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Dynamic Phase Enabled Topological Mode Steering in Composite Su‐Schrieffer–Heeger Waveguide Arrays 复合 Su-Schrieffer-Heeger 波导阵列中的动态相位拓扑模式转向
Pub Date : 2024-09-07 DOI: 10.1002/qute.202400390
Min Tang, Chi Pang, Christian N. Saggau, Haiyun Dong, Ching Hua Lee, Ronny Thomale, Sebastian Klembt, Ion Cosma Fulga, Jeroen van den Brink, Yana Vaynzof, Oliver G. Schmidt, Jiawei Wang, Libo Ma
Topological boundary states localize at interfaces whenever the interface implies a change of the associated topological invariant encoded in the geometric phase. The generically present dynamic phase, however, which is energy and time‐dependent, is known to be non‐universal, and hence not to intertwine with any topological geometric phase. Using the example of topological zero modes in composite Su‐Schrieffer‐Heeger (c‐SSH) waveguide arrays with a central defect is reported on the selective excitation and transition of topological boundary mode based on dynamic phase‐steered interferences. This work thus provides a new knob for the control and manipulation of topological states in composite photonic devices, indicating promising applications where topological modes and their bandwidth can be jointly controlled by the dynamic phase, geometric phase, and wavelength in on‐chip topological devices.
只要界面意味着几何相位中编码的相关拓扑不变量发生变化,拓扑边界态就会在界面上定位。然而,众所周知,一般存在的动态相位与能量和时间有关,是非普遍性的,因此不会与任何拓扑几何相位交织在一起。以具有中心缺陷的复合苏-施里弗-黑格(c-SSH)波导阵列中的拓扑零模为例,报告了基于动态相位转向干涉的拓扑边界模的选择性激发和转换。因此,这项工作为控制和操纵复合光子器件中的拓扑态提供了一个新的诀窍,表明在片上拓扑器件中,拓扑模式及其带宽可由动态相位、几何相位和波长共同控制,应用前景广阔。
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引用次数: 0
Variational Quantum Algorithm‐Preserving Feasible Space for Solving the Uncapacitated Facility Location Problem 解决无障碍设施位置问题的变式量子算法--保留可行空间
Pub Date : 2024-09-02 DOI: 10.1002/qute.202400201
Sha‐Sha Wang, Hai‐Ling Liu, Yong‐Mei Li, Fei Gao, Su‐Juan Qin, Qiao‐Yan Wen
The Quantum Alternating Operator Ansatz (QAOA+) is one of the Variational Quantum Algorithm (VQA) specifically developed to tackle combinatorial optimization problems by exploring the feasible space in search of a target solution. For the Constrained Binary Optimization with Unconstrained Variables Problems (CBO‐UVPs), the mixed operators in the QAOA+ circuit are applied to the constrained variables, while the single‐qubit rotating gates operate on the unconstrained variables. The expressibility of this circuit is limited by the shortage of two‐qubit gates and the parameter sharing in the single‐qubit rotating gates, which consequently impacts the performance of QAOA+ for solving CBO‐UVPs. Therefore, it is crucial to develop a suitable ansatz for CBO‐UVPs. In this paper, the Variational Quantum Algorithm‐Preserving Feasible Space (VQA‐PFS) ansatz is proposed, exemplified by the Uncapacitated Facility Location Problem (UFLP), that applies mixed operators on constrained variables while employing Hardware‐Efficient Ansatz (HEA) on unconstrained variables. The numerical results demonstrate that VQA‐PFS significantly enhances the probability of success and exhibits faster convergence than QAOA+, Quantum Approximation Optimization Algorithm (QAOA), and HEA. Furthermore, VQA‐PFS reduces the circuit depth dramatically compared to QAOA+ and QAOA. The algorithm is general and instructive in tackling CBO‐UVPs.
