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Adversarial robustness guarantees for quantum classifiers 量子分类器的对抗鲁棒性保证
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2026-01-19 DOI: 10.1038/s41534-025-01129-3
Neil Dowling, Maxwell T. West, Angus Southwell, Azar C. Nakhl, Martin Sevior, Muhammad Usman, Kavan Modi
Despite their ever more widespread deployment throughout society, machine learning algorithms remain critically vulnerable to being spoofed by subtle adversarial tampering with their input data. The prospect of near-term quantum computers being capable of running quantum machine learning (QML) algorithms has therefore generated intense interest in their adversarial vulnerability. Here we show that quantum properties of QML algorithms can confer fundamental protections against such attacks, in certain scenarios guaranteeing robustness against classically-armed adversaries. We leverage tools from many-body physics to identify the quantum sources of this protection. Our results offer a theoretical underpinning of recent evidence which suggest quantum advantages in the search for adversarial robustness. In particular, we prove that quantum classifiers are: (i) protected against weak perturbations of data drawn from the trained distribution, (ii) protected against local attacks if they are insufficiently scrambling, and (iii) show evidence that they are protected against universal adversarial attacks if they are sufficiently chaotic. Our analytic results are supported by numerical evidence demonstrating the applicability of our theorems and the resulting robustness of a quantum classifier in practice. This line of inquiry constitutes a concrete pathway to advantage in QML, orthogonal to the usually sought improvements in model speed or accuracy.
尽管机器学习算法在整个社会中得到了越来越广泛的应用,但它们仍然非常容易被输入数据的微妙对抗性篡改所欺骗。因此,近期量子计算机能够运行量子机器学习(QML)算法的前景引起了人们对其对抗性漏洞的强烈兴趣。在这里,我们展示了QML算法的量子特性可以赋予对此类攻击的基本保护,在某些情况下保证对传统武装对手的鲁棒性。我们利用多体物理学的工具来识别这种保护的量子来源。我们的结果为最近的证据提供了理论基础,这些证据表明量子在寻找对抗性稳健性方面具有优势。特别是,我们证明了量子分类器:(i)防止从训练分布中提取的数据的弱扰动,(ii)如果它们不够乱,可以防止局部攻击,(iii)显示证据表明,如果它们足够混乱,它们可以防止普遍对抗性攻击。我们的分析结果得到了数值证据的支持,证明了我们的定理的适用性和量子分类器在实践中的鲁棒性。这条研究路线构成了在QML中获得优势的具体途径,与通常寻求的模型速度或准确性的改进是正交的。
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引用次数: 0
Anomalous transport in U(1)-symmetric quantum circuits U(1)对称量子电路中的异常输运
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2026-01-17 DOI: 10.1038/s41534-025-01178-8
Alessandro Summer, Alexander Nico-Katz, Shane Dooley, John Goold
In this work, we investigate discrete-time transport in a generic U(1)-symmetric disordered model tuned across an array of different dynamical regimes. We develop an aggregate quantity, a circular statistical moment, which is a simple function of the magnetization profile and which elegantly captures transport properties of the system. From this quantity, we extract transport exponents, revealing behaviors across the phase diagram consistent with localized, diffusive, and—most interestingly for a disordered system—superdiffusive regimes. Investigation of this superdiffusive regime reveals the existence of a prethermal “swappy” regime unique to discrete-time systems in which excitations propagate coherently; even in the presence of strong disorder.
