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Quantum audio neural networks with time-series encoding for audio classification 基于时间序列编码的音频分类量子音频神经网络
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-05 DOI: 10.1007/s11128-025-05027-7
Wanru Dai, Wenxuan Wang, Yuhu Lu, Peng Du, Jinjing Shi

Quantum audio processing is of great significance for artificial intelligence-driven audio recognition technology. To address traditional deep learning methods’ low efficiency and insufficient temporal modeling capabilities in audio data processing, this paper proposes a quantum time-series encoding (QTSE) method and a quantum audio neural network (QANN). The QTSE method leverages entangled qubit sequences to efficiently encode audio data into quantum states while preserving essential features. Building on QTSE, a quantum audio neural network is further developed and applied to audio recognition and classification tasks through quantum circuit parameter optimization. Experimental results on the GTZAN dataset show that the proposed method achieves a classification accuracy of 75% under limited qubit conditions, outperforming traditional amplitude and angle encoding schemes. Furthermore, the proposed QANN architecture is inherently parameter-efficient, utilizing only 33 trainable parameters, a quantity substantially smaller than classical deep learning counterparts typically used for similar audio classification tasks. This research provides a new pathway for building efficient quantum audio processing technology and demonstrates broad application potential in quantum machine learning.

量子音频处理对于人工智能驱动的音频识别技术具有重要意义。针对传统深度学习方法在音频数据处理中效率低、时间建模能力不足的问题,提出了一种量子时间序列编码(QTSE)方法和量子音频神经网络(QANN)方法。QTSE方法利用纠缠量子比特序列有效地将音频数据编码为量子态,同时保留基本特征。在QTSE的基础上,进一步发展了量子音频神经网络,并通过量子电路参数优化将其应用于音频识别和分类任务。在GTZAN数据集上的实验结果表明,在有限量子位条件下,该方法的分类准确率达到75%,优于传统的幅度和角度编码方案。此外,所提出的QANN架构本质上是参数高效的,仅使用33个可训练参数,数量远远小于用于类似音频分类任务的经典深度学习对应参数。本研究为构建高效的量子音频处理技术提供了新的途径,在量子机器学习中具有广阔的应用潜力。
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引用次数: 0
Open harmonic chain without secular approximation 无长期近似的开谐波链
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-03 DOI: 10.1007/s11128-025-05029-5
Melika Babakan, Fabio Benatti, Laleh Memarzadeh

We study particle and energy transport in an open quantum system consisting of a three-harmonic oscillator chain coupled to thermal baths at different temperatures placed at the ends of the chain. We consider the exact dynamics of the open chain and its so-called local and global Markovian approximations. By comparing them, we show that, while all three yield a divergence-like continuity equation for the probability flow, the energy flow exhibits instead a distinct behavior. The exact dynamics and the local one preserve a standard divergence form for the energy transport, whereas the global open dynamics, due to the rotating wave approximation (RWA), introduces non-divergence sink/source terms. These terms also affect the continuity equation in the case of a master equation obtained through a time-coarse-graining method whereby RWA is avoided through a time-zoom parameter (Delta t). In such a scenario, sink and source contributions are always present for each (Delta t>0). While in the limit (Delta trightarrow +infty ) one recovers the global dissipative dynamics, sink and source terms instead vanish when (Delta trightarrow 0), restoring the divergence structure of the exact dynamics. Our results underscore how the choice of the dissipative Markovian approximation to an open system dynamics critically influences the energy transport descriptions, with implications for discriminating among them and thus, ultimately, for the correct modeling of the time-evolution of open quantum many-body systems.

我们研究了一个开放量子系统中的粒子和能量输运,该系统由一个三谐振子链组成,在链的两端放置不同温度的热浴。我们考虑开放链的确切动态及其所谓的局部和全局马尔可夫近似。通过对它们的比较,我们发现,虽然三者都产生了一个类似散度的概率流连续性方程,但能量流却表现出不同的行为。精确动力学和局部动力学保持了能量输运的标准散度形式,而全局开放动力学由于旋转波近似(RWA)而引入了非散度汇源项。在通过时间粗粒度方法获得主方程的情况下,这些项也会影响连续性方程,其中通过时间缩放参数(Delta t)避免了RWA。在这种情况下,接收和源贡献始终存在于每个(Delta t>0)。虽然在极限(Delta trightarrow +infty )中恢复了全局耗散动力学,但当(Delta trightarrow 0)时,汇和源项反而消失,恢复了精确动力学的散度结构。我们的研究结果强调了对开放系统动力学的耗散马尔可夫近似的选择如何对能量输运描述产生关键影响,从而对它们之间的区分产生影响,从而最终对开放量子多体系统的时间演化进行正确建模。
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引用次数: 0
A novel semi-quantum dialogue protocol based on single photons dual degrees of freedom 基于单光子双自由度的新型半量子对话协议
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-01-03 DOI: 10.1007/s11128-025-05023-x
Yun-Hao Feng, Ri-Gui Zhou, Ran Guo

