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Efficient preparation method for arbitrary multiqubit states based on quantum walk 基于量子行走的任意多量子位态的有效制备方法
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-10-21 DOI: 10.1007/s11128-025-04957-6
Dan Li, Lei Zhong

Quantum state preparation is a fundamental task in quantum information science with wide applications in computing, communication, and precision measurement. This work proposes three quantum state preparation schemes based on quantum walk with position–time-dependent coin operators. Scheme 1 enables the preparation of arbitrary high-dimensional quantum states, while scheme 2 targets a specific class of states with significantly lower resource costs. Building on these, we propose the scheme 3 that combines the universality of scheme 1 and the efficiency of scheme 2, forming the core contribution of this paper. We demonstrate the effectiveness of these schemes through examples and quantum circuit implementations. The coin operations can be realized with depth (O(frac{2^n}{n})) and size (O(2^n)), which can be further reduced to O(kn) when only a few positions require nontrivial operations. Shift operations can be implemented with constant depth. In general, the circuit complexity for all three schemes is (O(2^{n})). However, for spare states, scheme 2 and scheme 3 can reduce the circuit complexity to (O(kn^{2})). This framework provides an efficient and scalable approach to quantum state preparation, with potential applications in quantum algorithms and beyond.

量子态制备是量子信息科学的一项基础性工作,在计算、通信和精密测量等领域有着广泛的应用。本文提出了三种基于位置时变硬币算子的量子行走量子态制备方案。方案1可以制备任意高维量子态,而方案2则针对特定类型的态,且资源成本显著降低。在此基础上,我们提出了方案3,它结合了方案1的通用性和方案2的高效性,构成了本文的核心贡献。我们通过实例和量子电路实现证明了这些方案的有效性。硬币操作可以实现深度(O(frac{2^n}{n}))和大小(O(2^n)),当只有少数位置需要非平凡操作时,可以进一步减少到O(kn)。移位操作可以在固定深度下实现。一般来说,这三种方案的电路复杂度为(O(2^{n}))。然而,对于备用状态,方案2和方案3可以将电路复杂度降低到(O(kn^{2}))。该框架为量子态制备提供了一种高效且可扩展的方法,在量子算法及其他领域具有潜在的应用前景。
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引用次数: 0
Application of GRS codes to some optiaml quantum convolutional codes GRS码在一些最优量子卷积码中的应用
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-10-17 DOI: 10.1007/s11128-025-04963-8
Guohui Wang, Chunming Tang

Quantum convolutional codes are an important extension of quantum error correction codes theory compared with quantum block codes. In this paper, we first construct some Hermitian self-orthogonal GRS codes and extended GRS codes. Based on these MDS codes, we propose several new classes of MDS quantum convolutional codes. It is worth noting that some optimal quantum convolutional codes with new parameters can be generated by our construction methods.

量子卷积码是量子纠错码理论相对于量子分组码的重要扩展。本文首先构造了一些厄密自正交GRS码和扩展GRS码。基于这些MDS码,我们提出了几种新的MDS量子卷积码。值得注意的是,我们的构造方法可以生成一些具有新参数的最优量子卷积码。
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引用次数: 0
QC-Net: a hybrid quantum-classical neural network model for medical image segmentation QC-Net:用于医学图像分割的混合量子-经典神经网络模型
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-10-17 DOI: 10.1007/s11128-025-04955-8
Aijuan Wang, Xiangqi Li, Lusi Li, Tiehu Li

The U-Net architecture is widely recognized as one of the most prominent models for medical image segmentation, comprising an encoder and a decoder. The encoder is crucial for extracting image features to enhance segmentation accuracy, typically incorporating convolutional and pooling layers. However, standard encoder structures often miss some classical features and struggle to extract high-level features effectively. In this paper, a hybrid quantum-classical neural network (QC-Net) model with a novel encoder is proposed, aiming to capture more representative features. Our encoder features a residual convolutional block (RCB) to primarily extract some missed features, and then, efficient channel attention (ECA) is employed into the output feature maps after the RCB and pooling operations to handle more complex and noisy information. Consequently, a two-qubit parameterized circuit is devised to capture the final output features of the encoder, aiming to further capture the hidden high-level features from the quantum dimension. The decoder incorporates a joint attention mechanism and deconvolution operations to recover the spatial resolution and detail information of the original input image. To validate its efficacy, we conduct skin lesion segmentation experiments utilizing the ISIC2018 dataset. Notably, our QC-Net model outperforms both U-Net and CA-Net, achieving an average Dice coefficient of 93.2%, indicating improvements of 5.43% and 1.12%, respectively. These results underscore the outstanding performance of our proposed QC-Net model.