在这项工作中,我们研究了一个通用的U(1)-对称无序模型中的离散时间输运,该模型在一系列不同的动力机制中进行了调谐。我们开发了一个总量,一个圆形统计矩,它是磁化剖面的一个简单函数,它优雅地捕捉了系统的输运性质。从这个量中,我们提取了输运指数,揭示了与局域化、扩散和最有趣的无序系统的超扩散机制一致的相图行为。对这一超扩散状态的研究揭示了离散系统特有的预热“交换”状态的存在。即使是在极度混乱的情况下。
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引用次数: 0
Photon-number conserved universal quantum logic employing continuous-time quantum walk on dual-rail qubit arrays 在双轨道量子比特阵列上采用连续时间量子行走的光子数守恒通用量子逻辑
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2026-01-17 DOI: 10.1038/s41534-025-01147-1
Hao-Yu Guan, Yifei Li, Xiu-Hao Deng
We demonstrate a synergy between dual-rail qubit encoding and continuous-time quantum walks (CTQW) to realize universal quantum logic in superconducting circuits. Utilizing the photon-number-conserving dynamics of CTQW on dual-rail transmons, which systematically transform leakage and relaxation into erasure events, our architecture facilitates the suppression of population leakage and the implementation of high-fidelity quantum gates. We construct single-, two-, and three-qubit operations that preserve dual-rail encoding, facilitated by tunable coupler strengths compatible with current superconducting qubit platforms. Numerical simulations confirm robust behavior against dephasing, relaxation, and imperfections in coupling, underscoring the erasure-friendly nature of the system. This hardware-efficient scheme thus provides a practical pathway to early fault-tolerant quantum computation, laying the groundwork for scalable gate implementations and advanced error-correction strategies.
我们展示了双轨道量子比特编码和连续时间量子行走(CTQW)之间的协同作用,以实现超导电路中的通用量子逻辑。利用CTQW在双轨传输上的光子数守恒动力学,系统地将泄漏和松弛转化为擦除事件,我们的架构有助于抑制种群泄漏和实现高保真量子门。我们构建了单、二和三量子位操作,这些操作保留了双轨编码,并通过与当前超导量子位平台兼容的可调谐耦合器强度来促进。数值模拟证实了对失相、松弛和耦合缺陷的鲁棒性,强调了系统的擦除友好性质。因此,这种硬件高效的方案为早期容错量子计算提供了一条实用的途径,为可扩展门实现和高级纠错策略奠定了基础。
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引用次数: 0
Faithful and secure distributed quantum sensing under general-coherent attacks 通用相干攻击下的忠实安全分布式量子传感
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2026-01-17 DOI: 10.1038/s41534-025-01180-0
Gabriele Bizzarri, Marco Barbieri, Mylenne Manrique, Miranda Parisi, Fabio Bruni, Ilaria Gianani, Matteo Rosati
Quantum metrology and cryptography can be combined in a distributed and/or remote sensing setting, where distant end-users with limited quantum capabilities can employ quantum states, transmitted by a quantum-powerful provider via a quantum network, to perform quantum-enhanced parameter estimation in a private fashion. Previous works on the subject have been limited by restricted assumptions on the capabilities of a potential eavesdropper and the use of abort-based protocols that prevent a simple practical realization. Here we introduce, theoretically analyze, and experimentally demonstrate single- and two-way protocols for distributed sensing combining several unique and desirable features: (i) a safety-threshold mechanism that allows the protocol to proceed in low-noise cases and quantifying the potential tampering with respect to the ideal estimation procedure, effectively paving the way for wide-spread practical realizations; (ii) equivalence of entanglement-based and mutually-unbiased-bases-based formulations; (iii) robustness against collective attacks via a LOCC-de-Finetti theorem, for the first time to our knowledge. Finally, we demonstrate our protocols in a photonic-based implementation, observing that the possibility of guaranteeing a safety threshold may come at a significant price in terms of the estimation bias, potentially overestimating the effect of tampering in practical settings.
