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Fault tolerant quantum key distribution with integrated time synchronization 集成时间同步的容错量子密钥分配
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-03-13 DOI: 10.1007/s11128-026-05123-2
Suresh Kumar Jha, Aditya Narayan Hati, Siddhanta Kumar Singh

Quantum Key Distribution (QKD) provides information-theoretic security, yet its practical deployment is strongly constrained by channel noise, timing uncertainty, and vulnerability to synchronization disturbances, particularly in noisy intermediate-scale quantum (NISQ) systems. This paper proposes a synchronization-aware QKD protocol in which timing estimation and key generation are explicitly integrated at the protocol level. The scheme embeds frame-level clock offset estimation, time-domain detection filtering, and adaptive coincidence-window control directly into the QKD workflow, allowing synchronization quality to directly govern key acceptance. The protocol operates on discrete, time-tagged single-photon detection events and does not rely on continuous pulse assumptions. Timing uncertainty arising from detector jitter and bounded adversarial delay is reflected in the synchronization acceptance probability and contributes explicitly to the quantum bit error rate (QBER). A hybrid simulation framework combining NetSquid-based quantum-layer modeling with event-driven classical control is used to evaluate protocol performance under realistic detector and channel parameters. Simulation results demonstrate that adaptive detection-window control effectively mitigates performance degradation due to timing jitter and bounded delay attacks, maintaining positive finite-key secure key rates and fidelity above (97%) under realistic operating conditions. Comparative evaluation against BB84, E91, Twin-Field QKD, and High-Dimensional QKD indicates improved tolerance to timing uncertainty and adversarial delay without modifying the underlying QKD primitives. These results highlight the importance of synchronization-aware design for robust QKD operation and support the feasibility of the proposed approach in practical quantum communication networks.

量子密钥分发(QKD)提供了信息理论上的安全性,但其实际部署受到信道噪声、时间不确定性和易受同步干扰的严重限制,特别是在有噪声的中等规模量子(NISQ)系统中。本文提出了一种同步感知的QKD协议,该协议在协议级显式地集成了时间估计和密钥生成。该方案将帧级时钟偏移估计、时域检测滤波和自适应吻合窗口控制直接嵌入到QKD工作流中,允许同步质量直接控制密钥接受。该协议适用于离散的、时间标记的单光子探测事件,而不依赖于连续脉冲假设。由检测器抖动和有界对抗延迟引起的时间不确定性反映在同步接受概率中,并对量子误码率(QBER)有明确的贡献。采用基于netsquid的量子层建模与事件驱动的经典控制相结合的混合仿真框架,对真实探测器和信道参数下的协议性能进行了评估。仿真结果表明,自适应检测窗口控制有效地缓解了由时序抖动和有界延迟攻击引起的性能下降,在实际运行条件下保持有限密钥安全密钥率和保真度高于(97%)。对BB84、E91、双场QKD和高维QKD的比较评估表明,在不修改潜在QKD原式的情况下,提高了对时间不确定性和对抗性延迟的耐受性。这些结果强调了同步感知设计对于稳健的QKD操作的重要性,并支持了所提出的方法在实际量子通信网络中的可行性。
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引用次数: 0
Enhanced communication enabled by coherent control of channels 通过通道的连贯控制增强通信
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-03-10 DOI: 10.1007/s11128-026-05117-0
Neeraj Subesh, Rajameenakshi Subramanian, Rajiuddin Sk, Prasanta K. Panigrahi

One of the key challenges in building a robust quantum network is the efficient distribution of entanglement and mitigating the detrimental effects of noise, which limit the information transmission rate of quantum channels. In this work, we address these challenges by utilizing the superposition of trajectories and indefinite causal orders. We demonstrate that the effects of amplitude damping can be mitigated using a bit-flip channel, while phase damping can be countered with phase-flip noise. Additionally, depolarizing noise can be suppressed using a bit-phase flip channel. Our results show that at lower noise levels, a coherent superposition of channels is more effective, whereas at higher noise levels, a quantum switch implementing indefinite causal order provides better performance. We compute the quantum capacity of channels in both indefinite causal order and coherent superposition scenarios, revealing that coherent control over quantum channels and indefinite causal order can significantly enhance channel capacity compared to a single application of the channel.

