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Quantum Entanglement Allocation through a Central Hub 通过中央枢纽分配量子纠缠
Pub Date : 2024-09-12 DOI: arxiv-2409.08173
Yu-Ao Chen, Xia Liu, Chenghong Zhu, Lei Zhang, Junyu Liu, Xin Wang
Establishing a fully functional quantum internet relies on the efficientallocation of multipartite entangled states, which enables advanced quantumcommunication protocols, secure multipartite quantum key distribution, anddistributed quantum computing. In this work, we propose local operations andclassical communication (LOCC) protocols for allocating generalized $N$-qubit Wand GHZ states within a centralized hub architecture, where the central hubnode preshares Bell states with each end node. Our protocols deterministicallyand exactly distribute these states using only $N$ qubits of quantum memorywithin the central system, with communication costs of $2N - 2$ and $N$classical bits for W and GHZ states, respectively. These resource-efficientprotocols are further proven to be optimal within the centralized hubarchitecture, outperforming conventional teleportation protocols forentanglement distribution in both memory and communication costs. Our resultsprovide a more resource-efficient method for allocating essential multipartiteentangled states in quantum networks, paving the way for the realization of aquantum internet with enhanced efficiency.
建立一个功能完备的量子互联网有赖于多方纠缠态的高效分配,这使得先进的量子通信协议、安全的多方量子密钥分配和分布式量子计算成为可能。在这项工作中,我们提出了本地操作和经典通信(LOCC)协议,用于在集中式集线器架构内分配广义 $N$-qubit W 和 GHZ 状态,其中中央集线器节点与每个末端节点预共享贝尔状态。我们的协议只需使用中心系统内 $N$ 量子存储器的量子比特,就能确定并精确地分配这些状态,W 和 GHZ 状态的通信成本分别为 2N - 2$ 和 $N$ 经典比特。这些具有资源效率的协议被进一步证明是集中式集线器架构中的最优方案,在内存和通信成本方面都优于传统的远距传输协议。我们的研究结果为量子网络中基本多方纠缠态的分配提供了一种资源效率更高的方法,为实现效率更高的量子互联网铺平了道路。
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引用次数: 0
Demonstration of Scully-Drühl-type quantum erasers on quantum computers 量子计算机上的 Scully-Drühl 型量子擦除器演示
Pub Date : 2024-09-12 DOI: arxiv-2409.08053
Bo-Hung Chen, Dah-Wei Chiou, Hsiu-Chuan Hsu
We present a novel quantum circuit that genuinely implements theScully-Dr"uhl-type delayed-choice quantum eraser, where the two recorders ofthe which-way information directly interact with the signal qubit and remainspatially separated. Experiments conducted on IBM Quantum and IonQ processorsdemonstrate that the recovery of interference patterns, to varying degrees,aligns closely with theoretical predictions, despite the presence of systematicerrors. This quantum circuit-based approach, more manageable and versatile thantraditional optical experiments, facilitates arbitrary adjustment of theerasure and enables a true random choice in a genuine delayed-choice manner. Onthe IBM Quantum platform, delay gates can be employed to further defer therandom choice, thereby amplifying the retrocausal effect. Since gate operationsare executed sequentially in time, the system does not have any involvement ofrandom choice until after the signal qubit has been measured, thereforeeliminating any potential philosophical loopholes regarding retrocausality thatmight exist in other experimental setups. Remarkably, quantum erasure isachieved with delay times up to $sim1,mutext{s}$ without noticeabledecoherence, a feat challenging to replicate in optical setups.