量子计量学和密码学可以在分布式和/或遥感环境中结合起来,在这种环境中,量子能力有限的远程终端用户可以使用量子态,由量子强大的提供商通过量子网络传输,以私有方式执行量子增强参数估计。先前关于该主题的工作受到对潜在窃听者能力的有限假设和基于中止的协议的使用的限制,这些协议阻碍了简单的实际实现。在这里,我们介绍,理论分析和实验证明了用于分布式传感的单路和双向协议,结合了几个独特和理想的特征:(i)安全阈值机制,允许协议在低噪声情况下进行,并量化相对于理想估计过程的潜在篡改,有效地为广泛的实际实现铺平道路;(ii)基于纠缠和基于相互无偏基的公式的等价性;(iii)通过LOCC-de-Finetti定理对集体攻击的鲁棒性,这是我们所知的第一次。最后,我们在基于光子的实现中展示了我们的协议,观察到保证安全阈值的可能性可能在估计偏差方面付出重大代价,可能高估了实际设置中篡改的影响。
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引用次数: 0
Heisenberg-limited Bayesian phase estimation with low-depth digital quantum circuits 低深度数字量子电路的海森堡有限贝叶斯相位估计
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2026-01-15 DOI: 10.1038/s41534-025-01177-9
Su Direkci, Ran Finkelstein, Manuel Endres, Tuvia Gefen
Optimal phase estimation protocols require complex state preparation and readout schemes, generally unavailable or unscalable in many quantum platforms. We develop a scheme that achieves near-optimal precision up to a constant overhead for Bayesian phase estimation, using simple digital quantum circuits with depths scaling logarithmically with the number of qubits. This is done by approximating the optimal initial states with products of Greenberger-Horne-Zeilinger states for Gaussian prior phase distributions with arbitrary widths. We study various protocols that employ this class of states with different levels of measurement and post-processing complexities, and obtain improvement compared to previously proposed schemes. We then use our scheme to address phase slip errors and laser noise, which impose a major limitation in Bayesian phase estimation and atomic clocks. Based on our scheme, we develop an efficient protocol to suppress this noise that outperforms existing methods.
最优相位估计协议需要复杂的状态准备和读出方案,在许多量子平台中通常不可用或不可扩展。我们开发了一种方案,该方案使用简单的数字量子电路,深度与量子位的数量成对数比例,在贝叶斯相位估计的恒定开销下实现接近最优的精度。这是通过用任意宽度的高斯先验相位分布的greenberger - horn - zeilinger状态的乘积近似最优初始状态来完成的。我们研究了使用这类具有不同测量和后处理复杂性的状态的各种协议,并与先前提出的方案相比获得了改进。然后,我们使用我们的方案来解决相位滑移误差和激光噪声,这是贝叶斯相位估计和原子钟的主要限制。基于我们的方案,我们开发了一种有效的协议来抑制这种噪声,优于现有的方法。
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引用次数: 0
Heralded photonic graph states with inefficient quantum emitters 具有低效量子发射体的预示光子图态
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2026-01-15 DOI: 10.1038/s41534-026-01181-7
Maxwell Gold, Jianlong Lin, Eric Chitambar, Elizabeth A. Goldschmidt
Quantum emitter-based schemes for the generation of photonic graph states offer a promising, resource-efficient methodology for realizing distributed quantum computation and communication protocols on near-term hardware. We present a heralded scheme for making photonic graph states that is compatible with the typically poor photon collection from state-of-the-art coherent quantum emitters. We demonstrate that the construction time for large graph states can be polynomial in the photon collection efficiency, as compared to the exponential scaling of current emitter-based schemes, which assume deterministic photon collection. The additional overhead here consists of an extra spin qubit plus one additional spin-spin entangling gate per photon added to the graph. While the proposed scheme requires both non-demolition measurement and efficient storage of photons in order to generate graph states for arbitrary applications, we show that many useful tasks, including measurement-based quantum computation, can be implemented without these requirements. As a use case of our scheme, we construct a protocol for secure two-party computation that can be implemented efficiently on current hardware. Estimates of the fidelity to produce graph states used in the computation are given assuming current and near-term fidelities for highly coherent quantum emitters.
