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Dynamical coherence measures 动态相干测量
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-10-23 DOI: 10.1007/s11128-026-05375-y
Anna Vershynina

We present three measures of the dynamical coherence of channels, which generalize several previous results. The measures are based on a generalized distance-like function between channels, such as a quantum divergence of channels, including the relative entropy and diamond distance. Free operations are considered to be detection-incoherent, creation-incoherent, and detection-creation incoherent. We consider free superchannels constructed from free pre- and post-processing channels. The new measures are monotone under free superchannels and convex.

我们提出了通道动态相干性的三种测量方法,它们推广了以前的一些结果。这些措施是基于通道之间的广义类距离函数,如通道的量子散度,包括相对熵和钻石距离。自由操作被认为是检测-不相干、创建-不相干和检测-创建-不相干。我们考虑由自由的预处理通道和后处理通道构成的自由超通道。新测度在自由超通道和凸条件下是单调的。
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引用次数: 0
Evolutionary stability and payoff equivalence in an Eisert–Wilkens–Lewenstein quantum game Eisert-Wilkens-Lewenstein量子博弈中的进化稳定性和收益等价
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-10-23 DOI: 10.1007/s11128-026-05373-0
Azhar Iqbal, Derek Abbott

An evolutionarily stable strategy (ESS) is a strategy that, once adopted by a population, cannot be invaded by any sufficiently rare alternative (mutant) strategy. We analyze evolutionary stability in an Eisert–Wilkens–Lewenstein (EWL) quantization of a symmetric (2times 2) coordination game, whose classical mixed equilibrium (p^*=1/2) is not an ESS. In the restricted two-parameter EWL strategy space, the corresponding quantum strategy is a strict symmetric Nash equilibrium and an ESS for every entanglement strength (gamma >0). In the full SU(2) strategy space it remains a Nash equilibrium, but in the unreduced game, in which every unitary is a distinct strategy, exact payoff duplicates preclude strictness and ESS for every pure strategy. For the agreement-payoff class, the payoff factors through a Bloch map; identifying payoff-equivalent unitaries gives the reduced space (U(1)backslash SU(2)cong S^2), where strictness and ESS are restored for (gamma >0). An arbitrarily small perturbation outside this class that preserves (p^*=1/2) yields a profitable deviation, so the reduced-space result is not generic.

进化稳定策略(ESS)是一种策略,一旦被种群采用,就不会被任何足够罕见的替代策略(突变)入侵。我们分析了一个对称的(2times 2)协调博弈的eesl - wilkens - lewenstein (EWL)量化的进化稳定性,该博弈的经典混合平衡(p^*=1/2)不是ESS。在受限的双参数EWL策略空间中,对应的量子策略是严格对称纳什均衡和每个纠缠强度的ESS (gamma >0)。在完整的SU(2)策略空间中,它仍然是纳什均衡,但在非约化博弈中,每个单一策略都是不同的策略,精确的收益重复排除了每个纯策略的严格性和ESS。对于协议-收益类,收益因子通过Bloch映射;确定收益等效单位可以减少空间(U(1)backslash SU(2)cong S^2),其中恢复(gamma >0)的严格性和ESS。在这个类之外的任意小的扰动保留(p^*=1/2)会产生有利的偏差,因此简化空间的结果不是一般的。
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引用次数: 0
Mechanism-resolved topological protection of qubit coherence: disentangling localization and chiral symmetry in the Su–Schrieffer–Heeger model 量子比特相干的机制解析拓扑保护:Su-Schrieffer-Heeger模型中的解纠缠局域化和手性对称
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-10-22 DOI: 10.1007/s11128-026-05371-2
Lalitha Nallamothula, Victor Prybutok, Prince Nallamothula