To address the challenge of balancing limited quantum capabilities on the user side with communication efficiency in semi-quantum cryptography, this work introduces polarization and spatial-mode degrees of freedom (PSDF) single photons technology into the semi-quantum dialogue (SQD) framework and proposes a novel SQD protocol. This protocol employs parallel encoding across the dual degrees of freedom (DoFs) of single photons to achieve bidirectional secure communication, requiring only a single round of security verification. As the classical participant, Bob encodes his secret information via (Z_{P} otimes Z_{S}) basis measurements and re-preparation of states, returning quantum sequence to Alice. Alice decodes Bob's message based on her knowledge of the initial states and encodes her own secret information by applying specific unitary operations. In terms of security, the protocol effectively resists various active eavesdropping attacks. Furthermore, it incorporates one-way hash functions and error correction coding mechanisms to enhance robustness in noisy environments. The proposed scheme utilizes PSDF single photons product states as its quantum resource, whose preparation and measurement can be realized with existing mature experimental techniques, ensuring high practical feasibility. This work provides a new perspective for the practical development of semi-quantum communication systems.

为了解决在半量子密码学中平衡用户端有限的量子能力和通信效率的挑战,本研究将极化和空间模自由度(PSDF)单光子技术引入半量子对话(SQD)框架,并提出了一种新的SQD协议。该协议采用跨单光子双自由度(dfs)的并行编码,实现双向安全通信,只需要一轮安全验证。作为经典参与者,Bob通过(Z_{P} otimes Z_{S})基础测量和状态重新准备来编码他的秘密信息,将量子序列返回给Alice。Alice根据她对初始状态的了解解码了Bob的消息,并通过应用特定的单一操作编码了她自己的秘密信息。在安全性方面,该协议能够有效抵御各种主动窃听攻击。此外,它还结合了单向哈希函数和纠错编码机制,以增强在噪声环境中的鲁棒性。本方案利用PSDF单光子产物态作为量子资源,利用现有成熟的实验技术可以实现PSDF单光子产物态的制备和测量,具有较高的实际可行性。这项工作为半量子通信系统的实际发展提供了新的视角。
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引用次数: 0
QMin: Quantum Circuit Minimization via Gate Fusions for Efficient State Vector Simulation 量子电路的最小化通过门融合高效状态矢量模拟
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-12-29 DOI: 10.1007/s11128-025-05028-6
Longshan Xu, Edwin Hsing-Mean Sha, Yuhong Song, Qingfeng Zhuge

State vector simulation is useful for designing and analyzing quantum algorithms. The challenge is that the size of the state vector increases exponentially with the number of quantum bits (qubits) and the entire state vector should be updated when simulating each quantum gate. Gate fusion, a circuit minimization technique, helps reduce simulation time by combining multiple quantum gates into one. However, the gate matrix will be large if the fused gate acts on too many qubits, which may increase the simulation costs. Previous work limits the size of fused gates based on the number of input qubits, but the impact of qubits’ types is neglected. This paper proposes a novel two-stage gate fusion strategy, namely QMin, based on the observation that control input qubits can reduce the simulation cost of a gate, which has not been discussed before. Specifically, QMin designs a pattern-controlled logic gate structure to fuse target gates apart from their control qubits. For the first target-oriented fusion stage, QMin defines beneficial mergeable gate types based on the required multiplication operations. The second tensor-oriented fusion stage merges gates under a constraint on the gate size to further reduce the number of gates. Experimental results on various circuits show that QMin can achieve more than 2.03 times speedup on average in total execution time compared with previous methods.