基于量子发射体的光子图态生成方案为在近期硬件上实现分布式量子计算和通信协议提供了一种有前途的、资源高效的方法。我们提出了一种预示方案,用于制作光子图状态,该状态与最先进的相干量子发射器的典型光子收集相兼容。我们证明,与当前基于发射器的方案的指数缩放相比,大图状态的构建时间可以是光子收集效率的多项式,该方案假设光子收集是确定性的。这里的额外开销包括一个额外的自旋量子比特和一个额外的自旋纠缠门,每个光子添加到图中。虽然所提出的方案需要非拆除测量和有效的光子存储,以便为任意应用生成图形状态,但我们表明,许多有用的任务,包括基于测量的量子计算,可以在没有这些要求的情况下实现。作为我们方案的一个用例,我们构建了一个安全的双方计算协议,该协议可以在当前硬件上有效地实现。假设高相干量子发射体的当前保真度和近期保真度,给出了计算中使用的图形状态的保真度估计。
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引用次数: 0
Nonlocality of quantum states can be transitive 量子态的非定域性可以是可传递的
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2026-01-10 DOI: 10.1038/s41534-025-01173-z
Kai-Siang Chen, Gelo Noel M. Tabia, Chung-Yun Hsieh, Yu-Chun Yin, Yeong-Cherng Liang
Despite the monogamous nature of nonlocal correlations, in a Bell test involving three parties A, B, and C, the nonlocality in two bipartite subsystems (e.g., AB and BC) may force the remaining bipartite subsystem (e.g., AC) to exhibit nonlocality. Although this intriguing effect of nonlocality transitivity has been identified in the non-quantum non-signaling world since 2011, whether such transitivity could manifest within quantum theory has remained unresolved. Here, we answer this open problem affirmatively—both analytically and numerically—at the level of quantum states, thereby showing that a quantum-realizable notion of nonlocality transitivity exists. In our analytic construction, we prove and use the fact that copies of the W-state marginals uniquely determine the global compatible state, thus establishing another instance when the parts determine the whole. Moreover, we present a simple method to construct quantum states and correlations that are nonlocal in all their non-unipartite marginals. We also discuss the implications of our results in (semi-) device-independent cryptographic and certification tasks.
尽管非局部关联具有一夫一妻制的性质,但在涉及三方a、B和C的贝尔检验中,两个二部子系统(例如AB和BC)的非局部性可能会迫使其余二部子系统(例如AC)表现出非局部性。尽管自2011年以来,这种有趣的非局域传递性效应已经在非量子非信号世界中被发现,但这种传递性是否能在量子理论中表现出来仍未得到解决。在这里,我们在量子态的水平上肯定地回答了这个开放问题——无论是解析的还是数值的,从而表明存在一个量子可实现的非定域传递性概念。在我们的解析构造中,我们证明并利用了w状态边缘的副本唯一地决定了全局相容状态,从而建立了局部决定整体的另一个实例。此外,我们还提出了一种简单的方法来构造在所有非单部边际上都是非局部的量子态和相关。我们还讨论了我们的结果在(半)设备无关的加密和认证任务中的含义。
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引用次数: 0
Exponential quantum advantages in learning quantum observables from classical data 指数量子在从经典数据中学习量子可观测值方面的优势
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2026-01-10 DOI: 10.1038/s41534-025-01162-2
Riccardo Molteni, Casper Gyurik, Vedran Dunjko
Quantum computers are believed to bring computational advantages in simulating quantum many-body systems. However, recent works have shown that classical machine learning algorithms are able to predict numerous properties of quantum systems with classical data. Despite examples of learning tasks with provable quantum advantages being proposed, they all involve cryptographic functions and do not represent any physical scenarios encountered in laboratory settings. In this paper, we prove quantum advantages for the physically relevant task of learning quantum observables from classical (measured-out) data. We consider two types of observables: first, we prove a learning advantage for linear combinations of Pauli strings, then we extend our results to a broader case of unitarily parametrized observables. For each case, we delineate sharp boundaries separating physically relevant tasks that admit efficient classical learning from those for which a quantum computer remains necessary for data analysis. Unlike previous works, our classical hardness results rely only on the weaker assumption that $$BQP$$ B Q P hard processes cannot be simulated by polynomial-size classical circuits, and we also provide a nontrivial quantum learning algorithm. Our results clarify when quantum resources are useful for learning problems in quantum many-body physics, and suggest practical directions in which quantum learning improvements may emerge.
