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Feature prediction in quantum graph recurrent neural networks with applications in information hiding 量子图递归神经网络特征预测及其在信息隐藏中的应用
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-02-06 DOI: 10.1007/s11128-026-05069-5
Jawaher Kaldari, Saif Al-Kuwari

Graphs are fundamental structures for representing complex, nonlinear structured data across various domains, including social networks and quantum systems. Quantum graph recurrent neural networks (QGRNNs) have been proposed to model quantum dynamics in graph-based quantum systems, but their applicability to classical data remains an open problem. In this paper, we leverage QGRNNs to process classical graph-structured data. In particular, we demonstrate how QGRNN can reconstruct node features in classical datasets. Our results show that QGRNN achieves high feature reconstruction accuracy, resulting in near-perfect classification. Furthermore, we propose an information hiding technique based on our QGRNN, where messages are embedded into a graph and then retrieved under certain conditions. We assess retrieval accuracy for different dictionary sizes and message lengths, showing that QGRNN maintains high retrieval accuracy, with minor degradation as complexity increases. These findings demonstrate the scalability and robustness of QGRNNs for both classical data processing and secure information hiding, paving the way toward quantum-enhanced feature extraction, privacy-preserving computations, and quantum steganography.

图是表示各种领域(包括社交网络和量子系统)的复杂、非线性结构化数据的基本结构。量子图递归神经网络(QGRNNs)已被提出用于模拟基于图的量子系统中的量子动力学,但其对经典数据的适用性仍然是一个悬而未决的问题。在本文中,我们利用qgrnn来处理经典的图结构数据。特别是,我们展示了QGRNN如何在经典数据集中重建节点特征。我们的研究结果表明,QGRNN实现了较高的特征重构精度,实现了近乎完美的分类。此外,我们提出了一种基于QGRNN的信息隐藏技术,该技术将消息嵌入到图中,然后在特定条件下检索。我们评估了不同字典大小和消息长度的检索精度,结果表明QGRNN保持了较高的检索精度,随着复杂度的增加而略有下降。这些发现证明了qgrnn在经典数据处理和安全信息隐藏方面的可扩展性和鲁棒性,为量子增强的特征提取、隐私保护计算和量子隐写术铺平了道路。
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引用次数: 0
Hybrid quantum–classical machine translation 混合量子-经典机器翻译
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-02-03 DOI: 10.1007/s11128-025-05032-w
Mina Abbaszadeh, Mariam Zomorodi, Mehrnoosh Sadrzadeh, Vahid Salari, Philip Kurian

This study investigates the feasibility of language translation using quantum natural language processing (QNLP) on noisy intermediate-scale quantum devices. Classical NLP struggles with large-scale computations, but QNLP leverages quantum properties to process linguistic data more efficiently, potentially advancing NLP applications. We propose a hybrid quantum–classical model for neural machine translation, which may outperform classical methods whenever practical quantum computers are available. Using the Shannon entropy, we demonstrate the importance of rotation gate angles in parameterised quantum circuits, enabling communication between circuits for different languages. We combine bag-of-words and compositional structure models, presenting the first proof-of-concept for compositional QNLP, where circuit parameters and structure are key to model interpretability. Focusing on sentences with similar structures, we implement an encoder–decoder model with long short-term memory (LSTM) networks for translation. Experiments on 160 English–Persian sentence pairs achieved the best results with Adam as the optimiser on a two-layer LSTM, minimising loss relative to both stochastic gradient descent and root-mean-square propagation (RMSprop).

本研究探讨了使用量子自然语言处理(QNLP)在有噪声的中尺度量子器件上进行语言翻译的可行性。经典的NLP难以进行大规模计算,但QNLP利用量子特性更有效地处理语言数据,有可能推进NLP的应用。我们提出了一种神经机器翻译的混合量子-经典模型,该模型在实用量子计算机可用时可能优于经典方法。利用香农熵,我们证明了旋转门角在参数化量子电路中的重要性,使不同语言的电路之间能够通信。我们将词袋模型和组合结构模型结合起来,提出了组合QNLP的第一个概念证明,其中电路参数和结构是模型可解释性的关键。针对结构相似的句子,我们实现了一个具有长短期记忆(LSTM)网络的编码器-解码器模型。在160对英语-波斯语句子对的实验中,Adam作为两层LSTM的优化器获得了最好的结果,最小化了相对于随机梯度下降和均方根传播(RMSprop)的损失。
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引用次数: 0
Quantum communications in airborne environment with boundary layer effects 边界层效应下机载环境中的量子通信
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-02-02 DOI: 10.1007/s11128-026-05058-8
Zhi-Feng Deng, Jie Tang, Ya Wang, Jia-Hao Li, Hao-Ran Hu, Dan Wu, Yue-Xiang Cao, Ying Liu, Xing-Yu Wang, Hua-Zhi Lun, Jia-Hua Wei, Hui-Cun Yu, Lei Shi