状态向量模拟对于量子算法的设计和分析是有用的。挑战在于状态向量的大小随着量子比特(量子位)的数量呈指数增长,并且在模拟每个量子门时需要更新整个状态向量。门融合是一种电路最小化技术,通过将多个量子门合并成一个量子门来减少模拟时间。然而,如果融合门作用于太多的量子比特,则门矩阵会很大,这可能会增加模拟成本。以前的工作是根据输入量子比特的数量来限制融合门的大小,但忽略了量子比特类型的影响。本文提出了一种新的两阶段门融合策略,即QMin,该策略基于控制输入量子比特可以降低门的仿真成本,这是以前没有讨论过的。具体来说,QMin设计了一种模式控制的逻辑门结构,将目标门与其控制量子比特分开融合。对于第一个面向目标的融合阶段,QMin根据所需的乘法操作定义了有益的可合并门类型。第二个面向张量的融合阶段在栅极尺寸的约束下合并栅极,以进一步减少栅极的数量。在各种电路上的实验结果表明,QMin在总执行时间上的平均加速速度比以前的方法提高了2.03倍以上。
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引用次数: 0
Photonic quantum information processing using the frequency continuous variable of single photons 利用单光子频率连续变量的光子量子信息处理
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-12-29 DOI: 10.1007/s11128-025-05016-w
Nicolas Fabre, Ulysse Chabaud

The celebrated Hong–Ou–Mandel effect illustrates the richness of two-photon interferometry. In this work, we demonstrate that this extends to the realm of time–frequency interferometry. Taking advantage of the mathematical analogy which can be drawn between the frequency and quadrature degrees of freedom of light when there is a single photon in each auxiliary mode, we consider the equivalent of the Hong–Ou–Mandel effect in the frequency domain. In this setting, the n-Fock state becomes equivalent to a single-photon state with a spectral wave function given by the (n^{th}) Hermite–Gauss function and destructive interference corresponds to vanishing probability of detecting single photons with an order one Hermite–Gauss spectral profile. This compelling analogy motivates us to propose an interferometric strategy that uses a frequency-engineered two-photon state to achieve enhanced phase precision that scales inversely with the number of modes. Finally, we generalize the Gaussian Boson sampling model to time–frequency degrees of freedom of single photons. Through all these applications, we emphasize that distinct types of quantum resources and degrees of freedom can yield identical statistical outcomes and information processing capabilities.

著名的Hong-Ou-Mandel效应说明了双光子干涉测量的丰富性。在这项工作中,我们证明了这延伸到时频干涉测量领域。利用光的频率自由度和正交自由度之间的数学类比,在每个辅助模中都有一个光子时,我们考虑了在频域的等效Hong-Ou-Mandel效应。在这种情况下,n-Fock态等效于具有由(n^{th})给出的光谱波函数的单光子态,而相消干涉对应于具有一阶埃米-高斯光谱轮廓的探测到单光子的消失概率。这种令人信服的类比促使我们提出一种干涉测量策略,该策略使用频率工程双光子状态来实现与模式数量成反比的增强相位精度。最后,我们将高斯玻色子采样模型推广到单光子的时频自由度。通过所有这些应用,我们强调不同类型的量子资源和自由度可以产生相同的统计结果和信息处理能力。
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引用次数: 0
Entanglement evolution of noisy quantum systems: master equation–TFD solutions 噪声量子系统的纠缠演化:主方程- tfd解
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-12-29 DOI: 10.1007/s11128-025-05025-9
Urjjarani Patel, K. V. S. Shiv Chaitanya

In this paper, thermofield dynamics (TFD) is applied to map a quantum optics nonlinear master equation into a Schrödinger-like equation for any arbitrary initial condition. This formalism provides a more efficient way for solving open quantum system problems. Then we use the Hartree–Fock approximation to solve the master equations of two separate noisy quantum systems analytically, which allows us to analyze the entanglement and quantum mutual information in each case using the eigenvalues of a covariance matrix, followed by two-mode and single-mode squeezed states.

本文应用热场动力学(TFD)将量子光学非线性主方程映射为任意初始条件下的Schrödinger-like方程。这种形式为解决开放量子系统问题提供了一种更有效的方法。然后,我们使用Hartree-Fock近似解析求解了两个独立的噪声量子系统的主方程,从而允许我们使用协方差矩阵的特征值,然后是双模和单模压缩态来分析每种情况下的纠缠和量子互信息。
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引用次数: 0
Solving power grid optimization problems with Rydberg atoms 用里德伯原子求解电网优化问题
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-12-26 DOI: 10.1007/s11128-025-05020-0
Nora Bauer, Kübra Yeter-Aydeniz, Elias Kokkas, George Siopsis

