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Near-optimal coherent state discrimination via continuously labelled non-Gaussian measurements 通过连续标记的非高斯测量实现近乎最佳的相干状态判别
Pub Date : 2024-09-12 DOI: arxiv-2409.08032
James Moran, Spiros Kechrimparis, Hyukjoon Kwon
Quantum state discrimination plays a central role in quantum information andcommunication. For the discrimination of optical quantum states, the two mostwidely adopted measurement techniques are photon detection, which producesdiscrete outcomes, and homodyne detection, which produces continuous outcomes.While various protocols using photon detection have been proposed for optimaland near-optimal discrimination between two coherent states, homodyne detectionis known to have higher error rates, with its performance often referred to asthe Gaussian limit. In this work, we demonstrate that, despite the fundamentaldifferences between discretely labelled and continuously labelled measurements,continuously labelled non-Gaussian measurements can also achieve near-optimalcoherent state discrimination. We explicitly design two coherent statediscrimination protocols based on non-Gaussian unitary operations combined withhomodyne detection and orthogonal polynomials, which surpass the Gaussianlimit. Our results show that photon detection is not required for near-optimalcoherent state discrimination and that we can achieve error rates close to theHelstrom bound at low energies with continuously labelled measurements. We alsofind that our schemes maintain an advantage over the photon detection-basedKennedy receiver for a moderate range of coherent state amplitudes.
量子态鉴别在量子信息和通信中发挥着核心作用。对于光量子状态的判别,目前最广泛采用的两种测量技术是光子探测和同调探测,前者产生离散结果,后者产生连续结果。在这项工作中,我们证明,尽管离散标记测量和连续标记测量之间存在根本差异,但连续标记的非高斯测量也能实现接近最优的相干状态判别。我们明确设计了两种基于非高斯单元运算的相干声明判别协议,并将其与全息检测和正交多项式相结合,从而超越了高斯极限。我们的研究结果表明,接近最优的相干状态判别并不需要光子检测,而且我们可以通过连续标记的测量在低能量时实现接近海尔斯特伦约束的误差率。我们还发现,与基于光子探测的肯尼迪接收器相比,我们的方案在中等相干态振幅范围内保持了优势。
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引用次数: 0
Correlated quantum machines beyond the standard second law 超越标准第二定律的相关量子机器
Pub Date : 2024-09-12 DOI: arxiv-2409.07899
Milton Aguilar, Eric Lutz
The laws of thermodynamics strongly restrict the performance of thermalmachines. Standard thermodynamics, initially developed for uncorrelatedmacroscopic systems, does not hold for microscopic systems correlated withtheir environments. We here derive exact generalized laws of quantumthermodynamics for arbitrary, time-periodic, open systems that account for allpossible correlations between all involved parties. We demonstrate theexistence of two basic modes of engine operation: the usual thermal case, whereheat is converted into work, and a novel athermal regime, where work isextracted from entropic resources, such as system-bath correlations. In thelatter regime, the efficiency of a quantum engine is not bounded by the usualCarnot formula. Our results provide a unified formalism to determine theefficiency of correlated microscopic thermal devices.