Free-space quantum key distribution (QKD) is crucial for establishing secure global quantum communication networks. The realization of such networks will critically depend on airborne platforms, which enable the deployment of mobile nodes and adaptive topology reconfiguration. When analyzing optical transmission in airborne environments, we must account for various factors including diffraction, atmospheric extinction, pointing errors, atmospheric turbulence, and the boundary layer (BL) effects specific to airborne platforms. Unlike previous studies that have primarily focused on atmospheric turbulence, this work investigates the free-space optical (FSO) channel in airborne environments by incorporating BL effects, where we cannot ignore photon deflection caused by the BL. Furthermore, we establish fundamental limits for quantum communication with BL effects and evaluate the achievable secret key rate for continuous-variable quantum key distribution (CV-QKD).

自由空间量子密钥分发(QKD)对于建立安全的全球量子通信网络至关重要。这种网络的实现将严重依赖机载平台,机载平台能够部署移动节点和自适应拓扑重构。在分析机载环境下的光传输时,必须考虑各种因素,包括衍射、大气消光、指向误差、大气湍流以及机载平台特有的边界层(BL)效应。与以往主要关注大气湍流的研究不同,本研究通过结合BL效应研究了机载环境中的自由空间光学(FSO)信道,其中我们不能忽略BL引起的光子偏折。此外,我们建立了具有BL效应的量子通信的基本限制,并评估了连续变量量子密钥分发(CV-QKD)可实现的密钥速率。
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引用次数: 0
Surface plasmon resonance enhances the photonic spin hall shift at four-level atomic system 表面等离子体共振增强了四能级原子系统的光子自旋霍尔位移
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-02-02 DOI: 10.1007/s11128-026-05059-7
Qaisar Khan, Ibrahim Al-Dayel, Meraj Ali Khan, Majid Khan

In this paper a method is proposed in which the photonic spin hall shift is enhanced by the surface-plasmon resonance. The enhancement of the PSHS through surface plasmon resonance has been extensively examined in a four-level dielectric medium. By coating the silver metal with a high-refractive-index prism and placing a four level dielectric medium on metal surface, the PSHS can be significantly amplified. This results in a substantial transverse displacement of the horizontal polarization state, attributed to the intensified evanescent field at the interface between the dielectric medium and the silver metal surface. By adjusting the parameters of the driving fields, the photonic spin shift can be controlled to exhibit either positive or negative values. The maximum values of the spin hall shift are in the range of (pm 34.070lambda le Shift_{(L,R)}le pm 34.082lambda ) with probe field detuning ((D_{p})= 5 G) and the minimum value is reported to be ( pm 10 lambda ) against the incidence angle and control field Rabi frequency ((theta _i)= 0.8 rad and (R_1)= same on all values). These findings have promising applications in areas, such as sensors, spintronics, magnetic data storage, and quantum information technologies.

本文提出了一种利用表面等离子体共振增强光子自旋霍尔位移的方法。在四能级介质中广泛研究了表面等离子体共振对PSHS的增强作用。通过在银金属表面包覆高折射率棱镜,并在金属表面放置四能级介电介质,可以明显地放大PSHS。由于介电介质与银金属表面界面处的倏逝场增强,导致水平偏振态的横向位移较大。通过调节驱动场的参数,可以控制光子自旋位移为正或负值。探头场失调谐时,自旋霍尔位移的最大值在(pm 34.070lambda le Shift_{(L,R)}le pm 34.082lambda )范围内((D_{p}) = 5 G),最小值据报道为( pm 10 lambda ),相对于入射角和控制场拉比频率((theta _i) = 0.8 rad, (R_1) =所有值相同)。这些发现在传感器、自旋电子学、磁数据存储和量子信息技术等领域有很好的应用前景。
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引用次数: 0
Secure one-sided device-independent quantum key distribution under collective attacks with enhanced robustness 增强鲁棒性的集体攻击下安全的单边设备无关量子密钥分发
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-31 DOI: 10.1007/s11128-026-05073-9
Pritam Roy, Subhankar Bera, A. S. Majumdar

