier paper that focused on QIST courses and curricula. We discuss quantum educators’ reflections on three critical aspects of QIST education: (1) the development of a common interdisciplinary language, (2) determining appropriate levels of abstraction and physical detail for diverse student populations from various disciplines, and (3) why students should pursue courses, degrees, and careers in this rapidly evolving field. Our analysis reveals that the emergence of linguistic evolutions such as “qubits” and “measurement bases”, rather than a focus on measurement of physical observables and their corresponding Hermitian operators, has begun to create a unifying framework that transcends disciplinary boundaries. Nevertheless, educators face ongoing challenges in balancing the level of abstractness with physical details as well as mathematical rigor with conceptual accessibility, particularly when teaching foundational QIST courses to an interdisciplinary group of students. The experts emphasize that successful QIST education for an interdisciplinary student body not only requires a shift from traditional quantum mechanics pedagogy for physics majors, but careful consideration of students’ diverse prior conceptual and mathematical foundations overall. They encourage students to pursue QIST related courses, degrees, and careers, highlighting the unique historical opportunity to participate in creating transformative quantum technologies while developing transferable skills for an evolving technological landscape. These findings provide valuable guidance for developing a framework for interdisciplinary QIST teaching especially useful for foundational courses.

量子信息科学与技术(QIST)的快速发展带来了独特的教育挑战,因为它汇集了来自许多学科的学生和研究人员。这项工作展示了对领先的量子研究人员的深入访谈的发现,他们也是教育工作者,他们的观点为开发跨学科QIST教学框架提供了指导,并建立在我们早期的论文上,重点关注QIST课程和课程。我们讨论了量子教育家对QIST教育的三个关键方面的思考:(1)共同跨学科语言的发展;(2)为来自不同学科的不同学生群体确定适当的抽象和物理细节水平;(3)为什么学生应该在这个快速发展的领域攻读课程、学位和职业。我们的分析表明,语言进化的出现,如“量子位”和“测量基础”,而不是专注于物理可观测物及其相应的厄米算子的测量,已经开始创造一个超越学科界限的统一框架。然而,教育工作者在平衡抽象与物理细节的水平以及数学严谨性与概念可及性方面面临着持续的挑战,特别是在向跨学科学生群体教授基础QIST课程时。专家们强调,成功的面向跨学科学生群体的QIST教育不仅需要从传统的物理专业量子力学教学法转变,还需要从整体上仔细考虑学生不同的先验概念和数学基础。他们鼓励学生攻读与QIST相关的课程、学位和职业,强调参与创造变革性量子技术的独特历史机遇,同时为不断发展的技术环境发展可转移的技能。这些发现为开发跨学科的QIST教学框架提供了有价值的指导,特别是对基础课程有用。
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引用次数: 0
Analog QAOA with Bayesian optimisation on a neutral atom QPU 在中性原子QPU上用贝叶斯优化模拟QAOA
IF 5.6 2区 物理与天体物理 Q1 OPTICS Pub Date : 2025-12-11 DOI: 10.1140/epjqt/s40507-025-00437-z
Simone Tibaldi, Lucas Leclerc, Davide Vodola, Edaordo Tignone, Elisa Ercolessi

This study explores the implementation of the Quantum Approximate Optimisation Algorithm (QAOA) in its analog form using a neutral atom quantum processing unit to solve the Maximum Independent Set problem. Our QAOA protocol leverages the natural encoding of problem Hamiltonians by Rydberg atom interactions, while employing Bayesian Optimisation to navigate the quantum-classical parameter space effectively under the constraints of hardware noise and resource limitations. We evaluate the approach through a combination of numerical simulations and experimental runs on Pasqal’s first commercial quantum processing unit, Orion Alpha, demonstrating effective parameter optimisation and noise mitigation strategies, such as selective bitstring discarding and detection error corrections. Results show that a limited number of measurements still allows for a quick convergence to a solution, making it a viable solution for resource-efficient scenarios.

本研究探讨了量子近似优化算法(QAOA)的模拟形式,使用中性原子量子处理单元来解决最大独立集问题。我们的QAOA协议利用Rydberg原子相互作用对问题哈密顿量的自然编码,同时采用贝叶斯优化在硬件噪声和资源限制的约束下有效地导航量子经典参数空间。我们通过在Pasqal的第一个商业量子处理单元Orion Alpha上进行数值模拟和实验运行来评估该方法,展示了有效的参数优化和噪声缓解策略,例如选择性位串丢弃和检测错误纠正。结果表明,有限数量的测量仍然允许快速收敛到解决方案,使其成为资源高效场景的可行解决方案。
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引用次数: 0
Quantum algorithm for solving McKean-Vlasov stochastic differential equations 求解McKean-Vlasov随机微分方程的量子算法
IF 5.6 2区 物理与天体物理 Q1 OPTICS Pub Date : 2025-12-10 DOI: 10.1140/epjqt/s40507-025-00453-z
Koichi Miyamoto