热力学定律极大地限制了热机的性能。标准热力学最初是针对不相关的微观系统而开发的,但对于与其环境相关的微观系统却不适用。我们在此推导出适用于任意、时间周期性、开放系统的精确广义量子热力学定律,这些定律考虑了所有参与方之间可能存在的相关性。我们证明了发动机运行的两种基本模式:一种是通常的热模式,即热量转化为功;另一种是新颖的非热模式,即从熵资源(如系统与水浴的相关性)中提取功。在后一种情况下,量子引擎的效率不受通常的卡诺公式约束。我们的结果为确定相关微观热器件的效率提供了统一的形式主义。
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引用次数: 0
Quantum thermodynamics as a gauge theory 作为量规理论的量子热力学
Pub Date : 2024-09-12 DOI: arxiv-2409.07676
Gabriel Fernandez Ferrari, Łukasz Rudnicki, Lucas Chibebe Céleri
Thermodynamics is based on a coarse-grained approach, from which itsfundamental variables emerge, effectively erasing the complicate details of themicroscopic dynamics within a macroscopic system. The strength ofThermodynamics lies in the universality provided by this paradigm. In contrast,quantum mechanics focuses on describing the dynamics of microscopic systems,aiming to make predictions about experiments we perform, a goal shared by allfundamental physical theories, which are often framed as gauge theories inmodern physics. Recently, a gauge theory for quantum thermodynamics wasintroduced, defining gauge invariant work and heat, and exploring theirconnections to quantum phenomena. In this work, we extend that theory in twosignificant ways. First, we incorporate energy spectrum degeneracies, whichwere previously overlooked. Additionally, we define gauge-invariant entropy,exploring its properties and connections to other physical and informationalquantities. This results in a complete framework for quantum thermodynamicsgrounded in the principle of gauge invariance. To demonstrate some implicationsof this theory, we apply it to well-known critical systems.
热力学以粗粒度方法为基础,其基本变量由此产生,有效地消除了宏观系统中微观动力学的复杂细节。热力学的优势在于这种范式所提供的普遍性。与此相反,量子力学侧重于描述微观系统的动力学,旨在对我们所做的实验进行预测,这是所有基本物理理论的共同目标,在现代物理学中,这些理论通常被称为量规理论。最近,有人提出了量子热力学的量规理论,定义了量规不变功和热,并探讨了它们与量子现象的联系。在这项工作中,我们以两种重要方式扩展了这一理论。首先,我们纳入了能谱退行性,这在以前是被忽视的。此外,我们定义了量规不变熵,探讨了它的性质以及与其他物理量和信息量的联系。这就形成了以规整不变性原理为基础的量子热力学的完整框架。为了证明这一理论的某些意义,我们将其应用于著名的临界系统。
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引用次数: 0
Towards Scalable Quantum Key Distribution: A Machine Learning-Based Cascade Protocol Approach 实现可扩展的量子密钥分发:基于机器学习的级联协议方法
Pub Date : 2024-09-12 DOI: arxiv-2409.08038
Hasan Abbas Al-Mohammed, Saif Al-Kuwari, Hashir Kuniyil, Ahmed Farouk
Quantum Key Distribution (QKD) is a pivotal technology in the quest forsecure communication, harnessing the power of quantum mechanics to ensurerobust data protection. However, scaling QKD to meet the demands of high-speed,real-world applications remains a significant challenge. Traditional key ratedetermination methods, dependent on complex mathematical models, often fallshort in efficiency and scalability. In this paper, we propose an approach thatinvolves integrating machine learning (ML) techniques with the Cascade errorcorrection protocol to enhance the scalability and efficiency of QKD systems.Our ML-based approach utilizes an autoencoder framework to predict the QuantumBit Error Rate (QBER) and final key length with over 99% accuracy. This methodsignificantly reduces error correction time, maintaining a consistently lowcomputation time even with large input sizes, such as data rates up to 156Mbps. In contrast, traditional methods exhibit exponentially increasingcomputation times as input sizes grow, highlighting the superior scalability ofour ML-based solution. Through comprehensive simulations, we demonstrate thatour method not only accelerates the error correction process but also optimizesresource utilization, making it more cost-effective and practical forreal-world deployment. The Cascade protocol's integration further enhancessystem security by dynamically adjusting error correction based on real-timeQBER observations, providing robust protection against potential eavesdropping. Our research establishes a new benchmark for scalable, high-throughput QKDsystems, proving that machine learning can significantly advance the field ofquantum cryptography. This work continues the evolution towards truly scalablequantum communication.