量子交替算子解析(QAOA+)是变量子算法(VQA)的一种,专门用于通过探索可行空间寻找目标解来解决组合优化问题。对于带无约束变量的约束二元优化问题(CBO-UVPs),QAOA+ 电路中的混合算子应用于约束变量,而单量子比特旋转门则对无约束变量进行操作。由于双量子比特门的短缺和单量子比特旋转门的参数共享,该电路的可表达性受到了限制,从而影响了 QAOA+ 在求解 CBO-UVPs 时的性能。因此,为 CBO-UVPs 开发一个合适的解析模型至关重要。本文提出了变分量子算法保留可行空间(VQA-PFS)算式,并以无容设施定位问题(UFLP)为例,在有约束变量上应用混合算子,同时在无约束变量上采用硬件高效算式(HEA)。数值结果表明,与 QAOA+、量子逼近优化算法 (QAOA) 和 HEA 相比,VQA-PFS 显著提高了成功概率,并表现出更快的收敛速度。此外,与 QAOA+ 和 QAOA 相比,VQA-PFS 能显著降低电路深度。该算法在处理 CBO-UVP 时具有通用性和指导性。
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引用次数: 0
Quantum‐Noise‐Driven Generative Diffusion Models 量子噪声驱动的生成扩散模型
Pub Date : 2024-07-15 DOI: 10.1002/qute.202300401
Marco Parigi, Stefano Martina, Filippo Caruso
Generative models realized with Machine Learning (ML) techniques are powerful tools to infer complex and unknown data distributions from a finite number of training samples in order to produce new synthetic data. Diffusion Models (DMs) are an emerging framework that have recently overcome Generative Adversarial Networks (GANs) in creating high‐quality images. Here, is proposed and discussed the quantum generalization of DMs, i.e., three Quantum‐Noise‐Driven Generative Diffusion Models (QNDGDMs) that could be experimentally tested on real quantum systems. The idea is to harness unique quantum features, in particular the non‐trivial interplay among coherence, entanglement, and noise that the currently available noisy quantum processors do unavoidably suffer from, in order to overcome the main computational burdens of classical diffusion models during inference. Hence, the suggestion is to exploit quantum noise not as an issue to be detected and solved but instead as a beneficial key ingredient to generate complex probability distributions from which a quantum processor might sample more efficiently than a classical one. Three examples of the numerical simulations are also included for the proposed approaches. The results are expected to pave the way for new quantum‐inspired or quantum‐based generative diffusion algorithms addressing tasks as data generation with widespread real‐world applications.
利用机器学习(ML)技术实现的生成模型是一种强大的工具,可以从有限的训练样本中推断出复杂和未知的数据分布,从而生成新的合成数据。扩散模型(DMs)是一种新兴框架,最近在创建高质量图像方面战胜了生成对抗网络(GANs)。本文提出并讨论了 DMs 的量子概论,即三种量子噪声驱动生成扩散模型(QNDGDMs),可在真实量子系统上进行实验测试。我们的想法是利用独特的量子特性,特别是相干性、纠缠和噪声之间的非微妙相互作用,以克服经典扩散模型在推理过程中的主要计算负担。因此,我们建议利用量子噪声,而不是将其作为需要检测和解决的问题,而是将其作为产生复杂概率分布的有利关键因素,量子处理器从中采样可能比经典处理器更有效率。针对所提出的方法,我们还提供了三个数值模拟实例。这些结果有望为新的量子启发或基于量子的生成扩散算法铺平道路,从而解决数据生成等任务,并在现实世界中得到广泛应用。
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引用次数: 0
Nuclear Physics in the Era of Quantum Computing and Quantum Machine Learning 量子计算和量子机器学习时代的核物理
Pub Date : 2024-05-03 DOI: 10.1002/qute.202300219
José‐Enrique García‐Ramos, Álvaro Sáiz, José M. Arias, Lucas Lamata, Pedro Pérez‐Fernández
In this paper, the application of quantum simulations and quantum machine learning is explored to solve problems in low‐energy nuclear physics. The use of quantum computing to address nuclear physics problems is still in its infancy, and particularly, the application of quantum machine learning (QML) in the realm of low‐energy nuclear physics is almost nonexistent. Three specific examples are presented where the utilization of quantum computing and QML provides, or can potentially provide in the future, a computational advantage: i) determining the phase/shape in schematic nuclear models, ii) calculating the ground state energy of a nuclear shell model‐type Hamiltonian, and iii) identifying particles or determining trajectories in nuclear physics experiments.