量子计算机被认为在模拟量子多体系统方面具有计算优势。然而,最近的研究表明,经典的机器学习算法能够用经典数据预测量子系统的许多特性。尽管提出了具有可证明的量子优势的学习任务示例,但它们都涉及加密功能,并且不代表在实验室环境中遇到的任何物理场景。在本文中,我们证明了量子在从经典(测量)数据中学习量子可观测物的物理相关任务中的优势。我们考虑两种类型的可观察对象:首先,我们证明了泡利弦线性组合的学习优势,然后我们将我们的结果扩展到更广泛的单参数化可观察对象的情况。对于每种情况,我们都划定了明确的界限,将物理相关的任务区分开来,这些任务允许有效的经典学习,而量子计算机仍然需要进行数据分析。与以前的工作不同,我们的经典硬度结果仅依赖于一个较弱的假设,即$$BQP$$ B Q P硬过程不能被多项式大小的经典电路模拟,并且我们还提供了一个非平凡的量子学习算法。我们的研究结果阐明了量子资源何时对量子多体物理中的学习问题有用,并提出了量子学习改进可能出现的实际方向。
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引用次数: 0
Few-shot estimation of entanglement with Bell measurement assistance 用贝尔测量辅助的少射估计纠缠
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2026-01-09 DOI: 10.1038/s41534-025-01172-0
Gong-Chu Li, Lei Chen, Xu-Song Hong, Si-Qi Zhang, Huaqing Xu, Yuancheng Liu, You Zhou, Geng Chen, Chuan-Feng Li, Guang-Can Guo
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引用次数: 0
Non-Gaussian state preparation and enhancement using weak-value amplification 利用弱值放大制备和增强非高斯态
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2026-01-08 DOI: 10.1038/s41534-025-01176-w
Xiao-Xi Yao, Yusuf Turek
We introduce a protocol for generating non-Gaussian (nG) states via postselected weak measurement. The scheme involves injecting an arbitrary quantum state and a single photon into the signal and idler ports of an interferometer with a third-order nonlinear medium. An nG state is conditionally produced at the signal output, heralded by single-photon detection in an idler output channel. The protocol exploits a weak cross-Kerr interaction, with effective single-photon nonlinearity enhanced by weak-value amplification. By tuning the weak value of the idler photon number operator within experimentally feasible parameters, diverse nG states can be generated with high fidelity. Specific examples include photon-added coherent states, displaced and squeezed number states, and intermediate nG states from coherent and squeezed vacuum inputs. Furthermore, the protocol enables enhancement of non-Gaussianity and enlargement of Schrödinger cat (SC) states when ideal SC states are used as input. Our results provide an alternative route for conditional generation of tunable nG states, with potential applications in quantum information processing and state engineering.
我们介绍了一种通过后选弱测量产生非高斯态(nG)的协议。该方案涉及将任意量子态和单个光子注入具有三阶非线性介质的干涉仪的信号和空闲端口。在信号输出处有条件地产生一个nG态,由空闲输出通道中的单光子检测预示。该协议利用弱交叉克尔相互作用,通过弱值放大增强有效的单光子非线性。通过在实验可行的参数范围内调整空闲光子数算子的弱值,可以高保真地生成不同的nG态。具体的例子包括光子加入相干态,位移和压缩数态,以及相干和压缩真空输入的中间nG态。此外,当使用理想SC状态作为输入时,该协议可以增强非高斯性并扩大Schrödinger cat (SC)状态。我们的研究结果为条件生成可调nG状态提供了另一种途径,在量子信息处理和状态工程中具有潜在的应用前景。
{"title":"Non-Gaussian state preparation and enhancement using weak-value amplification","authors":"Xiao-Xi Yao, Yusuf Turek","doi":"10.1038/s41534-025-01176-w","DOIUrl":"https://doi.org/10.1038/s41534-025-01176-w","url":null,"abstract":"We introduce a protocol for generating non-Gaussian (nG) states via postselected weak measurement. The scheme involves injecting an arbitrary quantum state and a single photon into the signal and idler ports of an interferometer with a third-order nonlinear medium. An nG state is conditionally produced at the signal output, heralded by single-photon detection in an idler output channel. The protocol exploits a weak cross-Kerr interaction, with effective single-photon nonlinearity enhanced by weak-value amplification. By tuning the weak value of the idler photon number operator within experimentally feasible parameters, diverse nG states can be generated with high fidelity. Specific examples include photon-added coherent states, displaced and squeezed number states, and intermediate nG states from coherent and squeezed vacuum inputs. Furthermore, the protocol enables enhancement of non-Gaussianity and enlargement of Schrödinger cat (SC) states when ideal SC states are used as input. Our results provide an alternative route for conditional generation of tunable nG states, with potential applications in quantum information processing and state engineering.","PeriodicalId":19212,"journal":{"name":"npj Quantum Information","volume":"21 1","pages":""},"PeriodicalIF":7.6,"publicationDate":"2026-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145919918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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npj Quantum Information
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