量子密钥分发(QKD)是实现安全通信的关键技术,它利用量子力学的力量确保数据得到可靠保护。然而,如何扩展 QKD 以满足高速实际应用的需求仍然是一项重大挑战。传统的密钥评级确定方法依赖于复杂的数学模型,在效率和可扩展性方面往往力不从心。在本文中,我们提出了一种将机器学习(ML)技术与级联纠错协议相结合的方法,以提高 QKD 系统的可扩展性和效率。我们基于 ML 的方法利用自动编码器框架来预测量子比特错误率(QBER)和最终密钥长度,准确率超过 99%。这种方法大大缩短了纠错时间,即使输入数据量很大,如数据传输速率高达 156Mbps,也能保持持续较低的计算时间。相比之下,传统方法的计算时间会随着输入大小的增加而呈指数级增长,这凸显了我们基于 ML 的解决方案优越的可扩展性。通过全面的仿真,我们证明了我们的方法不仅能加快纠错过程,还能优化资源利用率,使其在现实世界的部署中更具成本效益和实用性。Cascade 协议的集成可根据实时 QBER 观察结果动态调整纠错,从而进一步增强系统安全性,为防止潜在窃听提供了强有力的保护。我们的研究为可扩展、高吞吐量 QKD 系统确立了新的基准,证明机器学习可以极大地推动量子密码学领域的发展。这项工作将继续推动真正可扩展量子通信的发展。
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引用次数: 0
C3-VQA: Cryogenic Counter-based Co-processor for Variational Quantum Algorithms C3-VQA:基于低温计数器的变分量子算法协处理器
Pub Date : 2024-09-12 DOI: arxiv-2409.07847
Yosuke Ueno, Satoshi Imamura, Yuna Tomida, Teruo Tanimoto, Masamitsu Tanaka, Yutaka Tabuchi, Koji Inoue, Hiroshi Nakamura
Cryogenic quantum computers play a leading role in demonstrating quantumadvantage. Given the severe constraints on the cooling capacity in cryogenicenvironments, thermal design is crucial for the scalability of these computers.The sources of heat dissipation include passive inflow via inter-temperaturewires and the power consumption of components located in the cryostat, such aswire amplifiers and quantum-classical interfaces. Thus, a critical challenge isto reduce the number of wires by reducing the required inter-temperaturebandwidth while maintaining minimal additional power consumption in thecryostat. One solution to address this challenge is near-data processing usingultra-low-power computational logic within the cryostat. Based on the workloadanalysis and domain-specific system design focused on Variational QuantumAlgorithms (VQAs), we propose the Cryogenic Counter-based Co-processor for VQAs(C3-VQA) to enhance the design scalability of cryogenic quantum computers underthe thermal constraint. The C3-VQA utilizes single-flux-quantum logic, which isan ultra-low-power superconducting digital circuit that operates at the 4 Kenvironment. The C3-VQA precomputes a part of the expectation valuecalculations for VQAs and buffers intermediate values using simple bitoperation units and counters in the cryostat, thereby reducing the requiredinter-temperature bandwidth with small additional power consumption.Consequently, the C3-VQA reduces the number of wires, leading to a reduction inthe total heat dissipation in the cryostat. Our evaluation shows that theC3-VQA reduces the total heat dissipation at the 4 K stage by 30% and 81% undersequential-shot and parallel-shot execution scenarios, respectively.Furthermore, a case study in quantum chemistry shows that the C3-VQA reducestotal heat dissipation by 87% with a 10,000-qubit system.