构建鲁棒量子网络的关键挑战之一是有效分配纠缠和减轻噪声的不利影响,噪声限制了量子信道的信息传输速率。在这项工作中,我们通过利用轨迹的叠加和不确定的因果顺序来解决这些挑战。我们证明了振幅阻尼的影响可以使用位翻转信道来减轻,而相位阻尼可以用相位翻转噪声来抵消。此外,可以使用位相翻转信道抑制去极化噪声。我们的研究结果表明,在低噪声水平下,信道的相干叠加更有效,而在高噪声水平下,实现不确定因果顺序的量子开关提供了更好的性能。我们计算了不确定因果顺序和相干叠加场景下信道的量子容量,揭示了对量子信道和不确定因果顺序的相干控制与通道的单一应用相比可以显着提高信道容量。
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引用次数: 0
Open QBench: A benchmarking framework for evaluating quantum computing platforms Open QBench:用于评估量子计算平台的基准测试框架
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-03-09 DOI: 10.1007/s11128-026-05115-2
Konrad Wojciechowski, Krzysztof Kurowski, Mateusz Slysz, Tomasz Pecyna

The diverse landscape of quantum computing modalities and software frameworks poses significant challenges for evaluating performance across a range of computational tasks and applications. Benchmarking procedures for quantum computers are often intricate and difficult to reproduce for end-users, quantum algorithm developers, and quantum resource providers. This challenge is compounded by the emergence of analog, non-universal approaches to quantum information processing, including quantum annealers, boson samplers, and quantum simulators. Recent advances in quantum computing technology underscore the increasing need for well-defined, comprehensive, and standardized methods for performance benchmarking. This paper introduces an open and modular software framework to enhance the reproducibility and execution of quantum benchmarking experiments. The core utility of the framework lies in enabling seamless, standardized execution of benchmarks across diverse quantum computing modalities—including gate-based, photonic, and annealing QPUs—at various levels of the quantum-classical stack. As a practical demonstration of current capabilities, we present a novel methodology to deploy an application-driven benchmarking suite. To the best of our knowledge, no other benchmarking framework attempts to cover all three described modalities across different benchmarking levels. While some approaches enable such comparisons at a certain level, these analyses often do not provide a complete picture and must be complemented with additional and hardware specific metrics. Our framework, based on a curated set of representative problems for different user communities, is executed at both the circuit level and the hybrid classical-quantum level to provide a comprehensive assessment of quantum system performance. Finally, we propose an approach for analyzing performance results using multiple-criteria decision analysis (MCDA), which allows us to incorporate different performance metrics into a unified decision-making process that supports more transparent and interpretable benchmarking results.

量子计算模式和软件框架的多样性对评估一系列计算任务和应用程序的性能提出了重大挑战。对于最终用户、量子算法开发者和量子资源提供商来说,量子计算机的基准测试程序通常是复杂且难以复制的。这一挑战由于量子信息处理的模拟、非通用方法的出现而变得更加复杂,包括量子退火器、玻色子采样器和量子模拟器。量子计算技术的最新进展强调了对性能基准测试的明确、全面和标准化方法的日益增长的需求。本文介绍了一个开放的模块化软件框架,以提高量子基准测试实验的可重复性和可执行性。该框架的核心功能在于在量子经典堆栈的各个级别上实现跨各种量子计算模式(包括基于门的、光子的和退火的qpu)的无缝、标准化的基准执行。作为当前功能的实际演示,我们提出了一种新的方法来部署应用程序驱动的基准测试套件。据我们所知,没有其他基准测试框架试图在不同的基准测试水平上涵盖所有描述的三种模式。虽然有些方法可以在某个级别上进行这种比较,但这些分析通常不能提供完整的图像,必须使用额外的和特定于硬件的度量来补充。我们的框架基于针对不同用户群体的一组有代表性的问题,在电路级和混合经典量子级执行,以提供对量子系统性能的全面评估。最后,我们提出了一种使用多标准决策分析(MCDA)分析绩效结果的方法,该方法使我们能够将不同的绩效指标纳入统一的决策过程,从而支持更透明和可解释的基准测试结果。
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引用次数: 0
Binary integer programming for optimizing ebit cost in distributed quantum circuits with fixed module allocation 基于二进制整数规划的固定模块分配分布式量子电路ebit成本优化
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-03-07 DOI: 10.1007/s11128-026-05112-5
Hyunho Cha, Jungwoo Lee