Topological phases are widely expected to protect quantum information through symmetry-enforced degeneracies, yet the operational mechanisms underlying coherence protection are rarely resolved. We perform a mechanism-resolved study of a logical qubit encoded in the edge modes of the Su–Schrieffer–Heeger (SSH) model, using Lindblad master equation simulations to disentangle two independent protective effects: spatial localization of the edge-state wavefunctions and chiral symmetry pinning of the edge-state degeneracy. By continuously interpolating between chiral symmetry-breaking (on-site) and chiral symmetry-preserving (bond) noise, we find that the topological encoding shows a larger dynamical coherence advantage under on-site noise than under bond noise (protection factors 3.15 versus 2.12). Because the two channels carry different effective dephasing power, we normalize them to equal dissipation power and to equal trivial-encoding decay rate; the on-site advantage persists ((1.6times )) whenever the dissipation rate exceeds the finite-size edge splitting, so it is not a channel power artifact. The on-site protection factor grows with chain length (from 1.4 to 3.5) and saturates; the saturation value is (gamma )-independent below the bulk gap while the saturation length follows (N_{textrm{sat}}simeq 2+ln (1.68,w/gamma )/ln (w/v)). We derive the logical dephasing rate analytically from the Lindbladian and show that it reproduces the simulated coherence floor with no free parameters. The mechanism is subtle: Chiral symmetry contributes through an exact cancellation of the pure dephasing channel between the two edge states—which we confirm by a chiral-breaking control—while the length dependence is set by the edge hybridization splitting (Delta sim w(v/w)^N), whose scale is the localization length. Neither localization nor symmetry alone is the sole driver; symmetry fixes the height of the coherence floor while localization sets its length dependence. As a hardware benchmark, we execute the Trotterized dynamics on the IBM ibm_kingston superconducting processor: The qualitative dynamical contrast between encodings—monotonic edge population decay versus ballistic bulk oscillation—survives device noise up to a transpiled depth of 222, and a device-calibrated noise simulation with no fitted parameters reproduces the trivial-encoding loss and the depth dependence of the topological loss. This is a proof of execution of the dynamical signature, not a measurement of logical coherence.

人们普遍认为,拓扑相可以通过对称强制简并来保护量子信息,然而,相干保护背后的操作机制却很少得到解决。我们对在Su-Schrieffer-Heeger (SSH)模型的边缘模式中编码的逻辑量子比特进行了机制解析研究,使用Lindblad主方程模拟来解开两个独立的保护效应:边缘状态波函数的空间定位和边缘状态简并的手性对称固定。通过连续插值手性对称性破坏(现场)和手性对称性保持(键)噪声,我们发现拓扑编码在现场噪声下比在键噪声下表现出更大的动态相干性优势(保护系数3.15比2.12)。由于两个信道的有效消相功率不同,我们将它们归一化为相等的耗散功率和相等的琐碎编码衰减率;只要耗散率超过有限尺寸的边缘分裂,现场优势就会持续存在((1.6times )),因此它不是通道功率伪影。现场保护系数随链长增大(从1.4 ~ 3.5)并趋于饱和;饱和值在体积间隙以下与(gamma )无关,而饱和长度服从(N_{textrm{sat}}simeq 2+ln (1.68,w/gamma )/ln (w/v))。我们从Lindbladian中解析导出了逻辑消相率,并证明了它再现了没有自由参数的模拟相干层。机制是微妙的:手性对称通过两个边缘状态之间的纯减相通道的精确抵消来贡献-我们通过手性破缺控制来确认-而长度依赖由边缘杂交分裂(Delta sim w(v/w)^N)确定,其尺度是定位长度。局部化和对称性都不是唯一的驱动因素;对称性固定了相干层的高度,而局部化则设置了它的长度依赖关系。作为硬件基准,我们在IBM ibm_kingston超导处理器上执行了Trotterized动力学:编码-单调边缘人口衰减与弹道体振荡之间的定性动态对比-在高达222的transpiled深度的设备噪声中幸存下来,并且没有拟合参数的设备校准噪声模拟再现了琐碎编码损耗和拓扑损耗的深度依赖。这是动态签名执行的证明,而不是逻辑一致性的度量。
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引用次数: 0
Resources of the advantage in quantum illumination: Discord and entanglement 量子照明的优势资源:不和谐与纠缠
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-10-17 DOI: 10.1007/s11128-026-05368-x
Mojtaba Asadollahi, Mohammad Hossein Zarei

