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Benchmarking Quantum Machine Learning Kernel Training for Classification Tasks 分类任务的量子机器学习核训练基准测试
Pub Date : 2025-02-13 DOI: 10.1109/TQE.2025.3541882
Diego Alvarez-Estevez
Quantum-enhanced machine learning is a rapidly evolving field that aims to leverage the unique properties of quantum mechanics to enhance classical machine learning. However, the practical applicability of these methods remains an open question, particularly beyond the context of specifically crafted toy problems, and given the current limitations of quantum hardware. This study focuses on quantum kernel methods in the context of classification tasks. In particular, it examines the performance of quantum kernel estimation and quantum kernel training (QKT) in connection with two quantum feature mappings, namely, ZZFeatureMap and CovariantFeatureMap. Remarkably, these feature maps have been proposed in the literature under the conjecture of possible near-term quantum advantage and have shown promising performance in ad hoc datasets. This study aims to evaluate their versatility and generalization capabilities in a more general benchmark, encompassing both artificial and established reference datasets. Classical machine learning methods, specifically support vector machines and logistic regression, are also incorporated as baseline comparisons. Experimental results indicate that quantum methods exhibit varying performance across different datasets. Despite outperforming classical methods in ad hoc datasets, mixed results are obtained for the general case among standard classical benchmarks. The experimental data call into question a general added value of applying QKT optimization, for which the additional computational cost does not necessarily translate into improved classification performance. Instead, it is suggested that a careful choice of the quantum feature map in connection with proper hyperparameterization may prove more effective.
量子增强机器学习是一个快速发展的领域,旨在利用量子力学的独特特性来增强经典机器学习。然而,这些方法的实际适用性仍然是一个悬而未决的问题,特别是在特别制作的玩具问题的背景下,并且考虑到当前量子硬件的局限性。本研究的重点是分类任务背景下的量子核方法。特别地,它研究了量子核估计和量子核训练(QKT)与两个量子特征映射(即ZZFeatureMap和CovariantFeatureMap)的性能。值得注意的是,这些特征映射是在可能的近期量子优势的假设下在文献中提出的,并且在特定数据集中显示出有希望的性能。本研究旨在评估其通用性和泛化能力在更一般的基准,包括人工和建立的参考数据集。经典的机器学习方法,特别是支持向量机和逻辑回归,也被纳入基线比较。实验结果表明,量子方法在不同的数据集上表现出不同的性能。尽管在特殊数据集中优于经典方法,但在标准经典基准的一般情况下获得了混合结果。实验数据对应用QKT优化的一般附加价值提出了质疑,因为额外的计算成本并不一定转化为改进的分类性能。相反,建议仔细选择与适当的超参数化相关的量子特征映射可能会证明更有效。
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引用次数: 0
Entanglement Routing in Quantum Networks: A Comprehensive Survey 量子网络中的纠缠路由:综述
Pub Date : 2025-02-11 DOI: 10.1109/TQE.2025.3541123
Amar Abane;Michael Cubeddu;Van Sy Mai;Abdella Battou
Entanglement routing in near-term quantum networks consists of choosing the optimal sequence of short-range entanglements to combine through swapping operations to establish end-to-end entanglement between two distant nodes. Similar to traditional routing technologies, a quantum routing protocol uses network information to choose the best paths to satisfy a set of end-to-end entanglement requests. However, in addition to network state information, a quantum routing protocol must also take into account the requested entanglement fidelity, the probabilistic nature of swapping operations, and the short lifetime of entangled states. In this work, we formulate a practical entanglement routing problem and analyze and categorize the main approaches to address it, drawing comparisons to, and inspiration from, classical network routing strategies where applicable. We classify and discuss the studied quantum routing schemes into reactive, proactive, and hybrid routing.