Modular and networked quantum architectures can scale beyond the qubit count of a single device, but executing a circuit across modules requires implementing non-local two-qubit gates using shared entanglement (ebits) and classical communication, making ebit cost a central resource in distributed execution. The resulting distributed quantum circuit (DQC) problem is combinatorial, motivating prior heuristic approaches such as hypergraph partitioning. In this work, we decouple module allocation from distribution. For a fixed module allocation (i.e., assignment of each qubit to a specific quantum processing unit), we formulate the remaining distribution layer as an exact binary integer programming (BIP). This yields solver optimal distributions for the fixed allocation subproblem and can be used as a post-processing step on top of any existing allocation method. We derive compact BIP formulations for four or more modules and a tighter specialization for three modules. Across a diverse benchmark suite, BIP post-processing reduces ebit cost by up to 20% for random circuits and by more than an order of magnitude for some arithmetic circuits. While the method incurs offline classical overhead, it is amortized when circuits are executed repeatedly.

模块化和网络化量子架构可以扩展到单个设备的量子位数之外,但是跨模块执行电路需要使用共享纠缠(ebit)和经典通信实现非本地双量子位门,这使得ebit成本成为分布式执行的中心资源。由此产生的分布式量子电路(DQC)问题是组合的,激发先验启发式方法,如超图划分。在这项工作中,我们将模块分配与分布解耦。对于固定的模块分配(即将每个量子位分配给特定的量子处理单元),我们将剩余的分布层表述为精确二进制整数规划(BIP)。这为固定分配子问题产生求解器最优分布,并且可以用作任何现有分配方法之上的后处理步骤。我们为四个或更多模块推导了紧凑的BIP公式,并为三个模块推导了更严格的专门化。在不同的基准测试套件中,对于随机电路,BIP后处理可将ebit成本降低高达20%,对于某些算术电路,可降低一个数量级以上。虽然该方法会导致离线经典开销,但当电路重复执行时,它会被平摊。
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引用次数: 0
Schrödinger’s bug: a survey on quantum software debugging Schrödinger的bug:量子软件调试调查
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-03-05 DOI: 10.1007/s11128-026-05114-3
Evandro Rosa, Rafael Santiago

Quantum computing offers the potential for exponential speed-ups for classically intractable problems, yet quantum programming is still susceptible to bugs. Classical debugging methods are often inadequate, as quantum mechanical principles make state inspection disruptive and classical simulation has exponential time complexity. This survey explores the landscape of quantum assertions as a key technique for identifying and locating bugs in quantum programs. We classify these techniques into two primary categories based on their evaluation stage: classical runtime and quantum runtime assertions. For each category, we analyze the strengths, limitations, time complexity, and applicability of current methods. Our findings show that scalable quantum debugging remains an open problem—a challenge that will persist even with the advent of fault-tolerant hardware. Finally, this work highlights key challenges and proposes future directions for the development of novel quantum debugging techniques.

量子计算为经典棘手问题提供了指数级加速的潜力,但量子编程仍然容易受到错误的影响。经典的调试方法往往不足,因为量子力学原理使状态检测具有破坏性,经典模拟具有指数级的时间复杂度。本调查探讨了量子断言作为识别和定位量子程序中错误的关键技术的前景。我们根据评估阶段将这些技术分为两大类:经典运行时断言和量子运行时断言。对于每个类别,我们分析了当前方法的优势,局限性,时间复杂性和适用性。我们的研究结果表明,可扩展的量子调试仍然是一个悬而未决的问题——即使出现了容错硬件,这个挑战也将持续存在。最后,本工作强调了关键挑战,并提出了新型量子调试技术发展的未来方向。
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引用次数: 0
Modified resource measures for quantum resource theory 修正了量子资源理论的资源度量
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-03-03 DOI: 10.1007/s11128-026-05116-1
Zhe Ji, Lei Li, Jun-Ru Wu, Ming Li

Quantum resource theories (QRTs) provide a versatile framework for quantifying and manipulating quantum resources, with widespread applications in quantum communication, computation, and information processing. While the (epsilon )-D version of resource measures has been previously studied, its applicability has been largely restricted to addressing experimental imperfections. To tackle broader challenges such as adversarial interference and probabilistic noise, this paper introduces three novel approaches: the (delta )-(mathcal {T}) version and two weighted integral versions. These measures extend the robustness framework of QRTs, enabling a more comprehensive evaluation of quantum resource resilience under realistic conditions. We rigorously analyze their theoretical properties, including non-negativity, monotonicity, convexity, asymptotic continuity, and monogamy, demonstrating their robustness and versatility. As applications to resource dilution protocols, we establish these measures as fundamental lower bounds for resource costs, showcasing their practical relevance in the design of resilient quantum protocols. This work provides fresh insights into resource quantification within QRTs and offers strong theoretical support for secure and reliable quantum communication and computation protocols.