The rapid development of neutral atom quantum hardware provides a unique opportunity to design hardware-centered algorithms for solving real-world problems aimed at establishing quantum utility. In this work, we study the performance of two such algorithms on solving MaxCut problem for various weighted graphs. The first method uses a state-of-the-art machine learning tool to optimize the pulse shape and embedding of the graph using an adiabatic Ansatz to find the ground state. We tested the performance of this method on finding maximum power section task of the IEEE 9-bus power system and obtaining MaxCut of randomly generated problems of size up to 12 on QuEra’s Aquila quantum processor. To the best of our knowledge, this work presents the first MaxCut results on Aquila quantum hardware. Our experiments run on Aquila demonstrate that even though the probability of obtaining the solution is reduced, one can still solve the MaxCut problem on cloud-accessed neutral atom analog quantum hardware, with an average 60% overlap for the graphs of 8 to 12 vertices studied. The second method uses local detuning, which is an emergent update on the Aquila hardware, to obtain a near exact realization of the standard QAOA Ansatz with similar performance. Finally, we study the fidelity throughout the time evolution realized in the adiabatic method as a benchmark for the IEEE 9-bus power grid graph state.

中性原子量子硬件的快速发展为设计以硬件为中心的算法来解决旨在建立量子效用的现实问题提供了独特的机会。在这项工作中,我们研究了两种这样的算法在解决各种加权图的MaxCut问题上的性能。第一种方法使用最先进的机器学习工具来优化脉冲形状,并使用绝热Ansatz来找到基态。我们在QuEra的Aquila量子处理器上测试了该方法在寻找IEEE 9总线电源系统的最大功率部分任务和获得最大12个随机生成问题的MaxCut的性能。据我们所知,这项工作展示了Aquila量子硬件上的第一个MaxCut结果。我们在Aquila上运行的实验表明,尽管获得解决方案的概率降低了,但仍然可以在云访问的中性原子模拟量子硬件上解决MaxCut问题,所研究的8到12个顶点的图平均有60%的重叠。第二种方法使用本地失谐,这是Aquila硬件上的紧急更新,以获得具有类似性能的标准QAOA Ansatz的近乎精确的实现。最后,我们研究了以绝热方法实现的整个时间演化的保真度,作为IEEE 9总线电网图状态的基准。
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引用次数: 0
Absolute zeta functions for zeta functions of quantum walks 量子行走的绝对ζ函数
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-12-26 DOI: 10.1007/s11128-025-05018-8
Jirô Akahori, Norio Konno, Rikuki Okamoto, Iwao Sato

This paper presents a connection between the quantum walk and the absolute mathematics. The quantum walk is a quantum counterpart of the classical random walk. We especially deal with the Grover walk on the graph, which is a typical model of quantum walks. The time evolution of the Grover walk is obtained by a unitary matrix called the Grover matrix. We define a new type of the zeta function determined by the Grover matrix. Then, we consider to construct the absolute zeta function. In the previous paper [10], it is pointed out that there is a relationship between quantum walk and absolute zeta function. In the first half of this paper, we briefly describe the results of the previous research. In the latter part, we compute the absolute zeta function of the quantum walk by two different methods. One is calculated by the cyclotomic polynomial. The other is based on the series expansion. Its explicit derivation can be extended to a broader class of quantum walks on graphs.

本文提出了量子行走与绝对数学之间的联系。量子行走是经典随机行走的量子对应物。我们特别讨论了图上的格罗弗行走,它是量子行走的一个典型模型。格罗弗行走的时间演化由一个称为格罗弗矩阵的酉矩阵得到。我们定义了一种新的由Grover矩阵决定的zeta函数。然后,我们考虑构造绝对zeta函数。在前人的论文[10]中指出了量子行走与绝对zeta函数之间的关系。在本文的前半部分,我们简要描述了之前的研究结果。在第二部分,我们用两种不同的方法计算量子行走的绝对zeta函数。一个是由分环多项式计算的。另一种是基于级数展开。它的显式推导可以推广到更广泛的图上的量子行走。
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引用次数: 0
Quantum collision attacks on reduced SHA-256. 减少SHA-256的量子碰撞攻击。
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-12-23 DOI: 10.1007/s11128-025-05024-w
Bao-Min Zhou, Hong-Wei Sun, Xue Zhang, Ke-Jia Zhang, Long Zhang

SHA-256 exhibits strong resistance to collision attacks, a property attributed to its intricate design. Recently, Li et al. proposed a novel semi-free-start (SFS) collision attack targeting 39-step SHA-256, advancing prior methodologies. Despite these advancements, increasing the number of attackable rounds for SHA-256 remains challenging. This study demonstrates the conversion of a semi-free-start collision into a full collision attack through a specialized quantum technique. Using a quantum approach, our method targets 39-round SHA-256, leveraging frameworks that transform SFS collisions into two-block collisions, thereby establishing a new benchmark for collision attacks.