U-Net架构被广泛认为是医学图像分割中最突出的模型之一,它包括一个编码器和一个解码器。编码器是提取图像特征以提高分割精度的关键,通常包含卷积层和池化层。然而,标准的编码器结构常常遗漏一些经典特征,难以有效地提取高级特征。本文提出了一种带有新型编码器的混合量子-经典神经网络(QC-Net)模型,旨在捕获更多具有代表性的特征。我们的编码器采用残差卷积块(RCB)来主要提取一些缺失的特征,然后在残差卷积块和池化操作之后,在输出的特征映射中使用有效的通道注意(ECA)来处理更复杂和有噪声的信息。因此,设计了一个双量子位参数化电路来捕获编码器的最终输出特征,旨在进一步从量子维度捕获隐藏的高级特征。该解码器采用联合注意机制和反卷积运算来恢复原始输入图像的空间分辨率和细节信息。为了验证其有效性,我们利用ISIC2018数据集进行了皮肤病变分割实验。值得注意的是,我们的QC-Net模型优于U-Net和CA-Net,平均Dice系数达到93.2%,分别提高了5.43%和1.12%。这些结果强调了我们提出的QC-Net模型的出色性能。
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引用次数: 0
Two- and three-mode squeezing in a three-qubit entangled system 三量子位纠缠系统中的二模和三模压缩
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-10-15 DOI: 10.1007/s11128-025-04940-1
Joanna K. Kalaga, Jan Peřina Jr.

The states of a three-mode bosonic system with the restricted Hilbert space are discussed in the context of quantum entanglement and squeezing of quantum fluctuations. The states exhibiting nonzero tripartite entanglement are considered. Mutual relations between the two- and three-mode entanglement quantified by the corresponding negativities and the squeezing described by the corresponding principal squeeze variances are revealed. Entangled three-qubit states exhibiting squeezing are identified.

在量子纠缠和量子涨落压缩的背景下,讨论了具有受限希尔伯特空间的三模玻色子系统的态。考虑了非零三方纠缠态。揭示了由相应的负量量化的二模和三模纠缠与由相应的主压缩方差描述的压缩之间的相互关系。确定了表现出挤压的纠缠三量子位态。
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引用次数: 0
SAT, gadgets, Max2XOR, and quantum annealers SAT,小工具,Max2XOR和量子退火炉
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-10-15 DOI: 10.1007/s11128-025-04948-7
Carlos Ansótegui, Jordi Levy

Quantum annealers are presented as quantum computers that can, with a high probability, optimize certain quadratic functions on Boolean variables in constant time. These functions are basically the Hamiltonian of Ising models that reach the ground energy state with a high probability after an annealing process. In some preliminary works, they have been proposed as a way to solve SAT. These Hamiltonians can be seen as Max2XOR problems, i.e., as the problem of finding an assignment that maximizes the number of XOR clauses of at most two variables that are satisfied. In this paper, we focus on introducing several gadgets to reduce SAT to Max2XOR. We show how they can be used to translate SAT instances to initial configurations of a quantum annealer.

量子退火器是一种量子计算机,它可以在常数时间内以高概率优化布尔变量上的某些二次函数。这些函数基本上是伊辛模型的哈密顿量,经过退火过程后,高概率达到基能态。在一些初步的工作中,它们已经被提出作为解决SAT的一种方法。这些哈密顿矩阵可以被看作是Max2XOR问题,也就是说,作为寻找一个分配的问题,该分配使最多两个变量的XOR子句的数量最大化。在本文中,我们重点介绍了几种将SAT降低到Max2XOR的小工具。我们展示了如何使用它们将SAT实例转换为量子退火炉的初始配置。
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引用次数: 0
Realization of arbitrary unitary operations using discrete-time quantum walks 用离散时间量子行走实现任意酉运算
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-10-15 DOI: 10.1007/s11128-025-04959-4
Yongqi Han, Ying Zhou, Kunkun Wang

The ability to implement arbitrary unitary operations is essential for quantum information processing, since the evolution of closed quantum systems is governed by unitary dynamics. Conventional methods typically approximate the target evolution by optimizing sequences of fixed single- and two-qubit gates, which often leads to deep circuits and the accumulation of approximation errors. Here, we propose an exact and analytical method for implementing arbitrary unitary operations using discrete-time quantum walks. Specifically, an arbitrary N-dimensional unitary operation U(N) is constructed through a sequence of position-dependent U(2) coin operations and conditional shift operators, requiring only N steps (or (N+1) for odd dimensions) for exact realization. We further present a feasible photonic implementation, where coin and position states are encoded in the polarization and spatial modes of single photons. Numerical simulations confirm the scalability and noise resilience of the approach, demonstrating its advantages for realization of arbitrary unitary operations. Our results thus provide a practical route to realizing arbitrary unitary transformations with reduced resource requirements and enhanced robustness against optical losses and phase instability.