We study the security of a quantum key distribution protocol under the one-sided device-independent (1sDI) setting, which assumes trust in only one party’s measurement device. This approach effectively provides a balance between the experimental viability of device-dependent and the minimal trust assumptions of device-independent (DI-QKD). An analytical lower bound on the asymptotic key rate is derived to provide security against collective attacks, in which the eavesdropper’s information is limited only by the function of observed violation of a linear quantum steering inequality, specifically the three-setting Cavalcanti–Jones–Wiseman–Reid inequality. We provide a closed-form key rate formula by reducing the security analysis to mixtures of Bell-diagonal states by utilizing symmetries of the steering functional. We show that the protocol tolerates higher quantum bit error rates than present DI-QKD protocols by benchmarking its performance under depolarizing noise. Furthermore, we explore the impact of detection inefficiencies and show that, in contrast to DI-QKD, which requires near-perfect detection, secure key generation can be achieved even with lower detection efficiency on the untrusted side. These findings highlight the advantages of 1sDI-QKD as a steering-based alternative for secure quantum communication and provide insights relevant for near-future experimental implementations.

研究了单边设备无关(单边设备无关)设置下的量子密钥分发协议的安全性,该协议假设只信任一方的测量设备。这种方法有效地在设备依赖的实验可行性和设备独立(DI-QKD)的最小信任假设之间提供了平衡。推导了渐近密钥率的解析下界,以提供对集体攻击的安全性,在集体攻击中,窃听者的信息仅受观察到的违反线性量子转向不等式的函数的限制,特别是三集卡瓦尔坎蒂-琼斯-怀斯曼-里德不等式。利用转向泛函的对称性,将安全性分析简化为钟对角线状态的混合,给出了一个封闭式密钥率公式。我们通过对其在去极化噪声下的性能进行基准测试,表明该协议比现有的DI-QKD协议容忍更高的量子比特误码率。此外,我们探讨了检测效率低下的影响,并表明,与需要近乎完美检测的DI-QKD相比,即使在不可信端的检测效率较低,也可以实现安全密钥生成。这些发现突出了1sDI-QKD作为基于导向的安全量子通信替代方案的优势,并为近期的实验实现提供了相关见解。
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引用次数: 0
Some constructions of quantum subsystem codes 量子子系统代码的一些构造
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-29 DOI: 10.1007/s11128-025-05040-w
Guohui Wang, Yucheng Chen, Chunming Tang, Chengzong Li

Quantum error-correcting codes have always been important technologies to ensure the reliability and security of quantum communication. In this paper, we construct some optimal quantum subsystem codes using generalized Reed–Solomon codes over finite fields with odd characteristics. These new construction methods enrich the construction ideas of quantum subsystem codes, and many optimal quantum subsystem codes can be derived.

量子纠错码一直是保证量子通信可靠性和安全性的重要技术。本文利用具有奇特征的有限域上的广义Reed-Solomon码构造了一些最优量子子系统码。这些新的构造方法丰富了量子子系统码的构造思路,可以推导出许多最优的量子子系统码。
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引用次数: 0
m-Photon-added squeezed vacuum states of the para-Bose oscillator algebra 准玻色振子代数中加入m光子的压缩真空态
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-29 DOI: 10.1007/s11128-026-05070-y
H. Fakhri, M. Mansoor-Bahmani

We derive the Fock and position-space representations of squeezed vacuum states and their photon-added extensions associated with the para-Bose oscillator algebra of order (mathcal{P}=2lambda +1), which constitutes a parity deformation of the standard harmonic oscillator algebra recovered at (mathcal{P}=1). For orders greater than one, we establish the resolution of the identity for both squeezed vacuum states and arbitrary m-photon-added squeezed vacuum states over the unit disk by constructing appropriate positive-definite measures, which depend on (lambda ) and on the pair ((lambda ,m)), respectively. For odd values of the deformation order, we obtain the Wigner function of the squeezed vacuum states in phase space in the position representation and show that the emergence of negative regions, absent in the harmonic oscillator case, serves as a clear signature of nonclassicality for (mathcal{P}>1). We further analyze the individual roles of the parameters (lambda ) and m in enhancing or suppressing nonclassical features, including quadrature squeezing, sub-Poissonian photon statistics, photon antibunching, and entanglement in their corresponding quasi-Bell states. Optical tomograms of the m-photon–added squeezed vacuum states are constructed for even values of (lambda ) by solving a real eigenvalue equation for the annihilation operator. Finally, a schematic analysis is presented to elucidate how the parameters (lambda ) and m govern the structure of the resulting optical tomograms.