低温量子计算机在展示量子优势方面发挥着主导作用。散热来源包括通过温度间导线的无源流入以及低温恒温器中组件的功耗,如导线放大器和量子经典接口。因此,一个关键的挑战是通过减少所需的温间带宽来减少导线数量,同时保持恒温器内最小的额外功耗。应对这一挑战的一个解决方案是在恒温器内使用超低功耗计算逻辑进行近数据处理。基于对变分量子算法(VQAs)的工作量分析和特定领域的系统设计,我们提出了基于低温计数器的 VQAs 协处理器(C3-VQA),以增强低温量子计算机在热约束下的设计可扩展性。C3-VQA 利用单流量子逻辑,这是一种在 4 Ken 环境下工作的超低功耗超导数字电路。C3-VQA 对 VQA 的部分期望值计算进行了预计算,并使用低温恒温器中的简单位操作单元和计数器对中间值进行了缓冲,从而以较小的额外功耗降低了所需的温间带宽。我们的评估结果表明,C3-VQA 在连续运行和并行运行的情况下,将 4 K 阶段的总散热量分别降低了 30% 和 81%。此外,一项量子化学案例研究表明,C3-VQA 在 10,000 量子位系统中将总散热量降低了 87%。
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引用次数: 0
Low-overhead magic state distillation with color codes 带颜色代码的低成本魔态蒸馏
Pub Date : 2024-09-12 DOI: arxiv-2409.07707
Seok-Hyung Lee, Felix Thomsen, Nicholas Fazio, Benjamin J. Brown, Stephen D. Bartlett
Fault-tolerant implementation of non-Clifford gates is a major challenge forachieving universal fault-tolerant quantum computing with quantumerror-correcting codes. Magic state distillation is the most well-studiedmethod for this but requires significant resources. Hence, it is crucial totailor and optimize magic state distillation for specific codes from bothlogical- and physical-level perspectives. In this work, we perform suchoptimization for two-dimensional color codes, which are promising due to theirhigher encoding rates compared to surface codes, transversal implementation ofClifford gates, and efficient lattice surgery. We propose two distillationschemes based on the 15-to-1 distillation circuit and lattice surgery, whichdiffer in their methods for handling faulty rotations. Our first scheme usesfaulty T-measurement, offering resource efficiency when the target infidelityis above a certain threshold ($sim 35p^3$ for physical error rate $p$). Toachieve lower infidelities while maintaining resource efficiency, our secondscheme exploits a distillation-free fault-tolerant magic state preparationprotocol, achieving significantly lower infidelities (e.g., $sim 10^{-19}$ for$p = 10^{-4}$) than the first scheme. Notably, our schemes outperform the bestexisting magic state distillation methods for color codes by up to about twoorders of magnitude in resource costs for a given achievable target infidelity.
非克里福德门的容错实现是利用量子纠错码实现通用容错量子计算的一大挑战。魔态蒸馏是这方面研究最深入的方法,但需要大量资源。因此,从逻辑和物理两个层面对特定代码的魔态蒸馏进行分析和优化至关重要。在这项工作中,我们针对二维颜色编码进行了这种优化,由于二维颜色编码与表面编码相比具有更高的编码率、克利福德门的横向实现和高效的晶格手术,因此很有前途。我们提出了两种基于 15 对 1 蒸馏电路和晶格手术的蒸馏方案,它们在处理错误旋转的方法上有所不同。我们的第一种方案使用故障 T 测量,当目标失真度超过一定阈值(物理错误率为 $p$时为 $sim 35p^3$)时,可提供资源效率。为了在保持资源效率的同时实现更低的不忠度,我们的第二方案利用了无蒸馏容错魔态准备协议,实现了比第一方案更低的不忠度(例如,在p=10^{-4}$时为$sim 10^{-19}$)。值得注意的是,对于给定的可实现目标不保真度,我们的方案在资源成本上要比现有最好的颜色代码魔态蒸馏方法高出两个数量级。
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引用次数: 0
Simulating anharmonic vibrational polaritons beyond the long wavelength approximation 超越长波长近似模拟非谐振动极化子
Pub Date : 2024-09-12 DOI: arxiv-2409.07992
Dipti Jasrasaria, Arkajit Mandal, David R. Reichman, Timothy C. Berkelbach
In this work we investigate anharmonic vibrational polaritons formed due tostrong light-matter interactions in an optical cavity between radiation modesand anharmonic vibrations beyond the long-wavelength limit. We introduce aconceptually simple description of light-matter interactions, where spatiallylocalized cavity radiation modes couple to localized vibrations. Within thistheoretical framework, we employ self-consistent phonon theory and vibrationaldynamical mean-field theory to efficiently simulate momentum-resolvedvibrational-polariton spectra, including effects of anharmonicity. Numericalsimulations in model systems demonstrate the accuracy and applicability of ourapproach.