量子资源理论(QRTs)为量子资源的量化和操作提供了一个通用的框架,在量子通信、计算和信息处理中有着广泛的应用。虽然先前已经研究了(epsilon ) -D版本的资源测量,但其适用性在很大程度上仅限于解决实验缺陷。为了解决诸如对抗性干扰和概率噪声等更广泛的挑战,本文引入了三种新方法:(delta ) - (mathcal {T})版本和两个加权积分版本。这些措施扩展了qrt的鲁棒性框架,能够更全面地评估现实条件下的量子资源弹性。我们严格地分析了它们的理论性质,包括非负性、单调性、凸性、渐近连续性和一夫一妻制,证明了它们的鲁棒性和通用性。作为资源稀释协议的应用,我们将这些措施作为资源成本的基本下限,展示了它们在弹性量子协议设计中的实际相关性。这项工作为qrt中的资源量化提供了新的见解,并为安全可靠的量子通信和计算协议提供了强有力的理论支持。
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引用次数: 0
Hermitian dual-containing constacyclic BCH codes of new length and related quantum codes 新长度厄密双含常圈BCH码及相关量子码
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-03-03 DOI: 10.1007/s11128-026-05118-z
Xueting Wang, Junling Zhou

Constacyclic BCH codes, as a generalization of BCH codes, have been widely used in the construction of quantum codes. In this paper, we mainly study narrow-sense Hermitian dual-containing constacyclic BCH codes over (mathbb {F}_{q^2}) of new length (n=frac{q^{2m}-1}{a(q+1)}), where q is a prime power, (m ge 3) is an odd integer and (a ne 1) is a divisor of (q-1), as well as of length (n=frac{2(q^m+1)}{q+1}), where q is an odd prime power and (m ge 3) is odd. Firstly, we present some necessary and sufficient conditions for these constacyclic BCH codes to be Hermitian dual-containing. Secondly, the explicit dimensions of these constacyclic BCH codes are completely determined. Furthermore, some quantum codes with new parameters are constructed by these Hermitian dual-containing constacyclic BCH codes.

恒环BCH码作为BCH码的一种推广,在量子码的构造中得到了广泛的应用。本文主要研究了(mathbb {F}_{q^2})上具有新长度(n=frac{q^{2m}-1}{a(q+1)})(其中q是素数幂,(m ge 3)是奇数,(a ne 1)是(q-1)的因数)和长度(n=frac{2(q^m+1)}{q+1})(其中q是奇数素数幂,(m ge 3)是奇数)的狭义双含恒环BCH码。首先,我们给出了这些恒环BCH码是厄密双含码的充分必要条件。其次,完全确定了这些常循环BCH码的显式维数。此外,利用这些厄米双含常环BCH码构造了一些具有新参数的量子码。
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引用次数: 0
Practical high-dimensional spatial-path GHZ state preparation protocol with practical SPDC sources and non-ideal photon detectors 实用的高维空间路径GHZ状态制备协议与实用SPDC源和非理想光子探测器
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-03-02 DOI: 10.1007/s11128-026-05108-1
Yu-Hao Wang, Meng-Dong Zhu, Xing-Fu Wang, Wei Zhong, Ming-Ming Du, Lan Zhou, Yu-Bo Sheng

High-dimensional multipartite entanglement plays a central role in high-capacity anti-noise quantum communication and quantum computation fields. In the paper, we propose a practical preparation protocol for four-photon three-dimensional spatial-path GHZ state with spontaneous parametric down-conversion (SPDC) sources and non-ideal photon detectors. Our preparation protocol is highly feasible under current experimental conditions. The SPDC source and the non-ideal photon detectors would introduce disturbed items into the output quantum state and reduce the fidelity of the target three-dimensional spatial-path GHZ state to about 0.09. By adopting the quantum non-demolition detection on two of the four output modes, one can eliminate most of the disturbed items and increase the fidelity to about 3/7. Our protocol can provide a theoretical guidance for the experimental preparation of the high-dimensional spatial-path GHZ state and has application potential in future quantum communication and computation field.