本文探讨了量子模拟和量子机器学习在解决低能核物理问题中的应用。利用量子计算解决核物理问题仍处于起步阶段,特别是量子机器学习(QML)在低能核物理领域的应用几乎不存在。本文介绍了三个利用量子计算和量子机器学习提供或将来可能提供计算优势的具体例子:i) 确定示意核模型中的相位/形状;ii) 计算核壳模型型哈密顿的基态能量;iii) 识别核物理实验中的粒子或确定轨迹。
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引用次数: 0
Machine Learning for Maximizing the Memristivity of Single and Coupled Quantum Memristors 通过机器学习最大化单个和耦合量子晶体记忆器的记忆性
Pub Date : 2024-04-15 DOI: 10.1002/qute.202300294
Carlos Hernani‐Morales, Gabriel Alvarado, Francisco Albarrán‐Arriagada, Yolanda Vives‐Gilabert, Enrique Solano, José D. Martín‐Guerrero
Machine learning (ML) methods are proposed to characterize the memristive properties of single and coupled quantum memristors. It is shown that maximizing the memristivity leads to large values in the degree of entanglement of two quantum memristors, unveiling the close relationship between quantum correlations and memory. The results strengthen the possibility of using quantum memristors as key components of neuromorphic quantum computing.
本文提出了机器学习(ML)方法来描述单个和耦合量子忆阻器的忆阻特性。结果表明,忆阻性最大化会导致两个量子忆阻器的纠缠程度达到较大值,从而揭示了量子相关性与记忆之间的密切关系。研究结果加强了将量子忆阻器用作神经形态量子计算关键组件的可能性。
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引用次数: 0
Statistical Complexity of Quantum Learning 量子学习的统计复杂性
Pub Date : 2024-04-15 DOI: 10.1002/qute.202300311
Leonardo Banchi, Jason Luke Pereira, Sharu Theresa Jose, Osvaldo Simeone
Learning problems involve settings in which an algorithm has to make decisions based on data, and possibly side information such as expert knowledge. This study has two main goals. First, it reviews and generalizes different results on the data and model complexity of quantum learning, where the data and/or the algorithm can be quantum, focusing on information‐theoretic techniques. Second, it introduces the notion of copy complexity, which quantifies the number of copies of a quantum state required to achieve a target accuracy level. Copy complexity arises from the destructive nature of quantum measurements, which irreversibly alter the state to be processed, limiting the information that can be extracted about quantum data. As a result, empirical risk minimization is generally inapplicable. The paper presents novel results on the copy complexity for both training and testing. To make the paper self‐contained and approachable by different research communities, an extensive background material is provided on classical results from statistical learning theory, as well as on the distinguishability of quantum states. Throughout, the differences between quantum and classical learning are highlighted by addressing both supervised and unsupervised learning, and extensive pointers are provided to the literature.
学习问题涉及算法必须根据数据以及可能的辅助信息(如专家知识)做出决策的设置。这项研究有两个主要目标。首先,它回顾并归纳了关于量子学习的数据和模型复杂性的不同结果,其中数据和/或算法可以是量子的,重点是信息论技术。其次,它引入了拷贝复杂度的概念,即量化达到目标精度水平所需的量子态拷贝数量。拷贝复杂性源于量子测量的破坏性,量子测量会不可逆地改变要处理的状态,从而限制了可以提取的量子数据信息。因此,经验风险最小化通常并不适用。本文提出了训练和测试副本复杂度的新结果。为了使本文自成一体,并能为不同研究领域所用,本文提供了大量背景材料,介绍了统计学习理论的经典结果以及量子态的可区分性。通过探讨监督学习和无监督学习,本文突出了量子学习与经典学习之间的差异,并提供了大量文献索引。
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引用次数: 0
Toward Useful Quantum Kernels 实现有用的量子内核
Pub Date : 2024-02-17 DOI: 10.1002/qute.202300298
Massimiliano Incudini, Francesco Martini, Alessandra Di Pierro
Supervised machine learning is a popular approach to the solution of many real-life problems. This approach is characterized by the use of labeled datasets to train algorithms for classifying data or predicting outcomes accurately. The question of the extent to which quantum computation can help improve existing classical supervised learning methods is the subject of intense research in the area of quantum machine learning. The debate centers on whether an advantage can be achieved already with current noisy quantum computer prototypes or it is strictly dependent on the full power of a fault-tolerant quantum computer. The current proposals can be classified into methods that can be suitably implemented on near-term quantum computers but are essentially empirical, and methods that use quantum algorithms with a provable advantage over their classical counterparts but only when implemented on the still unavailable fault-tolerant quantum computer.