近距离量子网络中的纠缠路由是选择最优的短程纠缠序列,通过交换操作将其组合在一起,从而在两个相距较远的节点之间建立端到端纠缠。与传统路由技术类似,量子路由协议利用网络信息选择最佳路径来满足一组端到端纠缠请求。然而,除了网络状态信息外,量子路由协议还必须考虑所要求的纠缠保真度、交换操作的概率性质以及纠缠状态的短寿命。在这项工作中,我们制定了一个实际的纠缠路由问题,并分析和分类了解决该问题的主要方法,并在适用的情况下与经典网络路由策略进行了比较和借鉴。我们将研究的量子路由方案分为被动路由、主动路由和混合路由。
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引用次数: 0
Engineering Quantum Error Correction Codes Using Evolutionary Algorithms 使用进化算法的工程量子纠错码
Pub Date : 2025-02-05 DOI: 10.1109/TQE.2025.3538934
Mark A. Webster;Dan E. Browne
Quantum error correction and the use of quantum error correction codes are likely to be essential for the realization of practical quantum computing. Because the error models of quantum devices vary widely, quantum codes that are tailored for a particular error model may have much better performance. In this work, we present a novel evolutionary algorithm that searches for an optimal stabilizer code for a given error model, number of physical qubits, and number of encoded qubits. We demonstrate an efficient representation of stabilizer codes as binary strings, which allows for random generation of valid stabilizer codes as well as mutation and crossing of codes. Our algorithm finds stabilizer codes whose distance closely matches the best-known-distance codes of Grassl (2007) for $n leq 20$ physical qubits. We perform a search for optimal distance Calderbank–Steane–Shor codes and compare their distance to the best known codes. Finally, we show that the algorithm can be used to optimize stabilizer codes for biased error models, demonstrating a significant improvement in the undetectable error rate for $[[12,1]]_{2}$ codes versus the best-known-distance code with the same parameters. As part of this work, we also introduce an evolutionary algorithm QDistEvol for finding the distance of quantum error correction codes.
量子纠错和量子纠错码的使用可能是实现实际量子计算所必需的。由于量子器件的误差模型差异很大,针对特定误差模型量身定制的量子代码可能具有更好的性能。在这项工作中,我们提出了一种新的进化算法,该算法为给定的错误模型、物理量子比特数和编码量子比特数搜索最佳稳定器代码。我们证明了稳定码的有效表示为二进制字符串,它允许随机生成有效的稳定码以及代码的突变和交叉。我们的算法找到了稳定器代码,其距离与grasl(2007)对$n leq 20$物理量子位的最著名的距离代码非常匹配。我们搜索了距离最优的Calderbank-Steane-Shor码,并将其与已知码的距离进行了比较。最后,我们证明了该算法可用于优化有偏差误差模型的稳定器代码,证明了与具有相同参数的已知距离代码相比,$[[12,1]]_{2}$代码的不可检测错误率有显着改善。作为这项工作的一部分,我们还引入了一种进化算法QDistEvol,用于寻找量子纠错码的距离。
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引用次数: 0
Security and Fairness in Multiparty Quantum Secret Sharing Protocol 多方量子秘密共享协议的安全性与公平性
Pub Date : 2025-01-29 DOI: 10.1109/TQE.2025.3535823
Alessio Di Santo;Walter Tiberti;Dajana Cassioli
Quantum secret sharing (QSS) is a cryptographic protocol that leverages quantum mechanics to distribute a secret among multiple parties. With respect to the classical counterpart, in QSS, the secret is encoded into quantum states and shared by a dealer such that only an authorized subsets of participants, i.e., the players, can reconstruct it. Several state-of-the-art studies aim to transpose classical secret sharing into the quantum realm, while maintaining their reliance on traditional network topologies (e.g., star, ring, and fully connected), and require that all the $n$ players calculate the secret. These studies exploit the Greenberger–Horne–Zeilinger state, which is a type of maximally entangled quantum state involving three or more qubits. However, none of these works account for redundancy, enhanced security/privacy features, or authentication mechanisms able to fingerprint players. To address these gaps, in this article, we introduce a new concept of QSS, which leans on a generic distributed quantum network, based on a threshold scheme, where all the players collaborate also to the routing of quantum information among them. The dealer, by exploiting a custom flexible weighting system, takes advantage of a newly defined quantum Dijkstra algorithm to select the most suitable subset of $t$ players, out of the entire set on $n$ players, to involve in the computation. To fingerprint and authenticate users, CRYSTAL-Kyber primitives are adopted, while also protecting each player’s privacy by hiding their identities. We show the effectiveness and performance of the proposed protocol by testing it against the main classical and quantum attacks, thereby improving the state-of-the-art security measures.