We investigate how the quantum advantage in quantum illumination is determined by an interplay between entanglement and discord of the probe state. In particular, we consider a setup in which the probe is a maximally mixed marginal (MMM) state and the environmental state is completely mixed where the quantum advantage equals the amount of discord consumed for illumination. Through a conditional extremal analysis, we determine the range of accessible advantages for given values of entanglement and discord. At fixed discord, higher entanglement restricts the accessible advantage to higher values, making high entanglement sufficient for achieving high advantage. Conversely, at fixed entanglement, low discord limits the advantage to low values, indicating that high discord is necessary for high advantage in MMM states. These conclusions remain unchanged when alternative correlation measures, including relative entropy and Bures entanglement and geometric discord, are used. The consistency of our results across multiple conceptually distinct measures indicates that the observed resource-advantage relation is not an artifact of a specific quantifier, but a robust feature of the protocol within the family of MMM states. We finally find that in the high-noise regime (near-maximally-mixed state), quantum advantage is, to leading order, a linear function of the initial discord highlighting discord as the key resource for resilience to noise in the protocol.

我们研究了量子照明中的量子优势是如何由探针态的纠缠和不和谐的相互作用决定的。特别是,我们考虑了一种设置,其中探针是最大混合边缘状态(MMM),环境状态是完全混合的,其中量子优势等于照明消耗的不和谐量。通过条件极值分析,我们确定了给定纠缠和不和谐值的可达优势范围。在不和谐固定的情况下,较高的纠缠度将可得优势限制在较高的值,使得高纠缠度足以实现高优势。相反,在固定纠缠下,低不和谐将优势限制在低值,这表明在MMM状态下,高不和谐是高优势所必需的。当使用其他相关度量,包括相对熵、布尔斯纠缠和几何不谐时,这些结论保持不变。我们在多个概念上不同的测量结果的一致性表明,观察到的资源优势关系不是特定量词的工件,而是MMM状态家族中协议的一个强大特征。我们最终发现,在高噪声状态下(接近最大混合状态),量子优势是初始不和谐的线性函数,突出了不和谐是协议中抗噪声弹性的关键资源。
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引用次数: 0
Testing the influence of information entropy in the case of Dirac oscillator (spin-1/2) interaction with the cosmic string topological defect 在宇宙弦拓扑缺陷与狄拉克振荡器(自旋为1/2)相互作用的情况下测试信息熵的影响
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-10-13 DOI: 10.1007/s11128-026-05363-2
Quezia R. D. S. Moreira, Abdelmalek Bouzenada, Allan R. P. Moreira, Faizuddin Ahmed, João B. R. Silva

We investigate the Dirac oscillator in the spacetime of a spinning cosmic string in the presence of a uniform magnetic field and an Aharonov–Bohm flux, obtaining exact analytical solutions for the relativistic spectrum and wave functions. The combined effects of curvature, rotation, and electromagnetic flux produce controllable shifts in the effective angular momentum and in the localization properties of the states. We compute the Shannon entropies in coordinate and momentum spaces and show that the geometric and topological parameters act as tunable resources for manipulating quantum uncertainty and information distribution in relativistic systems. Our results reveal how nontrivial spacetime backgrounds can be exploited to engineer quantum–information-relevant features, offering new pathways for relativistic quantum control and entropy-based quantum diagnostics.

我们研究了均匀磁场和Aharonov-Bohm通量存在下自旋宇宙弦的时空中的狄拉克振子,得到了相对论谱和波函数的精确解析解。曲率、旋转和电磁通量的共同作用使有效角动量和态的局域化特性发生了可控的变化。我们计算了坐标空间和动量空间中的香农熵,并表明几何和拓扑参数是操纵相对论系统中量子不确定性和信息分布的可调资源。我们的研究结果揭示了如何利用非平凡时空背景来设计量子信息相关的特征,为相对论量子控制和基于熵的量子诊断提供了新的途径。
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引用次数: 0
Numerical simulation of noise impact on DWDM-based MP-QKD in multi-user scenarios 多用户场景下基于dwdm的MP-QKD噪声影响的数值模拟
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-10-12 DOI: 10.1007/s11128-026-05358-z
Rui Xu, Chaojie Wang, Yuzhe Zhao, Rongzhen Jiao