我们推导了压缩真空态的Fock和位置空间表示及其与(mathcal{P}=2lambda +1)阶的准玻色振子代数相关的光子添加扩展,这构成了在(mathcal{P}=1)恢复的标准谐振子代数的宇称变形。对于大于1的阶数,我们通过构造适当的正定测度(分别依赖于(lambda )和((lambda ,m))对),建立了单位圆盘上压缩真空态和任意添加m光子的压缩真空态的同一性的分辨率。当变形阶数为奇数时,我们得到了位置表示中相空间中压缩真空态的Wigner函数,并证明了负区域的出现是(mathcal{P}>1)的非经典性的明显标志,而谐振子情况下则不存在。我们进一步分析了参数(lambda )和m在增强或抑制非经典特征方面的作用,包括正交压缩、亚泊松光子统计、光子反聚束和相应准贝尔态的纠缠。通过求解湮灭算子的实特征值方程,构造了偶值(lambda )下m光子加入的压缩真空态的光学层析图。最后,给出了一个原理图分析,以阐明参数(lambda )和m如何控制所得光学层析图的结构。
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引用次数: 0
Quantum teleportation in expanding FRW universe 宇宙膨胀中的量子隐形传态
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-27 DOI: 10.1007/s11128-026-05065-9
Babak Vakili

We investigate the process of quantum teleportation in an expanding universe modeled by Friedmann–Robertson–Walker spacetime, focusing on two cosmologically relevant scenarios: a power-law expansion and the de Sitter universe. Adopting a field-theoretical approach, we analyze the quantum correlations between two comoving observers who share an entangled mode of a scalar field. Using the Bogoliubov transformation, we compute the teleportation fidelity and examine its dependence on the expansion rate, initial entanglement, and the mode frequency. Our findings indicate that spacetime curvature and the underlying cosmological background significantly affect the efficiency of quantum teleportation, particularly through mode mixing and vacuum structure. We also compare our results with the flat Minkowski case to highlight the role of cosmic expansion in degrading or preserving quantum information.

我们研究了弗里德曼-罗伯逊-沃克时空模型中膨胀宇宙中的量子隐形传态过程,重点研究了两种宇宙学上相关的场景:幂律膨胀和德西特宇宙。采用场理论的方法,我们分析了共享一个标量场纠缠模式的两个运动观测者之间的量子相关性。利用Bogoliubov变换,我们计算了隐形传态保真度,并研究了它与膨胀速率、初始纠缠和模态频率的关系。我们的研究结果表明,时空曲率和潜在的宇宙背景显著影响量子隐形传态的效率,特别是通过模式混合和真空结构。我们还将我们的结果与平闵可夫斯基情况进行了比较,以突出宇宙膨胀在降低或保留量子信息中的作用。
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引用次数: 0
A review on quantum Fourier transform 量子傅里叶变换研究进展
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-27 DOI: 10.1007/s11128-026-05067-7
Tomás Barros, Pablo Álvarez, Bárbara Vidal, Mauricio Solar

This survey presents a comprehensive analysis of the quantum Fourier transform (QFT), a fundamental tool in quantum computing, in comparison to its classical counterpart, the fast Fourier transform (FFT). The study begins with an introduction to the classical Fourier transform, which is widely used in different disciplines such as signal and image processing. The article introduces the QFT as a quantum version of the Fourier transform, detailing how it leverages quantum parallelism and superposition to reduce the time complexity of the operation, and highlighting its crucial role in quantum algorithms like Shor’s algorithm for integer factorization. The analysis also addresses the mathematical foundations of the QFT, its implementation in quantum circuits, and the key advantages and challenges associated with its use, such as measurement precision and quantum decoherence. Finally, it concludes with an exploration of the current and potential applications of QFT in quantum computing.