量子秘密共享(QSS)是一种利用量子力学在多方之间分发秘密的加密协议。相对于经典的对等体,在QSS中,秘密被编码成量子态并由经销商共享,这样只有参与者的授权子集(即玩家)才能重建它。一些最先进的研究旨在将经典的秘密共享转移到量子领域,同时保持对传统网络拓扑(例如,星型,环型和全连接)的依赖,并要求所有$n$参与者计算秘密。这些研究利用了greenberger - horn - zeilinger态,这是一种涉及三个或更多量子比特的最大纠缠量子态。然而,这些工作都没有考虑到冗余、增强的安全/隐私功能或能够指纹玩家的身份验证机制。为了解决这些差距,在本文中,我们引入了一个新的QSS概念,它依赖于一个基于阈值方案的通用分布式量子网络,其中所有参与者也协作以实现量子信息在它们之间的路由。发牌方利用自定义的灵活加权系统,利用新定义的量子Dijkstra算法,从$n$玩家的整个集合中选择$t$玩家中最合适的子集,以参与计算。为了指纹和认证用户,采用了CRYSTAL-Kyber原语,同时也通过隐藏他们的身份来保护每个玩家的隐私。我们通过对主要的经典攻击和量子攻击进行测试来展示所提出协议的有效性和性能,从而改进了最先进的安全措施。
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引用次数: 0
2024 Index IEEE Transactions on Quantum Engineering Vol. 5 IEEE量子工程学报第5卷
Pub Date : 2025-01-28 DOI: 10.1109/TQE.2025.3535319
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引用次数: 0
Variational Quantum Algorithms for Differential Equations on a Noisy Quantum Computer 噪声量子计算机上微分方程的变分量子算法
Pub Date : 2025-01-20 DOI: 10.1109/TQE.2025.3532017
Niclas Schillo;Andreas Sturm
The role of differential equations (DEs) in science and engineering is of paramount importance, as they provide the mathematical framework for a multitude of natural phenomena. Since quantum computers promise significant advantages over classical computers, quantum algorithms for the solution of DEs have received a lot of attention. Particularly interesting are algorithms that offer advantages in the current noisy intermediate-scale quantum (NISQ) era, characterized by small and error-prone systems. We consider a framework of variational quantum algorithms, quantum circuit learning (QCL), in conjunction with derivation methods, in particular the parameter shift rule, to solve DEs. As these algorithms were specifically designed for NISQ computers, we analyze their applicability on NISQ devices by implementing QCL on an IBM quantum computer. Our analysis of QCL without the parameter shift rule shows that we can successfully learn different functions with three-qubit circuits. However, the hardware errors accumulate with increasing number of qubits, and thus, only a fraction of the qubits available on the current quantum systems can be effectively used. We further show that it is possible to determine derivatives of the learned functions using the parameter shift rule on the IBM hardware. The parameter shift rule results in higher errors, which limits its execution to low-order derivatives. Despite these limitations, we solve a first-order DE on the IBM quantum computer. We further explore the advantages of using multiple qubits in QCL by learning different functions simultaneously and demonstrate the solution of a coupled DE on a simulator.
微分方程在科学和工程中的作用是至关重要的,因为它们为许多自然现象提供了数学框架。由于量子计算机承诺比经典计算机具有显著的优势,量子算法解决DEs已经受到了很多关注。特别有趣的是,在当前嘈杂的中等规模量子(NISQ)时代,算法提供了优势,其特点是小而容易出错的系统。我们考虑了一个变分量子算法框架,量子电路学习(QCL),结合推导方法,特别是参数移位规则,来解决DEs。由于这些算法是专门为NISQ计算机设计的,我们通过在IBM量子计算机上实现QCL来分析它们在NISQ设备上的适用性。我们对没有参数移位规则的QCL的分析表明,我们可以成功地使用三量子位电路学习不同的函数。然而,随着量子比特数量的增加,硬件错误会累积,因此,当前量子系统中只有一小部分可用的量子比特可以被有效利用。我们进一步表明,可以使用IBM硬件上的参数移位规则来确定学习函数的导数。参数移位规则导致较高的误差,这限制了其执行低阶导数。尽管存在这些限制,我们还是在IBM量子计算机上解决了一个一阶DE。我们通过同时学习不同的函数,进一步探索了在QCL中使用多个量子位的优势,并在模拟器上演示了耦合DE的解决方案。
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引用次数: 0
Advance Sharing Procedures for the Ramp Quantum Secret Sharing Schemes With the Highest Coding Rate 具有最高编码速率的斜坡量子秘密共享方案的提前共享过程
Pub Date : 2025-01-17 DOI: 10.1109/TQE.2025.3530939
Ryutaroh Matsumoto
In some quantum secret sharing schemes, it is known that some shares can be distributed to participants before a secret is given to the dealer. However, it is unclear whether some shares can be distributed before a secret is given in the ramp quantum secret sharing schemes with the highest coding rate. This article proposes procedures to distribute some shares before a secret is given in those schemes. The new procedures enhance the applicability of the secret sharing schemes to wider scenarios as some participants can be unavailable when the dealer obtains the quantum secret. Then, it is proved that our new encoding procedures retain the correspondences between quantum secrets and quantum shares in the original schemes, which ensures that the highest coding rates of the original schemes are also retained.