Quantum key distribution (QKD) guarantees the theoretical security of communication based on the principles of quantum mechanics and serves as a core component of quantum communication networks. To address the challenge of enabling multi-user concurrent communication and improving transmission efficiency, the integration of dense wavelength division multiplexing (DWDM) technology with QKD protocols has emerged as an important research direction. This paper focuses on the performance of the MP-QKD protocol based on DWDM in multi-user scenarios, analyzing the impact of key parameters such as the number of channels, different noise type, channel isolation, classical channel power, and detector configuration on the system noise rate and secret key rate through numerical simulations. The results demonstrate that DWDM technology can enhance the total secret key capacity through multi-channel parallel transmission, while optimizing channel isolation, classical channel power, channel count, and detector configuration can effectively suppress noise interference and improve system performance. These findings provide useful guidance for the practical deployment of multi-user quantum communication networks with low noise and high performance.

量子密钥分发(QKD)基于量子力学原理保证了通信的理论上安全性,是量子通信网络的核心组成部分。为了解决多用户并发通信和提高传输效率的挑战,密集波分复用(DWDM)技术与QKD协议的融合已成为一个重要的研究方向。本文重点研究了基于DWDM的MP-QKD协议在多用户场景下的性能,通过数值模拟分析了信道数、不同噪声类型、信道隔离、经典信道功率、检测器配置等关键参数对系统噪声率和秘钥率的影响。结果表明,DWDM技术可以通过多信道并行传输提高总秘钥容量,同时优化信道隔离、经典信道功率、信道数和检测器配置可以有效抑制噪声干扰,提高系统性能。这些发现为低噪声、高性能的多用户量子通信网络的实际部署提供了有益的指导。
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引用次数: 0
Hybrid plasmonic-photonic cloaking for secure quantum communication 用于安全量子通信的等离子体-光子混合隐身
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-10-12 DOI: 10.1007/s11128-026-05365-0
M. Afshari-Bavil, A. Hosseinnezhad, H. Sabri

The rapid development of quantum communication networks has highlighted the urgent need for physical-layer protection mechanisms that complement cryptographic protocols. While photonic systems provide low-loss transmission and high-fidelity quantum state manipulation, they remain vulnerable to side-channel leakage and electromagnetic probing. Plasmonic nanostructures, on the other hand, offer extreme field confinement and tunable resonance properties, enabling adaptive shielding against external interrogation. In this work, we propose a hybrid plasmonic–photonic cloaking framework designed to enhance the security of quantum communication channels. The architecture integrates metamaterial-based plasmonic layers with photonic waveguides to dynamically suppress scattering signatures, minimize information leakage, and preserve quantum coherence. Analytical modeling and numerical simulations demonstrate that the hybrid cloak achieves attenuation exceeding 40 dB in targeted probing bands while maintaining entanglement visibility above 90%. The results indicate that combining plasmonic resonance with photonic interference provides a scalable and reconfigurable defense strategy for next-generation quantum networks, including fiber-based, free-space, and satellite communication systems. This study establishes a foundation for multi-layered quantum security architectures where physical cloaking complements protocol-level cryptography.

量子通信网络的快速发展凸显了对物理层保护机制的迫切需求,以补充加密协议。虽然光子系统提供低损耗传输和高保真量子态操作,但它们仍然容易受到侧信道泄漏和电磁探测的影响。另一方面,等离子体纳米结构提供了极端的场限制和可调谐的共振特性,能够自适应屏蔽外部干扰。在这项工作中,我们提出了一种混合等离子体-光子隐身框架,旨在提高量子通信信道的安全性。该体系结构将基于超材料的等离子体层与光子波导集成在一起,以动态抑制散射特征,最小化信息泄漏并保持量子相干性。分析模型和数值模拟表明,混合隐身在目标探测波段的衰减超过40 dB,同时保持90%以上的纠缠可见度。结果表明,将等离子共振与光子干涉相结合,为下一代量子网络(包括基于光纤、自由空间和卫星通信系统)提供了可扩展和可重构的防御策略。本研究为多层量子安全架构奠定了基础,其中物理隐身补充了协议级加密。
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引用次数: 0
Implementing an information-theoretically secure Byzantine agreement with quantum signed message solution 使用量子签名消息解决方案实现信息理论上安全的拜占庭协议
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-10-12 DOI: 10.1007/s11128-026-05332-9
Yao Zhou, Feng-Yu Lu, Zhen-Qiang Yin, Shuang Wang, Wei Chen, Guang-Can Guo, Zheng-Fu Han