监督式机器学习是解决许多现实问题的常用方法。这种方法的特点是使用标注数据集来训练算法,以便对数据进行分类或准确预测结果。量子计算能在多大程度上帮助改进现有的经典监督学习方法,这个问题是量子机器学习领域的热门研究课题。争论的焦点是,目前的噪声量子计算机原型是否已经可以实现优势,还是完全取决于容错量子计算机的全部功能。目前的建议可分为两类:一类是可在近期量子计算机上适当实现但基本上是经验性的方法;另一类是使用量子算法,与经典算法相比具有可证明的优势,但只能在尚不可用的容错量子计算机上实现。
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引用次数: 0
Reference‐Frame‐Independent Mode‐Pairing Quantum Key Distribution with Advantage Distillation 与参考框架无关的模式配对量子密钥分发与优势蒸馏
Pub Date : 2024-02-05 DOI: 10.1002/qute.202300387
Yuemei Li, Zhongqi Sun, Xinhe Liu, Zhenhua Li, Jiaao Li, Haoyang Wang, Kaiyi Shi, Chang Liu, Haiqiang Ma
The coordination between distance and the secure key rate is one of the main challenges in the practical application of quantum key distribution (QKD). Mode‐pairing quantum key distribution is one of the schemes that can surpass the secret key capacity for repeaterless QKD. However, the protocol utilizes phase to encode the information, which leads to the problem of active stabilization in the interferometer. In this paper, a reference‐frame‐independent mode‐pairing quantum key distribution (RFI‐MP‐QKD) is proposed as an effective scheme to solve this problem. Moreover, the performance of the RFI‐MP‐QKD protocol is improved by applying the Advantage Distillation (AD) method in data post‐processing, which separates the highly correlated raw key bits from the weakly correlated information. The simulation results show that the secure key rate of RFI‐MP‐QKD has almost no degradation for reference frame deviation angles of . Compared to RFI‐MP‐QKD without AD method, the AD method decreases the quantum bit error rate from 0.04 to 0.012 and increases the maximum transmission distance from 406 to 450 km. The scheme proposed is expected to facilitate the practical implementation of RFI‐MP‐QKD, especially in cases of concerning reference frame alignment and high channel loss.