高维多部纠缠在高容量抗噪声量子通信和量子计算领域发挥着核心作用。本文提出了一种利用自发参数下转换(SPDC)源和非理想光子探测器制备四光子三维空间路径GHZ态的实用方案。我们的制备方案在目前的实验条件下是高度可行的。SPDC源和非理想光子探测器会在输出量子态中引入干扰项,使目标三维空间路径GHZ态的保真度降低到0.09左右。通过对四种输出模式中的两种采用量子不破坏检测,可以消除大部分干扰项,并将保真度提高到3/7左右。该协议可为高维空间路径GHZ态的实验制备提供理论指导,在未来量子通信和计算领域具有应用潜力。
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引用次数: 0
Control of vertex probability via edge-weight modulation in continuous-time quantum walks 连续时间量子行走中基于边权调制的顶点概率控制
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-03-02 DOI: 10.1007/s11128-026-05111-6
Rafael Vieira, Edgard P. M. Amorim

Continuous-time quantum walks (CTQWs) provide a versatile framework for exploring quantum transport on graphs. In this work, we investigate how the introduction of edge-weight modulation at a single vertex can suppress its occupation probability. We show that when the edges connected to the root vertex are enhanced by a factor J, the probability of detecting the walker at this vertex decays as (1/J^2), provided the initial state has no components on the vertex itself or its nearest neighbors. We derive the full eigenvalue and eigenvector structure of this system, revealing that the suppression arises from the decoupling of two symmetric line subgraphs and the destructive interference of higher-order contributions. The analysis is extended to tree graphs, where we demonstrate the same scaling behavior and identify the role of local graph geometry in controlling vertex probabilities. These results suggest edge-weight modulation as a mechanism for manipulating transport pathways in CTQWs, with potential applications in quantum information transfer and state engineering, and may serve as a probe of decoherence effects in open quantum systems.

连续时间量子行走(CTQWs)为探索图上的量子输运提供了一个通用的框架。在这项工作中,我们研究了如何在单个顶点引入边权调制来抑制其占据概率。我们证明,当连接到根顶点的边被一个因子J增强时,在该顶点检测到行走者的概率衰减为(1/J^2),前提是初始状态在顶点本身或其最近的邻居上没有分量。我们推导了该系统的全特征值和特征向量结构,揭示了这种抑制是由两个对称线子图的解耦和高阶贡献的相消干涉引起的。将分析扩展到树图,在那里我们展示了相同的缩放行为,并确定了局部图几何在控制顶点概率中的作用。这些结果表明,边权调制是CTQWs中操纵传输路径的一种机制,在量子信息传输和状态工程中具有潜在的应用前景,并可能作为开放量子系统中退相干效应的探针。
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引用次数: 0
Construction and analysis of a tripartite scheme for deterministically sharing an arbitrary single-qubit operation via five-qubit entangled state 通过五量子比特纠缠态确定共享任意单量子比特操作的三方方案的构建与分析
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-03-02 DOI: 10.1007/s11128-026-05110-7
Hao Yuan, Jin-Hua Yu, Zhan-Jun Zhang

On the basis of the five-qubit entangled state introduced by Briegel and Raussendorf (Phys. Rev. Lett. 86: 910, 2001), we propose a tripartite scheme for remotely sharing an arbitrary single-qubit operation. Unlike some existing quantum operation schemes, this scheme is distinguished by an arbitrary rather than a restricted shared operation; a deterministic rather than a probabilistic chance of final success; local rather than nonlocal necessary operations; and a relatively high intrinsic efficiency. Additionally, the essential operation functions, the physical mechanisms, and the security of the scheme are analyzed and confirmed comprehensively. Furthermore, the impact of phase-damping noise on our scheme is analyzed via fidelity. Investigation shows that the proposed scheme is fully realizable with currently available experimental technologies.

在Briegel和Raussendorf(物理学家)引入的五量子比特纠缠态的基础上。我们提出了一种远程共享任意单量子比特操作的三方方案。与现有的一些量子操作方案不同,该方案的特点是任意而不是受限的共享操作;最终成功的决定性机会,而不是概率性机会;本地而非非本地必要操作;以及相对较高的内在效率。对该方案的基本运行功能、物理机制和安全性进行了全面的分析和确认。此外,通过保真度分析了相位阻尼噪声对方案的影响。实验表明,该方案在现有实验技术条件下是完全可行的。
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引用次数: 0
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Quantum Information Processing
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