我们提出了一种新型量子电路,它真正实现了斯cully-Dr"uhl 型延迟选择量子擦除器,其中两个方向信息记录器直接与信号量子比特相互作用,并保持空间上的分离。在 IBM 量子和 IonQ 处理器上进行的实验表明,尽管存在系统误差,但干扰模式的恢复在不同程度上与理论预测非常吻合。这种基于量子电路的方法比传统的光学实验更易于管理,用途更广,便于任意调整测量值,并能以真正的延迟选择方式实现真正的随机选择。在 IBM 量子平台上,可以使用延迟门来进一步延迟随机选择,从而放大回溯效应。由于门操作是在时间上按顺序执行的,因此系统在测量信号量子比特之前不会涉及任何随机选择,从而消除了其他实验装置中可能存在的有关逆因性的潜在哲学漏洞。值得注意的是,量子擦除的延迟时间可达$sim1mutext{s}$,而不会注意到相干性,这在光学装置中是难以复制的。
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引用次数: 0
Contrasting Statistical Phase Estimation with the Variational Quantum Eigensolver in the era of Early Fault Tolerant Quantum Computation 早期容错量子计算时代的统计相位估计与变异量子求解器的对比
Pub Date : 2024-09-12 DOI: arxiv-2409.07749
Ming-Zhi Chung, Andreas Thomasen, Henry Liao, Ryosuke Imai
In this review, we give an overview of the proposed applications in theearly-FTQC (EFTQC) era. Starting from the error correction architecture for EFTQC device, we firstreview the recently developed space-time efficient analogue rotation (STAR)architecture cite{akahoshiPartiallyFaultTolerantQuantum2024}, which is apartially fault-tolerant error correction architecture. Then, we review the requirements of an EFTQC algorithm. In particular, the class of ground state energy estimation (GSEE) algorithmknown as the statistical phase estimation algorithm (SPE) is studied. We especially cast our attention on two SPE-type algorithms, thestep-function filter-based variant by Lin and Tong (LT22) cite{Lin:2021rwb}and Gaussian Filter cite{Wang:2022gxu}. Based on the latter, we introduce the Gaussian Fitting algorithm, which usesan alternative post-processing procedure compared to cite{Wang:2022gxu}. Finally, we systematically simulate the aforementioned algorithms andVariational Quantum Eigensolver (VQE) using the 1-uCJ ansatz with differentshot counts. Most importantly, we perform noisy simulations based on the STARarchitecture. We find that for estimating the ground state energy of the 4-qubit $H_2$Hamiltonian in the STO-3G basis, SPE becomes more advantageous over VQE whenthe physical error rate is sufficiently low.
在这篇综述中,我们概述了在早期 FTQC(EFTQC)时代提出的应用。从 EFTQC 器件的纠错架构开始,我们首先回顾了最近开发的时空高效模拟旋转(STAR)架构(cite{akahoshiPartiallyFaultTolerantQuantum2024}),这是一种局部容错的纠错架构。然后,我们回顾了 EFTQC 算法的要求。特别是,我们研究了一类被称为统计相位估计算法(SPE)的基态能量估计(GSEE)算法。我们特别关注了两种SPE类型的算法,即Lin和Tong(LT22)基于阶跃函数滤波器的变体(LT22)和高斯滤波器(Gaussian Filter)。在后者的基础上,我们引入了高斯拟合算法,该算法与 (cite{Wang:2022gxu}相比使用了另一种后处理程序。最后,我们系统地模拟了上述算法和变分量子求解器(VQE),使用的是具有不同射数的 1-uCJ 解析。最重要的是,我们基于 STAR 架构进行了噪声模拟。我们发现,当物理误差率足够低时,在估算STO-3G 基础上的 4 量子位 $H_2$Hamiltonian 的基态能量时,SPE 比 VQE 更有优势。
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引用次数: 0
Acoustic higher-order topological insulator from momentum-space nonsymmorphic symmetries 从动量空间非非晶对称性看声学高阶拓扑绝缘体
Pub Date : 2024-09-12 DOI: arxiv-2409.08196
Jinbing Hu, Kai Zhou, Tianle Song, Xuntao Jiang, Songlin Zhuang, Yi Yang
Momentum-space nonsymmorphic symmetries, stemming from the projective algebraof synthetic gauge fields, can modify the manifold of the Brillouin zone andlead to a variety of topological phenomena. We present an acoustic realizationof higher-order topological insulators (HOTIs) protected by a pair ofanticommutative momentum-space glide reflections. We confirm the presence ofmomentum-space glide reflection from the measured momentum half translation ofedge bands and their momentum-resolved probability distribution using acylinder geometry made of acoustic resonator arrays. In particular, we observeboth intrinsic and extrinsic HOTI features in such a cylinder: hopping strengthvariation along the open boundary leads to a bulk gap closure, while that alongthe closed boundary results in an edge gap closure. In addition, we confirm thepresence of quadrupole corner modes with transmission and field distributionmeasurements. Our observation enriches the study of topological physics ofmomentum-space nonsymmorphic symmetries.