在一些量子秘密共享方案中,已知在向交易商提供秘密之前,可以将一些股份分配给参与者。然而,在具有最高编码速率的斜坡量子秘密共享方案中,是否可以在给出秘密之前分发一些共享,目前尚不清楚。本文提出了这些方案在保密前分配部分股份的程序。当交易商获得量子秘密时,一些参与者可能无法使用,因此新程序增强了秘密共享方案在更广泛情况下的适用性。然后,证明了我们的新编码过程保留了原方案中量子秘密和量子共享之间的对应关系,从而保证了原方案的最高编码率。
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引用次数: 0
Wavelet-Based Quantum Sensing of Geomagnetic Fluctuations With Multiple NV Ensembles 基于小波的多NV系综地磁波动量子传感
Pub Date : 2025-01-15 DOI: 10.1109/TQE.2025.3529868
Chou-Wei Kiang;Jean-Fu Kiang
Nitrogen-vacancy (NV) ensembles are viable magnetometers to be implemented on nanosatellites for monitoring geomagnetic fluctuations, which are credible precursors for predicting earthquakes at short notice. In this work, a Haar wavelet-based quantum sensing method is proposed to reconstruct the time-varying waveform of geomagnetic fluctuations in the very low frequency band. To collect different frequency components of fluctuations waveform at once, we propose a schematic to employ multiple NV ensembles (NVEs), with each controlled by an independent microwave source. Berry sequences are applied on one set of NVEs to extract the scaling coefficients from accumulated geometric phases to reconstruct near-dc components of a waveform. Spin-echo sequences are applied to another set of NVEs to extract the Haar wavelet coefficients from the dynamic phases to reconstruct high-frequency components. The efficacy of the proposed sensing protocol implemented on multiple NVEs is validated by reconstructing a waveform of geomagnetic fluctuations from a DEMETER satellite dataset through simulations. Each NVE is assumed to contain $N = 10^{8}$ uncorrelated NV centers. The application of a Berry sequence to each NVE can achieve the maximum detectable magnetic field of over $460 mu$T, resolving the issues of phase ambiguity and hyperfine-induced detuning if conventional Ramsey sequence were applied. The feasibility of the proposed simulation scenario considering spin-bath noise within an NVE is justified by simulations. The effects of wavelet scales, Rabi frequency in Berry sequence, and number of NV centers in each NVE are analyzed. The proposed NVE quantum sensors operated with the proposed sensing protocol can be installed on nanosatellites to monitor global geomagnetic fluctuations, with sub-$mu$s temporal resolution in the near future.