在这项工作中,我们研究了由于光腔中辐射模式与超越长波极限的非谐振动之间强烈的光物质相互作用而形成的非谐振动极化子。我们介绍了一种概念上简单的光物质相互作用描述,即空间定位的腔体辐射模式与定位振动耦合。在这一理论框架内,我们采用自洽声子理论和振动动力学均场理论,有效地模拟了动量分辨振动-极化子光谱,包括非谐波效应。在模型系统中进行的数值模拟证明了我们方法的准确性和适用性。
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引用次数: 0
Quantum Information Resources in Spin-1 Heisenberg Dimer Systems 自旋-1 海森堡二聚体系统中的量子信息资源
Pub Date : 2024-09-12 DOI: arxiv-2409.08082
Fadwa Benabdallah, M. Y. Abd-Rabbou, Mohammed Daoud, Saeed Haddadi
We explore the quantum information resources within bipartite pure and mixedstates of the quantum spin-1 Heisenberg dimer system, considering someinteresting factors such as the $l_{1}$-norm of quantum coherence, relativecoherence, entanglement, and steering, influenced by the magnetic field anduniaxial single-ion anisotropy. Through a thorough investigation, we derive thesystem's density operator at thermal equilibrium and establish a mathematicalframework for analyzing quantum correlation metrics. Our results unveil thesystem's behavior at absolute zero temperature, revealing quantumantiferromagnetic, ferromagnetic, and ferrimagnetic phase transitions governedby the magnetic field and anisotropy parameters. We further observetemperature's role in transitioning the system towards classical states,impacting coherence, entanglement, and steering differently. Notably, we findthat increasing the exchange anisotropy parameter can reinforce quantumcorrelations while adjusting the uniaxial single-ion anisotropy parameterinfluences the system's quantumness, particularly when positive. Somerecommendations to maximize quantum coherence, entanglement, and steeringinvolve temperature reduction, increasing the exchange anisotropy parameter,and carefully managing the magnetic field and uniaxial single-ion anisotropyparameter, highlighting the intricate interplay between these factors inmaintaining the system's quantum properties.
我们探讨了量子自旋-1 海森堡二聚体系统的二元纯态和混合态中的量子信息资源,考虑了一些有趣的因素,如量子相干性的 $l_{1}$正态、相对相干性、纠缠和转向,这些因素受到磁场和单轴单离子各向异性的影响。通过深入研究,我们得出了该系统在热平衡时的密度算子,并建立了分析量子相关度量的数学框架。我们的研究结果揭示了该系统在绝对零度下的行为,揭示了受磁场和各向异性参数支配的量子反铁磁、铁磁和铁磁相变。我们进一步观察到温度在系统向经典态过渡时的作用,它对相干性、纠缠和转向的影响各不相同。值得注意的是,我们发现增加交换各向异性参数可以加强量子相关性,而调整单轴单离子各向异性参数则会影响系统的量子性,尤其是在正值时。要最大限度地提高量子相干性、纠缠性和转向性,一些建议包括降低温度、增加交换各向异性参数,以及仔细管理磁场和单轴单离子各向异性参数,这凸显了这些因素在维持系统量子特性方面错综复杂的相互作用。
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引用次数: 0
Exotic localization for the two body bound states in the non-reciprocal Hubbard model 非互惠哈伯德模型中两体束缚态的异域定位
Pub Date : 2024-09-12 DOI: arxiv-2409.07883
Huan-Yu Wang, Ji Li, Wu-Ming Liu, Lin Wen, Xiao-Fei Zhang
We investigate the localization behavior of two-body Hubbard model in thepresence of non-reciprocal tunneling, where the interaction induced Andersonlocalization competes with the non-Hermitian skin effects and gives rise todiverse patterns of density profiles. Here, we present the non-Hermitian boundstates obtained with the center of mass methods in the conditions of strongrepulsive interaction, where a faded diagonal line localization is observed.While for the continuum limit, the non-Hermitian skin effects are manifested bynon-zero windings of the eigen-energy spectrum. For the moderate interactionstrength, it is illustrated that the system possesses multiple Lyapunovexponents due to the competence above and as a consequence, in sharp contrastto the corner localization, the two-body non-Hermitian continuum states canexhibit multiple localization center. By further including two-photontunneling, topological nontrivial photon bound pairs can be obtained. Finally,the experimental simulations are proposed based on the platforms of theelectrical circuit lattices.