动量空间非非定常对称性源于合成规量场的投影代数,可以改变布里渊区的流形,并导致各种拓扑现象。我们提出了一种高阶拓扑绝缘体(HOTIs)的声学实现,它受到一对互变动量空间滑行反射的保护。我们利用由声学谐振器阵列构成的气缸几何结构,通过测量边带的动量半平移及其动量分辨概率分布,证实了动量空间滑行反射的存在。特别是,我们在这样的圆柱体中观察到了内在和外在的 HOTI 特征:沿开放边界的跳变强度变化导致了体隙闭合,而沿封闭边界的跳变强度变化则导致了边隙闭合。此外,我们还通过透射和场分布测量证实了四极角模式的存在。我们的观察结果丰富了对动量空间非非对称对称性拓扑物理学的研究。
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引用次数: 0
Group delay controlled by the decoherence of a single artificial atom 由单个人造原子的退相干控制的群延迟
Pub Date : 2024-09-12 DOI: arxiv-2409.07731
Y. -T. Cheng, K. -M. Hsieh, B. -Y. Wu, Z. Q. Niu, F. Aziz, Y. -H. Huang, P. Y. Wen, K. -T. Lin, Y. -H. Lin, J. C. Chen, A. F. Kockum, G. -D. Lin, Z. -R. Lin, Y. Lu, I. -C. Hoi
The ability to slow down light at the single-photon level has applications inquantum information processing and other quantum technologies. We demonstratetwo methods, both using just a single artificial atom, enabling dynamic controlover microwave light velocities in waveguide quantum electrodynamics (waveguideQED). Our methods are based on two distinct mechanisms harnessing the balancebetween radiative and non-radiative decay rates of a superconducting artificialatom in front of a mirror. In the first method, we tune the radiative decay ofthe atom using interference effects due to the mirror; in the second method, wepump the atom to control its non-radiative decay through the Autler--Towneseffect. When the half the radiative decay rate exceeds the non-radiative decayrate, we observe positive group delay; conversely, dominance of thenon-radiative decay rate results in negative group delay. Our results advancesignal-processing capabilities in waveguide QED.
在单光子层面减缓光速的能力可应用于量子信息处理和其他量子技术。我们展示了波导量子电动力学(waveguideQED)中动态控制微波光速的两种方法,这两种方法都只使用了一个人造原子。我们的方法基于两种不同的机制,利用镜面前超导人工原子的辐射衰变率和非辐射衰变率之间的平衡。在第一种方法中,我们利用镜子产生的干涉效应来调节原子的辐射衰变;在第二种方法中,我们通过Autler--Townese效应来控制原子的非辐射衰变。当辐射衰变率超过非辐射衰变率的一半时,我们观察到正的群延迟;反之,非辐射衰变率占主导地位会导致负的群延迟。我们的研究结果推进了波导 QED 的信号处理能力。
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引用次数: 0
Optimizing Qubit Control Pulses for State Preparation 优化用于状态准备的 Qubit 控制脉冲
Pub Date : 2024-09-12 DOI: arxiv-2409.08204
Annika S. Wiening, Joern Bergendahl, Vicente Leyton-Ortega, Peter Nalbach
In the burgeoning field of quantum computing, the precise design andoptimization of quantum pulses are essential for enhancing qubit operationfidelity. This study focuses on refining the pulse engineering techniques forsuperconducting qubits, employing a detailed analysis of Square and Gaussianpulse envelopes under various approximation schemes. We evaluated the effectsof coherent errors induced by naive pulse designs. We identified the sources ofthese errors in the Hamiltonian model's approximation level. We mitigated theseerrors through adjustments to the external driving frequency and pulsedurations, thus, implementing a pulse scheme with stroboscopic error reduction.Our results demonstrate that these refined pulse strategies improve performanceand reduce coherent errors. Moreover, the techniques developed herein areapplicable across different quantum architectures, such as ion-trap, atomic,and photonic systems.