实现任意幺正运算的能力对于量子信息处理至关重要,因为封闭量子系统的演化是由幺正动力学控制的。传统方法通常通过优化固定的单量子比特和双量子比特门序列来近似目标进化,这往往导致深度电路和近似误差的积累。在这里,我们提出了一种精确的、解析的方法来实现使用离散时间量子行走的任意酉操作。具体地说,任意的N维一元操作U(N)是通过位置相关的U(2)个硬币操作和条件移位操作的序列来构造的,精确实现只需要N步(对于奇数维,或(N+1))。我们进一步提出了一种可行的光子实现,其中硬币和位置状态在单光子的偏振和空间模式中编码。数值仿真验证了该方法的可扩展性和抗噪声能力,证明了该方法在实现任意幺正运算方面的优势。因此,我们的研究结果为实现任意幺正变换提供了一条实用的途径,减少了资源需求,增强了对光学损耗和相位不稳定性的鲁棒性。
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引用次数: 0
Four-qubit CHSH game 四量子位CHSH游戏
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-10-14 DOI: 10.1007/s11128-025-04939-8
Joaquim Jusseau, Hamza Jaffali, Frédéric Holweck

In this paper, the CHSH quantum game is extended to four players. This is achieved by exploring all possible 4-variable Boolean functions to identify those that yield a game scenario with a quantum advantage using a specific entangled state. Notably, two new four-player quantum games are presented. In one game, the optimal quantum strategy is achieved when players share a (vert {GHZ_4} rangle =dfrac{1}{sqrt{2}}(vert {0000} rangle +vert {1111} rangle )) state, breaking the traditional 10% gain observed in 2- and 3-qubit CHSH games and achieving a 22.5% gap. In the other game, players gain a greater advantage using a (vert {W_4} rangle =dfrac{1}{2}(vert {0001} rangle +vert {0010} rangle +vert {0100} rangle +vert {1000} rangle )) state as their quantum resource. Quantum games with other four-qubit entangled states are also explored. To demonstrate the results, these game scenarios are implemented on an online quantum computer, and the advantage of the respective quantum resource for each game is experimentally verified.

本文将CHSH量子博弈推广到四人博弈。这是通过探索所有可能的4变量布尔函数来识别那些使用特定纠缠态产生具有量子优势的游戏场景来实现的。值得注意的是,提出了两个新的四人量子游戏。在一个游戏中,当玩家共享(vert {GHZ_4} rangle =dfrac{1}{sqrt{2}}(vert {0000} rangle +vert {1111} rangle ))状态时,达到最佳量子策略,打破了传统的10% gain observed in 2- and 3-qubit CHSH games and achieving a 22.5% gap. In the other game, players gain a greater advantage using a (vert {W_4} rangle =dfrac{1}{2}(vert {0001} rangle +vert {0010} rangle +vert {0100} rangle +vert {1000} rangle )) state as their quantum resource. Quantum games with other four-qubit entangled states are also explored. To demonstrate the results, these game scenarios are implemented on an online quantum computer, and the advantage of the respective quantum resource for each game is experimentally verified.
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引用次数: 0
The cyclic semi-quantum identity authentication protocol based on single photon 基于单光子的循环半量子身份认证协议
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-10-13 DOI: 10.1007/s11128-025-04953-w
Jing Li, Congcong Wang, Xianmin Wang

Authentication is a crucial service for securing communication, ensuring the authenticity of the parties by verifying their identities. With the rapid development of quantum computing, traditional quantum two-party authentication protocols are more likely to allow eavesdropper attacks to succeed, mainly because they rely solely on the security of the quantum channel and the integrity of the pre-shared key. This study presents a new identity authentication scheme based on single-photon semi-quantum authentication. Unlike traditional tree structures, the scheme adopts a structure and introduces a trusted third party, who holds the keys of all participants. Participants encrypt information from the third party using their own keys combined with bubble operations, and the third party decrypts it to complete the authentication process. This scheme supports authentication for n participants, improves efficiency by simplifying the process, and leverages the unique properties of single-photon technology to protect semi-quantum key distribution and secret sharing. Compared to existing schemes, our scheme offers higher security against simulation, man-in-the-middle, and eavesdropping attacks. Additionally, as it does not rely on complex quantum technologies, it required minimal quantum resources and reduced participant capabilities, enhancing its practical implement ability.