本研究对量子傅里叶变换(QFT)进行了全面分析,量子傅里叶变换是量子计算的基本工具,与经典的快速傅里叶变换(FFT)进行了比较。本研究首先介绍了经典的傅立叶变换,它被广泛应用于不同的学科,如信号和图像处理。本文将QFT作为傅里叶变换的量子版本进行介绍,详细介绍了它如何利用量子并行性和叠加性来降低操作的时间复杂度,并强调了它在量子算法(如用于整数分解的Shor算法)中的关键作用。分析还解决了量子傅立叶变换的数学基础,它在量子电路中的实现,以及与它的使用相关的关键优势和挑战,如测量精度和量子退相干。最后,探讨了量子傅里叶变换在量子计算中的当前和潜在应用。
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引用次数: 0
Symmetry-constrained QCNN for few-shot learning with polylogarithmic generalization bounds 具有多对数泛化界的少镜头学习的对称约束QCNN
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-27 DOI: 10.1007/s11128-026-05071-x
Zijun Guo, Chenhao Huang, Wei Ding, Hongyang Ma

The integration of symmetry into quantum models within geometric quantum machine learning has attracted increasing research attention. In this work, we introduce a symmetry-constrained quantum convolutional neural network framework tailored to few-shot learning in the noisy intermediate-scale quantum (NISQ) setting. By unifying equivariant data embeddings with symmetry-constrained quantum gate sets, our approach compresses the hypothesis space into group-invariant subspaces, enforcing geometric inductive biases that mitigate overfitting. Theoretically, we specialize existing generalization results for parameterized quantum circuits to our symmetry-constrained QCNN architecture and show that, under (T in mathcal {O}(log n)) and (M = textrm{poly}(n)), the resulting bounds exhibit polylogarithmic scaling in the system size. This perspective complements more fine-grained, architecture-specific error decompositions by providing an alternative view that highlights how symmetry and parameter sharing compress the QCNN hypothesis space and influence the scaling behavior of existing theoretical results. To address NISQ hardware constraints, we implement a brick-layer circuit architecture with frequency collision avoidance, ensuring nearest neighbor connectivity and practical feasibility. Numerical simulations on binary MNIST and Fashion-MNIST tasks with additive Gaussian input noise ((sigma = 0.2)) applied to the classical data and a noiseless statevector backend for all quantum models indicate that, for small-to-moderate training sets, the symmetric QCNN can reduce the generalization error by up to (64%) relative to a generic QCNN and by up to (74%) relative to a standard VQC under this input noise model. On the noisy MNIST task, the proposed framework attains up to (93.9%) test accuracy with a stabilized loss around 0.28 in our simulations, while maintaining competitive performance against classical baselines such as SVMs and random forests, suggesting that symmetry-driven dimensionality reduction can improve generalization and robustness to input perturbations in quantum learning. Overall, our work presents a QCNN framework that combines symmetry preservation, generalization analysis based on existing theory, and NISQ-compatible architectural design within a single coherent model, and illustrates how these ingredients can be jointly exploited in geometric quantum machine learning.

在几何量子机器学习中,对称性与量子模型的集成引起了越来越多的研究关注。在这项工作中,我们引入了一个对称约束的量子卷积神经网络框架,该框架专为嘈杂的中等规模量子(NISQ)设置中的少镜头学习而设计。通过将等变数据嵌入与对称约束量子门集统一起来,我们的方法将假设空间压缩到群不变子空间中,从而增强几何归纳偏差,从而减轻过拟合。从理论上讲,我们将现有的参数化量子电路的泛化结果专门化到我们的对称约束QCNN架构中,并表明,在(T in mathcal {O}(log n))和(M = textrm{poly}(n))下,得到的边界在系统大小上表现出多对数缩放。这种观点通过提供另一种观点来补充更细粒度的、特定于体系结构的错误分解,该观点强调了对称性和参数共享如何压缩QCNN假设空间并影响现有理论结果的缩放行为。为了解决NISQ的硬件限制,我们实现了一个避免频率碰撞的砖层电路架构,确保了最近邻连接和实际可行性。对经典数据加性高斯输入噪声((sigma = 0.2))和所有量子模型的无噪声状态向量后端的二元MNIST和style -MNIST任务的数值模拟表明,对于小到中等的训练集,对称QCNN相对于通用QCNN可以减少高达(64%)的泛化误差,相对于该输入噪声模型下的标准VQC可以减少高达(74%)的泛化误差。在有噪声的MNIST任务上,我们提出的框架在模拟中达到(93.9%)测试精度,稳定损失在0.28左右,同时与经典基线(如支持向量机和随机森林)保持竞争性能,这表明对称驱动的降维可以提高量子学习中输入扰动的概化和鲁棒性。总体而言,我们的工作提出了一个QCNN框架,该框架将对称性保持、基于现有理论的泛化分析和nisq兼容的架构设计结合在一个单一的连贯模型中,并说明了如何在几何量子机器学习中共同利用这些成分。
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引用次数: 0
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Quantum Information Processing
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