在方兴未艾的量子计算领域,量子脉冲的精确设计和优化对于提高量子比特的运行保真度至关重要。这项研究的重点是完善超导量子比特的脉冲工程技术,采用了对各种近似方案下的方形和高斯脉冲包络的详细分析。我们评估了天真的脉冲设计所引起的相干误差的影响。我们确定了哈密顿模型近似水平中这些误差的来源。我们通过调整外部驱动频率和脉冲配置来减轻这些误差,从而实现了减少频闪误差的脉冲方案。此外,本文开发的技术适用于不同的量子架构,如离子阱、原子和光子系统。
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引用次数: 0
A Vision for a Bohm-Style Theory of Quantum Electrodynamics 对博姆式量子电动力学理论的展望
Pub Date : 2024-09-12 DOI: arxiv-2409.07784
Roderich Tumulka
Despite many successes of quantum electrodynamics (QED), we do not presentlyhave a good understanding of this field of physics. QED has all of thefoundational problems that standard non-relativistic quantum mechanics has, andfurther ones in addition. I discuss some of these problems and some options forwhat a Bohm-style theory of QED, with an ontology in space and time, could looklike. I also point out why the proposal made by Bohm himself in 1952 for QED isnot quite convincing. Finally, I outline the kind of Bohm-type theory of QEDthat I would consider convincing, and report about recent progress toward thiskind of theory.
尽管量子电动力学(QED)取得了许多成功,但我们目前对这一物理学领域还没有很好的理解。量子电动力学存在标准非相对论量子力学所存在的所有基础问题,此外还有更多问题。我将讨论其中的一些问题,以及具有时空本体论的博姆式 QED 理论的一些方案。我还指出了为什么玻姆本人在 1952 年为 QED 提出的建议不太令人信服。最后,我概述了我认为令人信服的博姆式 QED 理论,并报告了最近朝着这种理论取得的进展。
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引用次数: 0
Leveraging non-unital noise for gate-based quantum reservoir computing 利用非数字噪声实现基于门的量子存储计算
Pub Date : 2024-09-12 DOI: arxiv-2409.07886
Francesco Monzani, Emanuele Ricci, Luca Nigro, Enrico Prati
We identify a noise model that ensures the functioning of an echo statenetwork employing a gate-based quantum computer for reservoir computingapplications. Energy dissipation induced by amplitude damping drasticallyimproves the short-term memory capacity and expressivity of the network, bysimultaneously providing fading memory and richer dynamics. There is an idealdissipation rate that ensures the best operation of the echo state networkaround $gammasim$ 0.03. Nevertheless, these beneficial effects are stable asthe intensity of the applied noise increases. The improvement of the learningis confirmed by emulating a realistic noise model applied to superconductingqubits, paving the way for the application of reservoir computing methods incurrent non-fault-tolerant quantum computers.
我们确定了一种噪声模型,它能确保采用基于门的量子计算机的回声状态网络在储层计算应用中正常运行。振幅阻尼引起的能量耗散极大地改善了网络的短期记忆容量和表达能力,同时提供了衰减记忆和更丰富的动态。有一个理想的衰减率可以确保回声态网络在 0.03 美元左右达到最佳运行状态。尽管如此,当应用噪声的强度增加时,这些有益的效果是稳定的。通过模拟应用于超导量子比特的现实噪声模型,证实了学习能力的提高,为当前非容错量子计算机中储计算方法的应用铺平了道路。
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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
期刊
arXiv - PHYS - Quantum Physics
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