Byzantine agreement (BA) enables all honest nodes in a decentralized network to reach consensus. In the era of emerging quantum technologies, classical cryptography-based BA protocols face inherent security vulnerabilities. By leveraging information-theoretically secure keys generated by quantum processing, such as quantum key distribution (QKD), and utilizing the one-time pad (OTP) and one-time universal hashing (OTUH) classical methods, we propose a quantum signed Byzantine agreement (QSBA) protocol based on the quantum signed message (QSM) scheme. This protocol achieves information-theoretic security using only QKD-shared key resources between network nodes, without requiring quantum entanglement or other advanced quantum resources. Compared to the recently proposed quantum Byzantine agreement (QBA), our QSBA achieves superior fault tolerance, extending the threshold from nearly 1/2 to an arbitrary number of malicious nodes. Furthermore, our QSBA significantly reduces communication complexity under the same number of malicious nodes. Simulation results in a 5-node twin-field QKD network highlight the efficiency of our protocol, showcasing its potential for secure and resource-efficient consensus in quantum networks.

拜占庭协议(BA)使去中心化网络中的所有诚实节点能够达成共识。在新兴的量子技术时代,基于密码学的经典BA协议面临着固有的安全漏洞。利用量子密钥分发(QKD)等量子处理生成的信息安全密钥,利用一次性填充(OTP)和一次性通用散列(OTUH)经典方法,提出了一种基于量子签名消息(QSM)方案的量子签名拜占庭协议(QSBA)协议。该协议仅使用网络节点之间的qkd共享密钥资源,而不需要量子纠缠或其他高级量子资源,从而实现了信息理论上的安全。与最近提出的量子拜占庭协议(QBA)相比,我们的QSBA实现了更好的容错性,将阈值从近1/2扩展到任意数量的恶意节点。此外,在相同数量的恶意节点下,我们的QSBA显著降低了通信复杂度。在5节点双域QKD网络中的仿真结果突出了我们协议的效率,展示了其在量子网络中安全和资源高效共识的潜力。
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引用次数: 0
Exploring the effect of intrinsic decoherence on the quantum correlations in (2otimes 3) Heisenberg chains exposed to inhomogeneous magnetic field 探索不均匀磁场下(2otimes 3)海森堡链中本征退相干对量子相关的影响
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-10-12 DOI: 10.1007/s11128-026-05362-3
Tamer A. Seoudy, N. H. Abdel-Wahab, Ahmed Salah

While the effects of intrinsic decoherence on homogeneous Heisenberg spin chains are widely documented, hybrid lower-dimensional architectures remain less explored. In this work, we investigate a heterogeneous quantum system comprising a spin-1 (qutrit) and a spin-(frac{1}{2}) (qubit) coupled under the influence of an inhomogeneous magnetic field. Under the assumption that the system originates from an initial thermal state, we derive an exact analytical solution for the density matrix using the Milburn master equation. We monitor the dynamical evolution of several key quantumness measures including geometric quantum discord, von Neumann entropy, and concurrence with a particular focus on how intrinsic decoherence reshapes their temporal profiles. Our numerical and analytical results demonstrate that robust quantum correlations and high-degree entanglement can be successfully generated and preserved by carefully tuning both the decoherence rate and the magnetic field inhomogeneity parameter. Furthermore, we test the ultimate bounds of parameter estimation within this framework by evaluating the Quantum Fisher Information (QFI). The results reveal that estimation precision is highly sensitive to both the relative magnitude of the parameters and the specific QFI metric employed. Crucially, optimal estimation accuracy remains strictly confined to early interaction intervals, experiencing severe degradation as the system evolves toward its long-time steady state.