Quantum Monte Carlo integration (QMCI), a quantum algorithm for calculating expectations that provides a quadratic speed-up compared to its classical counterpart, is now attracting increasing interest in the context of its industrial and scientific applications. In this paper, we propose the first application of QMCI to solving McKean-Vlasov stochastic differential equations (MVSDEs), a nonlinear class of SDEs whose drift and diffusion coefficients depend on the law (mu _{t}) of the solution (X_{t})—appearing in fields such as finance and fluid mechanics. We focus on the problem setting where the coefficients depend on (mu _{t}) through expectations of some functions (mathbb{E}[varphi _{k}(X_{t})]), and the goal is to compute the expectation of a function (mathbb{E}[phi (X_{T})]) at a terminal time T. We devise a quantum algorithm that leverages QMCI to compute these expectations, combined with a high-order time discretization method for SDEs and extrapolation of the expectations in time. The proposed algorithm estimates (mathbb{E}[phi (X_{T})]) with accuracy ϵ, making (O(1/epsilon ^{1+2/p})) queries to the quantum circuit for time evolution over one step, where (pin (1,2]) is the weak order of the SDE discretization method. This demonstrates the speed-up over the well-known classical algorithm called the particle method with complexity of (O(1/epsilon ^{3})). We conduct numerical demonstrations of our quantum algorithm applied to examples of MVSDEs, with some parts emulated classically, and observe that the accuracy and complexity behave as expected.

量子蒙特卡罗积分(QMCI)是一种用于计算期望的量子算法,与经典算法相比,它提供了二次加速,现在在工业和科学应用的背景下吸引了越来越多的兴趣。在本文中,我们提出了QMCI在求解McKean-Vlasov随机微分方程(MVSDEs)中的第一个应用,MVSDEs是一类非线性的随机微分方程,其漂移和扩散系数依赖于解的定律(mu _{t})(X_{t}) -出现在金融和流体力学等领域。我们将重点放在系数通过某些函数(mathbb{E}[varphi _{k}(X_{t})])的期望依赖(mu _{t})的问题设置上,目标是计算函数(mathbb{E}[phi (X_{T})])在终端时间t的期望。我们设计了一种量子算法,利用QMCI来计算这些期望,结合SDEs的高阶时间离散化方法和期望的时间外推。提出的算法以精确的λ估计(mathbb{E}[phi (X_{T})]),对量子电路进行(O(1/epsilon ^{1+2/p}))查询,以便在一步内进行时间演化,其中(pin (1,2])是SDE离散化方法的弱阶。这证明了比著名的经典算法粒子法(复杂度为(O(1/epsilon ^{3})))的加速。我们将我们的量子算法应用于MVSDEs的实例进行了数值演示,并对一些部分进行了经典模拟,并观察到精度和复杂度符合预期。
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引用次数: 0
Quantum workshop for IT professionals 为资讯科技专业人士而设的量子工作坊
IF 5.6 2区 物理与天体物理 Q1 OPTICS Pub Date : 2025-12-10 DOI: 10.1140/epjqt/s40507-025-00450-2
Bettina Just, Jörg Hettel, Gerhard Hellstern

Quantum computing is gaining strategic relevance beyond research-driven industries. However, many companies lack the expertise to evaluate its potential for real-world applications. Traditional training formats often focus on physical principles without demonstrating practical relevance for their Business Processes, which limits success.

This paper presents a user-centered workshop concept tailored to IT professionals without prior quantum knowledge. Using a business simulation game set in a fictitious company, participants explore quantum technologies through relatable, application-driven scenarios. The flexible design allows customization for different organizational contexts.

Evaluation results from a one-day implementation at the IT-Tage 2024 indicate clear learning progress and increased awareness of practical use cases. The approach effectively bridges the gap between complex quantum concepts and industry-specific application needs.

量子计算正在获得超越研究驱动型行业的战略意义。然而,许多公司缺乏专业知识来评估其在实际应用中的潜力。传统的培训形式通常侧重于物理原理,而没有展示其业务流程的实际相关性,这限制了成功。本文提出了一个以用户为中心的研讨会概念,为没有先验量子知识的IT专业人员量身定制。通过在虚拟公司中设置的商业模拟游戏,参与者通过相关的、应用驱动的场景探索量子技术。灵活的设计允许针对不同的组织环境进行定制。在IT-Tage 2024上为期一天的实现的评估结果表明了清晰的学习进度和对实际用例的增强认识。该方法有效地弥合了复杂量子概念和行业特定应用需求之间的差距。
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引用次数: 0
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EPJ Quantum Technology
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