我们研究了双体哈伯德模型在非互斥隧道作用下的局域化行为,在这种情况下,相互作用诱导的安德森局域化与非赫米蒂皮肤效应竞争,并产生了密度剖面的不同模式。在这里,我们介绍了在强反冲作用条件下用质心法得到的非ermitian 边界态,在这种情况下可以观察到褪色的对角线局域化,而对于连续极限,非ermitian 皮肤效应表现为特征能谱的非零缠绕。在中等相互作用强度下,由于上述能力,系统具有多个 Lyapunovexponents,因此,与角局域化形成鲜明对比的是,二体非ermitian 连续态可以表现出多个局域化中心。通过进一步加入双光子隧道,可以得到拓扑非难光子束缚对。最后,提出了基于电路晶格平台的实验模拟。
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引用次数: 0
Quantum hacking: Induced-photorefraction attack on a practical continuous-variable quantum key distribution system 量子黑客:对实用连续可变量子密钥分发系统的诱导光分攻击
Pub Date : 2024-09-12 DOI: arxiv-2409.08017
Yiliang Wang, Yi Zheng, Chenlei Fang, Haobin Shi, Wei Pan
We explore a new security loophole in a practical continuous-variable quantumkey distribution (CVQKD) system, which is opened by the photorefractive effectof lithium niobate-based (LN-based) modulators. By exploiting this loophole, wepropose a quantum hacking strategy, i.e., the induced-photorefraction attack,which utilizes the induced photorefraction on the LN-based modulators to hidethe classical intercept-resend attack. Specifically, we show that the inducedphotorefraction can bias the response curve of the LN-based modulator, whichwill affect the intensity of the modulated signal. Based on the investigationof the channel parameter estimation under above influence, we further analyzethe secret key rate of the practical CVQKD system. The simulation resultsindicate that the communication parties will overestimate the secret key rate,which reveals that Eve can actively open the above loophole by launching theinduced-photorefraction attack to successfully obtain the secret keyinformation. To defend against this attack, we can use a random monitoringscheme for modulation variance to determine this attack, and use an improvingoptical power limiter to effectively mitigate the irradiation beam. Apart fromthese countermeasures, we also propose using the Sagnac-based IM to stabilizethe practical CVQKD system, which can minimize the above effects.
我们探索了实用连续可变量子密钥分发(CVQKD)系统中的一个新安全漏洞,它是由铌酸锂基(LN)调制器的光折射效应打开的。利用这一漏洞,我们提出了一种量子黑客攻击策略,即诱导光折射攻击,它利用铌酸锂基调制器的诱导光折射效应来隐藏经典的拦截-发送攻击。具体来说,我们证明了诱导光折射会使基于 LN 的调制器的响应曲线产生偏差,从而影响调制信号的强度。基于对上述影响下信道参数估计的研究,我们进一步分析了实用 CVQKD 系统的密钥速率。仿真结果表明,通信双方会高估秘钥率,这揭示了夏娃可以通过发动诱导光折射攻击来主动打开上述漏洞,从而成功获取秘钥信息。为了抵御这种攻击,我们可以使用调制方差随机监测方案来判断这种攻击,并使用改进型光功率限制器来有效缓解辐照光束。除上述对策外,我们还建议使用基于 Sagnac 的 IM 来稳定实用的 CVQKD 系统,从而将上述影响降至最低。
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引用次数: 0
期刊
arXiv - PHYS - Quantum Physics
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