虽然内禀退相干对均匀海森堡自旋链的影响被广泛记录,但混合低维结构仍然很少被探索。在这项工作中,我们研究了在非均匀磁场的影响下,由自旋-1 (qutrit)和自旋- (frac{1}{2}) (qubit)耦合组成的异质量子系统。在假设系统起源于初始热态的前提下,利用Milburn主方程导出了密度矩阵的精确解析解。我们监测了几个关键量子测量的动态演变,包括几何量子不和谐、冯·诺伊曼熵和并发,并特别关注内在退相干如何重塑它们的时间轮廓。我们的数值和分析结果表明,通过仔细调整退相干率和磁场不均匀性参数,可以成功地产生和保持鲁棒量子相关和高度纠缠。在此基础上,通过对量子费雪信息(QFI)的估计,验证了该框架下参数估计的最终界。结果表明,估计精度对参数的相对大小和所采用的特定QFI度量都高度敏感。至关重要的是,最优估计精度仍然严格局限于早期的相互作用间隔,随着系统向长期稳定状态发展,会经历严重的退化。
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引用次数: 0
A suite of routing algorithms for bursty demands in quantum networks 一套针对量子网络突发需求的路由算法
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2026-10-12 DOI: 10.1007/s11128-026-05355-2
Anoop Kumar Pandey, Anubhav Srivastava, Pranav K. Nayak, Bheemarjuna Reddy Tamma, M. V. Panduranga Rao

Quantum network routing is an area of research that primarily involves finding paths for entanglement swapping to distribute entangled qubit pairs (EPR) between two quantum nodes. This paper considers a “burst” variant of the problem. In this variant, if (d_{i}) EPR pairs are to be shared between quantum nodes (s_i) and (e_i), they have to be shared within a short pre-specified time interval that starts at time instant (ST_{i}) and ends at (ET_{i}). This is a natural requirement in the case of applications that need several shared EPR pairs, and the quantum memory is not long-lived, thereby imposing timing constraints. We first investigate a simple variant of the problem. Although simpler, it is still easily shown to be NP-hard. We study this variant by formulating and solving it as an integer linear programming (ILP), and designing a fast greedy heuristic algorithm for it. While the heuristic algorithm takes significantly less time to solve the problem than the ILP, we empirically observe that the solution seems to mimic that of the ILP formulation. Motivated by this, we generalize the greedy heuristic into a framework that can be easily adapted to yield different heuristics for different objective functions. A crucial feature of this greedy framework is that it splits the demands for EPR pairs among multiple paths and temporally. We finally present several heuristics under this framework for different variants of the problem—like starvation avoidance and minimizing the number of “spatial splits”—and compare their performance.

量子网络路由是一个研究领域,主要涉及寻找纠缠交换路径,以在两个量子节点之间分配纠缠量子比特对(EPR)。本文考虑了该问题的“突发”变体。在这种变体中,如果要在量子节点(s_i)和(e_i)之间共享(d_{i}) EPR对,则必须在预先指定的短时间间隔内共享它们,该时间间隔从即时(ST_{i})开始,到(ET_{i})结束。对于需要几个共享EPR对的应用程序来说,这是一个自然的需求,而量子内存的寿命不长,因此会施加时间限制。我们首先研究这个问题的一个简单变体。虽然更简单,但它仍然很容易被证明是np困难的。通过将其表述为整数线性规划(ILP)并求解,研究了该变量,并设计了一种快速的贪婪启发式算法。虽然启发式算法解决问题所需的时间明显少于ILP,但我们根据经验观察到,该解决方案似乎模仿了ILP公式。受此启发,我们将贪婪启发式推广到一个框架中,该框架可以很容易地适应不同的目标函数产生不同的启发式。这个贪婪框架的一个关键特征是,它将对EPR对的需求拆分为多个路径和临时的。最后,我们在这个框架下提出了几种启发式方法来解决这个问题的不同变体,比如避免饥饿和最小化“空间分裂”的数量,并比较了它们的性能。
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引用次数: 0
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Quantum Information Processing
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