氮空位(NV)集合是一种可行的磁力计,将在纳米卫星上实施,用于监测地磁波动,而地磁波动是在短时间内预测地震的可靠前兆。本文提出了一种基于Haar小波的量子传感方法,用于重建地磁波动在极低频段的时变波形。为了同时收集波动波形的不同频率成分,我们提出了一个使用多个NV集成(nve)的示意图,每个nve由一个独立的微波源控制。在一组nve上应用Berry序列,从累积的几何相位中提取尺度系数,重建波形的近直流分量。将自旋回波序列应用于另一组nve,从动态相位提取Haar小波系数,重构高频分量。通过模拟重建DEMETER卫星数据集的地磁波动波形,验证了该传感方案在多个nve上实现的有效性。假设每个NVE包含$N = 10^{8}$不相关的NV中心。对每个NVE应用Berry序列可以实现超过$460 mu$T的最大可检测磁场,解决了使用常规Ramsey序列时的相位模糊和超细诱导失谐问题。通过仿真验证了该方法的可行性。分析了小波尺度、Berry序列中的Rabi频率和每个NVE中NV中心数的影响。按照拟议传感协议运行的拟议NVE量子传感器可安装在纳米卫星上,以监测全球地磁波动,在不久的将来,其时间分辨率将低于5 μ m。
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引用次数: 0
Quantum Two-Way Protocol Beyond Superdense Coding: Joint Transfer of Data and Entanglement 超越超密集编码的量子双向协议:数据和纠缠的联合传输
Pub Date : 2025-01-10 DOI: 10.1109/TQE.2025.3528238
Kristian S. Jensen;Lorenzo Valentini;René B. Christensen;Marco Chiani;Petar Popovski
In this article, we introduce a generalization of one-way superdense coding to two-way communication protocols for transmitting classical bits by using entangled quantum pairs. The proposed protocol jointly addresses the provision of entangled pairs and superdense coding, introducing an integrated approach for managing entanglement within the communication protocol. To assess the performance of the proposed protocol, we consider its data rate and resource usage, and we analyze this both in an ideal setting with no decoherence and in a more realistic setting where decoherence must be taken into account. In the ideal case, the proposal offers a 50% increase in both data rate and resource usage efficiency compared to conventional protocols. Even when decoherence is taken into consideration, the quantum protocol performs better as long as the decoherence time is not extremely short. Finally, we present the results of implementing the protocol in a computer simulation based on the NetSquid framework. We compare the simulation results with the theoretical values.
在本文中,我们将单向超密编码推广到利用纠缠量子对传输经典比特的双向通信协议。提出的协议共同解决了纠缠对和超密集编码的提供,引入了一种集成的方法来管理通信协议中的纠缠。为了评估所提出的协议的性能,我们考虑了它的数据速率和资源使用,并在没有退相干的理想环境和必须考虑退相干的更现实的环境中对其进行了分析。在理想情况下,与传统协议相比,该提案在数据速率和资源使用效率方面都提高了50%。即使考虑退相干,只要退相干时间不太短,量子协议的性能也较好。最后,给出了基于NetSquid框架的计算机仿真实现结果。将仿真结果与理论值进行了比较。
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引用次数: 0
Benchmarking Quantum Circuit Transformation With QKNOB Circuits 利用 QKNOB 电路为量子电路转换建立基准
Pub Date : 2025-01-08 DOI: 10.1109/TQE.2025.3527399
Sanjiang Li;Xiangzhen Zhou;Yuan Feng
Current superconducting quantum devices impose strict connectivity constraints on quantum circuit execution, necessitating circuit transformation before executing quantum circuits on physical hardware. Numerous quantum circuit transformation (QCT) algorithms have been proposed. To enable faithful evaluation of state-of-the-art QCT algorithms, this article introduces qubit mapping benchmark with known near-optimality (QKNOB), a novel benchmark construction method for QCT. QKNOB circuits have built-in transformations with near-optimal (close to the theoretical optimum) swap count and depth overhead. QKNOB provides general and unbiased evaluation of QCT algorithms. Using QKNOB, we demonstrate that SABRE, the default Qiskit compiler, consistently achieves the best performance on the 53-qubit IBM Q Rochester and Google Sycamore devices for both swap count and depth objectives. Our results also reveal significant performance gaps relative to the near-optimal transformation costs of QKNOB. Our construction algorithm and benchmarks are open-source.
目前的超导量子器件对量子电路的执行有严格的连通性约束,在物理硬件上执行量子电路之前需要进行电路转换。许多量子电路变换(QCT)算法已经被提出。为了对最先进的QCT算法进行忠实评估,本文介绍了一种新的QCT基准构建方法——已知近最优性量子比特映射基准(QKNOB)。QKNOB电路具有接近最优(接近理论最优)交换计数和深度开销的内置转换。QKNOB提供了QCT算法的一般和无偏评估。使用QKNOB,我们证明了默认的Qiskit编译器SABRE在53量子位IBM Q Rochester和谷歌Sycamore设备上始终实现交换计数和深度目标的最佳性能。我们的结果还揭示了相对于QKNOB接近最优转换成本的显著性能差距。我们的构造算法和基准是开源的。
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引用次数: 0
期刊
IEEE Transactions on Quantum Engineering
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