The quantum analysis method proposed in this paper achieves a circuit depth of (T_F le 3.4) and a circuit width of (S_F le 2.4). With a quantum computer of size S, this attack achieves a collision within time (t = 2^{124}/sqrt{S}). The attack is effective when the quantum computer size satisfies (2.4 le S < 2^8). Furthermore, this study investigates the conditions required to transform a semi-free-start collision into a two-block collision. It also examines the conversion of semi-free-start or free-start collision attacks into two-block collisions across various hash functions. The results indicate that the unique properties of quantum computing establish new benchmarks for collision attacks on hash functions.

SHA-256具有很强的抗碰撞攻击能力,这一特性归因于其复杂的设计。最近,Li等人提出了一种针对39步SHA-256的新颖的半自由启动(SFS)碰撞攻击,改进了先前的方法。尽管取得了这些进步,但增加SHA-256可攻击回合的数量仍然具有挑战性。本研究演示了通过专门的量子技术将半自由启动碰撞转化为全面碰撞攻击。使用量子方法,我们的方法针对39轮SHA-256,利用将SFS碰撞转换为两块碰撞的框架,从而建立碰撞攻击的新基准。本文提出的量子分析方法实现了电路深度(T_F le 3.4)和电路宽度(S_F le 2.4)。对于大小为S的量子计算机,这种攻击可以在时间(t = 2^{124}/sqrt{S})内实现碰撞。当量子计算机的大小满足(2.4 le S < 2^8)时,攻击是有效的。此外,本研究还探讨了将半自由起动碰撞转化为两挡碰撞所需的条件。它还检查了将半自由启动或自由启动冲突攻击转换为跨各种散列函数的两块冲突。结果表明,量子计算的独特属性为哈希函数的碰撞攻击建立了新的基准。
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引用次数: 0
Asymmetric quad-directional controlled quantum teleportation in noisy environment 噪声环境下的非对称四向控制量子隐形传态
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2025-12-22 DOI: 10.1007/s11128-025-04981-6
Simranjot Kaur, Savita Gill

This paper introduces a theoretical framework for asymmetric quad-directional controlled quantum teleportation (AQDCQT), offering a novel approach to simultaneous quantum state transmission among four users. In this protocol, any of the four users can concurrently transmit their entangled state to others, facilitated by a supervisory controller, utilizing a network of 29 qubits as the quantum channel. Quad-directional teleportation enables all four users to act simultaneously as both sender and receiver. Using the IBM Quantum platform, the quantum channel is implemented in practice. The protocol leverages Bell state measurement (BSM), GHZ state measurement (GHZ), and single-qubit measurement (SQM) for efficient quantum state teleportation. Regarding security, we address communication security measures against two potential attacks. The comparative analysis demonstrates the superior intrinsic efficiency of the proposed scheme when compared to previous approaches. Furthermore, we examine the impact of environmental noise on the channel, revealing that the protocol’s fidelity is influenced by the initial state's amplitude coefficient and the noise intensity.

本文介绍了一种非对称四方向控制量子隐形传态(AQDCQT)的理论框架,提供了一种在四个用户之间同时传输量子态的新方法。在该协议中,四个用户中的任何一个都可以同时将其纠缠态传输给其他用户,利用一个29量子位的网络作为量子信道。四方向隐形传态使所有四个用户同时作为发送者和接收者。利用IBM Quantum平台,在实际中实现了量子信道。该协议利用贝尔状态测量(BSM)、GHZ状态测量(GHZ)和单量子位测量(SQM)来实现高效的量子态隐形传态。在安全方面,我们将针对两种潜在攻击采取通信安全措施。对比分析表明,与以往的方法相比,该方案具有更高的内在效率。此外,我们研究了环境噪声对信道的影响,揭示了协议的保真度受到初始状态振幅系数和噪声强度的影响。
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引用次数: 0
期刊
Quantum Information Processing
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