身份验证是确保通信安全的关键服务,通过验证各方的身份来确保其真实性。随着量子计算的快速发展,传统的量子两方认证协议更容易允许窃听者攻击成功,这主要是因为它们仅仅依赖于量子通道的安全性和预共享密钥的完整性。提出了一种新的基于单光子半量子身份认证的身份认证方案。与传统的树型结构不同,该方案采用了一种结构,引入了一个可信的第三方,该第三方持有所有参与者的密钥。参与者使用自己的密钥结合冒泡操作对来自第三方的信息进行加密,第三方对其进行解密,完成身份验证过程。该方案支持n个参与者的身份验证,通过简化过程来提高效率,并利用单光子技术的独特特性来保护半量子密钥分发和秘密共享。与现有方案相比,我们的方案具有更高的安全性,可以抵御模拟攻击、中间人攻击和窃听攻击。此外,由于不依赖复杂的量子技术,它所需的量子资源最少,参与者能力降低,增强了它的实际实现能力。
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引用次数: 0
Ground-state energy of He atom using a four-qubit photonic processor with the variational quantum eigensolver 用四量子位光子处理器和变分量子特征解算器计算He原子的基态能量
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-10-13 DOI: 10.1007/s11128-025-04960-x
Badie Ghavami, Forouzan Mirmasoudi

To understand the properties and interactions of materials, determining the ground-state energies is one of the important challenges in quantum chemistry, materials science, and quantum mechanics, where quantum computing can play an important role for studying the properties of materials. In this study, we have explored the quantum processor application to compute the He atom ground-state energy which utilizes the Variational Quantum Eigensolver (VQE) algorithm. In here, we have developed and tested a VQE algorithm tailored for a photonic quantum processor, optimizing a parameterized quantum circuit to minimize the energy expectation value of the He atom’s Hamiltonian on the four-qubit processor by using the Qiskit Aer simulator. The obtained results of this work show a significant improvement in accuracy compared to classical computational methods, such as Hartree–Fock and density functional theory, which demonstrate the compute potential of quantum algorithms in quantum many-body problems. Thus, these results demonstrate the advantages of quantum computing in achieving high accuracy in simulations of molecular and material properties and pave the way for future applications in more complex systems. This work highlights the potential of quantum processors in the fields of quantum chemistry, computational physics, and data science.

为了了解材料的性质和相互作用,确定基态能量是量子化学、材料科学和量子力学的重要挑战之一,量子计算在研究材料的性质方面可以发挥重要作用。在本研究中,我们探索了利用变分量子特征解算器(VQE)算法计算He原子基态能量的量子处理器应用。在这里,我们开发并测试了一种为光子量子处理器量身定制的VQE算法,通过使用Qiskit Aer模拟器优化参数化量子电路,以最小化He原子在四量子比特处理器上的哈密顿量的能量期望值。所得结果表明,与经典计算方法(如Hartree-Fock理论和密度泛函理论)相比,量子算法在量子多体问题中的计算潜力有了显著提高。因此,这些结果证明了量子计算在实现分子和材料特性模拟的高精度方面的优势,并为未来在更复杂系统中的应用铺平了道路。这项工作突出了量子处理器在量子化学、计算物理和数据科学领域的潜力。
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引用次数: 0
Satellite-based multi-user quantum conference key agreement 基于卫星的多用户量子会议密钥协议
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-10-09 DOI: 10.1007/s11128-025-04956-7
Haoyang Wang, Qiang Zeng, Haiqiang Ma

Quantum communication is evolving as the next generation of secret sharing technology. Compared to the rapid development in bipartite quantum communications, multipartite quantum network still awaits significant improvements in transmission distances, covering areas, and number of users. Current fiber-based quantum networks are challenged by preparing multi-particle entangled states and the high loss of fiber links. Inspired by the source-independent quantum conference key agreement based on Bell states and the satellite-to-ground transmission links, we proposed two satellite-based quantum network architectures, including up-links and down-links. The simulated key rates are maintained when the number of users increases for both two proposed architectures. The down-link architecture ensures a secure key rate exceeding (10^{-7}) bit/pulse even over a distance of 1000 km. Our work offers viable solutions and quantitative references toward realizing scalable satellite-based secure quantum communication networks.

量子通信作为下一代秘密共享技术正在发展。与二部量子通信的快速发展相比,多部量子网络在传输距离、覆盖面积、用户数量等方面仍有待显著提高。目前基于光纤的量子网络面临着制备多粒子纠缠态和光纤链路高损耗的挑战。受基于贝尔状态的源无关量子会议密钥协议和星地传输链路的启发,我们提出了两种基于卫星的量子网络架构,包括上行链路和下行链路。当两种架构的用户数量增加时,模拟的密钥速率保持不变。下行链路架构确保安全密钥速率超过(10^{-7})位/脉冲,即使在1000公里的距离。我们的工作为实现可扩展的基于卫星的安全量子通信网络提供了可行的解决方案和定量参考。
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引用次数: 0
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Quantum Information Processing
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