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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
Robust and bright polarization-entangled photon sources exploiting non-critical phase matching without periodic poling 无需周期性极化即可利用非临界相位匹配的稳健而明亮的偏振纠缠光子源
Pub Date : 2024-09-12 DOI: arxiv-2409.07673
Ilhwan Kim, Yosep Kim, Yong-Su Kim, Kwang Jo Lee, Hyang-Tag Lim
Entangled photon sources are essential for quantum information applications,including quantum computation, quantum communication, and quantum metrology.Periodically poled (PP) crystals are commonly used to generate bright photonsources through quasi-phase matching. However, fabricating uniform micron-scaleperiodic structures poses significant technical difficulties, typicallylimiting the crystal thickness to less than a millimeter. Here, we adoptnon-critical phase matching to produce a robust and brightpolarization-entangled photon source based on a Sagnac interferometer. Thismethod is tolerant of variations in pump incidence angles and temperature, andtheoretically offers about a 2.5-fold brightness enhancement compared toquasi-phase matching. Additionally, the absence of periodic poling allows for alarger crystal cross-section. Using a bulk KTP crystal without a PP structure,we experimentally produce the four Bell states with a brightness of 25.1kHz/mW, achieving purity, concurrence, and fidelity values close to 0.99. Webelieve our scheme will serve as a key building block for scalable andpractical photonic quantum information applications.
纠缠光子源对于量子信息应用(包括量子计算、量子通信和量子计量学)来说至关重要。然而,制造均匀的微米级周期结构存在很大的技术难度,通常会将晶体厚度限制在一毫米以下。在这里,我们采用非临界相位匹配技术,在萨格纳克干涉仪的基础上制造出一种坚固而明亮的偏振纠缠光子源。这种方法能够承受泵浦入射角和温度的变化,理论上与类相位匹配相比,亮度可提高约 2.5 倍。此外,由于没有周期性极化,因此晶体横截面更大。通过使用无聚丙烯结构的块状 KTP 晶体,我们在实验中产生了亮度为 25.1kHz/mW 的四种贝尔态,纯度、一致性和保真度接近 0.99。我们相信,我们的方案将成为可扩展的实用光子量子信息应用的关键构件。
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引用次数: 0
Capturing magic angles in twisted bilayer graphene from information theory markers 从信息论标记捕捉扭曲双层石墨烯中的神奇角度
Pub Date : 2024-09-12 DOI: arxiv-2409.07935
Manuel Calixto, Alberto Mayorgas, Octavio Castaños
Zero energy eigenstates $psi_0(theta)$ of the twisted bilayer grapheneHamiltonian at the Dirac point show a high sensitivity to the twist angle$theta$ near the magic angles where the effective Fermi velocity vanishes. Weuse information theory markers, like fidelity-susceptibility and entanglemententropy of the reduced density matrix to the layer sector, to capture thisquantum criticality of zero modes at magic twist angles.
扭曲的双层石墨烯哈密顿在狄拉克点的零能特征状态$psi_0(theta)$在有效费米速度消失的神奇角度附近显示出对扭曲角度$theta$的高度敏感性。我们利用信息论的标记,如还原密度矩阵对层扇区的保真度-敏感性和纠缠熵,来捕捉神奇扭转角处零模式的量子临界性。
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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
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
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
Wavevector-resolved polarization entanglement from radiative cascades 来自辐射级联的波矢分辨偏振纠缠
Pub Date : 2024-09-12 DOI: arxiv-2409.07875
Alessandro Laneve, Michele B. Rota, Francesco Basso Basset, Mattia Beccaceci, Valerio Villari, Thomas Oberleitner, Yorick Reum, Tobias M. Krieger, Quirin Buchinger, Saimon F. Covre da Silva, Andreas Pfenning, Sandra Stroj, Sven Höfling, Armando Rastelli, Tobias Huber-Loyola, Rinaldo Trotta
The generation of entangled photons from radiative cascades has enabledmilestone experiments in quantum information science with several applicationsin photonic quantum technologies. Significant efforts are being devoted topushing the performances of near-deterministic entangled-photon sources basedon single quantum emitters often embedded in photonic cavities, so to boost theflux of photon pairs. The general postulate is that the emitter generatesphotons in a nearly maximally entangled state of polarization, ready forapplication purposes. Here, we demonstrate that this assumption is unjustified.We show that in radiative cascades there exists an interplay between photonpolarization and emission wavevector, strongly affecting quantum correlationswhen emitters are embedded in micro-cavities. We discuss how the polarizationentanglement of photon pairs from a biexciton-exciton cascade in quantum dotsstrongly depends on their propagation wavevector, and it can even vanish forlarge emission angles. Our experimental results, backed by theoreticalmodelling, yield a brand-new understanding of cascaded emission for variousquantum emitters. In addition, our model provides quantitative guidelines fordesigning optical microcavities that retain both a high degree of entanglementand collection efficiency, moving the community one step further towards anideal source of entangled photons for quantum technologies.
通过辐射级联产生纠缠光子使量子信息科学中的里程碑式实验得以实现,并在光子量子技术中得到了一些应用。为了提高光子对的流量,人们正在大力提高基于单量子发射器的近乎确定性的纠缠光子源的性能。一般的假设是,发射器产生的光子处于偏振的近最大纠缠状态,可随时用于应用目的。我们的研究表明,在辐射级联中,光子极化与发射波矢之间存在相互作用,当发射器嵌入微腔中时,会对量子相关性产生强烈影响。我们讨论了量子点中双猝灭子-猝灭子级联产生的光子对的偏振纠缠如何强烈地依赖于它们的传播波矢量,它甚至可以在大发射角时消失。我们的实验结果在理论模型的支持下,对各种量子发射器的级联发射产生了全新的理解。此外,我们的模型还为设计既能保持高度纠缠又能提高收集效率的光学微腔提供了定量指导,使量子技术界向纠缠光子的理想来源又迈进了一步。
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引用次数: 0
期刊
arXiv - PHYS - Quantum Physics
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