距离与安全密钥率之间的协调是量子密钥分发(QKD)实际应用中的主要挑战之一。模式配对量子密钥分发是能够超越无中继器 QKD 密钥容量的方案之一。然而,该协议利用相位对信息进行编码,这导致了干涉仪的主动稳定问题。本文提出了一种与参考帧无关的模式配对量子密钥分配(RFI-MP-QKD),作为解决这一问题的有效方案。此外,通过在数据后处理中应用优势蒸馏(AD)方法,将高度相关的原始密钥比特与弱相关信息分离开来,RFI-MP-QKD 协议的性能得到了提高。仿真结果表明,在参考帧偏差角为.的情况下,RFI-MP-QKD 的安全密钥速率几乎没有下降。 与不使用 AD 方法的 RFI-MP-QKD 相比,AD 方法将量子比特错误率从 0.04 降低到 0.012,最大传输距离从 406 公里增加到 450 公里。所提出的方案有望促进 RFI-MP-QKD 的实际应用,尤其是在参考帧对齐和信道损耗较高的情况下。
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引用次数: 0
Quantum Metrology Assisted by Machine Learning 机器学习辅助量子计量学
Pub Date : 2024-01-24 DOI: 10.1002/qute.202300329
Jiahao Huang, Min Zhuang, Jungeng Zhou, Yi Shen, Chaohong Lee
Quantum metrology aims to measure physical quantities based on fundamental quantum principles, enhancing measurement precision through resources like quantum entanglement and quantum correlations. This field holds promise for advancing quantum-enhanced sensors, including atomic clocks and magnetometers. However, practical constraints exist in the four fundamental steps of quantum metrology, including initialization, sensing, readout, and estimation. Valuable resources, such as coherence time, impose limitations on the performance of quantum sensors. Machine learning, enabling learning and prediction without explicit knowledge, provides a powerful tool in optimizing quantum metrology with limited resources. This article reviews the fundamental principles, potential applications, and recent advancements in quantum metrology assisted by machine learning.
量子计量学旨在根据基本量子原理测量物理量,通过量子纠缠和量子关联等资源提高测量精度。这一领域有望推动量子增强传感器的发展,包括原子钟和磁力计。然而,在量子计量学的四个基本步骤(包括初始化、传感、读出和估计)中存在实际限制。相干时间等宝贵资源对量子传感器的性能造成了限制。机器学习能够在没有明确知识的情况下进行学习和预测,为利用有限资源优化量子计量学提供了有力工具。本文回顾了机器学习辅助量子计量学的基本原理、潜在应用和最新进展。
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引用次数: 0
Broadband Spectroscopy and Interferometry with Undetected Photons at Strong Parametric Amplification 在强参量放大条件下使用未检测到的光子进行宽带光谱学和干涉测量
Pub Date : 2023-12-24 DOI: 10.1002/qute.202300299
Kazuki Hashimoto, Dmitri B. Horoshko, Maria V. Chekhova
Nonlinear interferometry with entangled photons allows for characterizing a sample without detecting the photons interacting with it. This method enables highly sensitive optical sensing in the wavelength regions where efficient detectors are still under development. Recently, nonlinear interferometry has been applied to interferometric measurement techniques with broadband light sources, such as Fourier-transform infrared spectroscopy and infrared optical coherence tomography. However, they have been demonstrated with photon pairs produced through spontaneous parametric down-conversion (SPDC) at a low parametric gain, where the average number of photons per mode is much smaller than one. The regime of high-gain SPDC offers several important advantages, such as the amplification of light after its interaction with the sample and a large number of photons per mode at the interferometer output. This work presents broadband spectroscopy and high-resolution optical coherence tomography with undetected photons generated via high-gain SPDC in an aperiodically poled lithium niobate crystal. To prove the principle, reflective Fourier-transform near-infrared spectroscopy with a spectral bandwidth of 17 THz and optical coherence tomography with an axial resolution of 11 µm are demonstrated.
利用纠缠光子进行非线性干涉测量,可以在不探测与样品相互作用的光子的情况下确定样品的特性。这种方法可以在高效探测器仍在开发的波长区域实现高灵敏度的光学传感。最近,非线性干涉测量法已被应用于宽带光源干涉测量技术,如傅立叶变换红外光谱和红外光相干断层扫描。不过,这些技术都是在低参数增益条件下通过自发参数下变频(SPDC)产生的光子对进行演示的,在低参数增益条件下,每个模式的平均光子数远远小于 1。高增益 SPDC 机制具有几个重要优势,例如光与样品相互作用后会被放大,以及干涉仪输出端每个模式的光子数较多。这项工作介绍了在非周期性极化铌酸锂晶体中通过高增益 SPDC 产生的未检测光子进行宽带光谱分析和高分辨率光学相干断层扫描的情况。为了证明其原理,演示了光谱带宽为 17 太赫兹的反射式傅立叶变换近红外光谱仪和轴向分辨率为 11 微米的光学相干断层成像仪。
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引用次数: 0
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Advanced Quantum Technologies
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