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Robustness of entanglement for W and Greenberger–Horne–Zeilinger mixed states W和greenberger - horn - zeilinger混合态纠缠的鲁棒性
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-12-26 DOI: 10.1007/s11128-024-04620-6
Zhen Zhu, Guo-Lin Lv, Maoke Miao, Xiao-Yu Chen

Quantum entanglement is one of the most crucial resources in quantum information. Its robustness, in a certain sense, quantifies the tolerance of entanglement against noise and interference. By studying the robustness of entanglement for mixed states composed of entangled pure states, it’s helpful to understand the robustness of entanglement in more general states. In this work, we present an analytical method for evaluating the robustness of entanglement for W and GHZ mixed states involving three and four qubits. By employing the definition of the robustness of entanglement and analyzing the entanglement witness, we establish tight upper and lower bounds for the robustness of these mixed states. The calculated results demonstrate the accuracy of our approach, offering insights for studying the robustness of entanglement for general quantum states.

量子纠缠是量子信息中最重要的资源之一。它的鲁棒性,在一定意义上,量化了对噪声和干扰的纠缠容忍度。通过研究由纠缠纯态组成的混合态的纠缠鲁棒性,有助于理解更一般状态下纠缠的鲁棒性。在这项工作中,我们提出了一种分析方法来评估涉及三个和四个量子位元的W和GHZ混合态纠缠的鲁棒性。通过对纠缠鲁棒性的定义和对纠缠见证的分析,建立了这些混合状态鲁棒性的严密上界和下界。计算结果证明了我们的方法的准确性,为研究一般量子态纠缠的鲁棒性提供了见解。
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引用次数: 0
Quantum thermometry for the Hamiltonians constructed by quantum Yang–Baxter equation 由量子Yang-Baxter方程构造的哈密顿量的量子测温
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-12-24 DOI: 10.1007/s11128-024-04622-4
Adem Türkmen, Gökhan Çelebi, Beyza Dernek, Durgun Duran

Without a doubt, temperature control and measurement are crucial for every prospective application in various quantum-operating systems and platforms. The theory of quantum thermometry will have a significant influence on and shape the upcoming quantum technologies, together with the advancement of measurement procedures and new experimental techniques. At the intersection of quantum metrology, open quantum systems and quantum many-body physics, the theory of quantum thermometry is constructed under a unifying framework, despite the fact that current quantum thermometric methods vary greatly depending on the experimental platform, the achievable precision and the temperature range of interest. Finding the absolute limits and scaling rules that restrict the accuracy of temperature estimation for systems in and out of thermal equilibrium is at the core of theoretical quantum thermometry. Although quantum Fisher information is monotonically decreasing under the action of a quantum channel or noises, we address that the information losses under any quantum operation by offering relative improvements to minimize uncertainty for estimating of temperature for different output states obtained by Hamiltonians constructed with the quantum Yang–Baxter equation can be mitigated.

毫无疑问,温度控制和测量对于各种量子操作系统和平台的每个潜在应用都是至关重要的。随着测量方法和实验技术的进步,量子测温理论将对未来的量子技术产生重大影响和影响。在量子计量学、开放量子系统和量子多体物理的交叉点上,量子测温理论是在一个统一的框架下构建的,尽管目前的量子测温方法因实验平台、可实现的精度和感兴趣的温度范围而有很大差异。寻找限制热平衡和非热平衡系统温度估计精度的绝对极限和标度规则是理论量子测温的核心。虽然量子费雪信息在量子信道或噪声的作用下是单调递减的,但我们通过提供相对的改进来最小化由量子Yang-Baxter方程构造的哈密顿量获得的不同输出状态的温度估计的不确定性,可以减轻任何量子操作下的信息损失。
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引用次数: 0
Effect of unital and non-unital channels on faithfulness of two-qubit entanglement 单和非单信道对双量子位纠缠信度的影响
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-12-24 DOI: 10.1007/s11128-024-04619-z
Longjiang Liu, Lingchao Li

States whose entanglement can be detected by a fidelity-based entanglement witness are faithful. In this paper, we introduce a new necessary and sufficient condition for identifying faithful states. This condition is based on the trace norm. With the help of this condition, we investigate the effect of local channels on the faithfulness of two-qubit entangled states. The result shows that all the unital channels cannot enhance the faithfulness of entangled states. Some non-unital channels can improve the faithfulness of a restricted set of entangled states and even change an unfaithful entangled state to a faithful one. However, the faithfulness of all the states with maximally mixed marginals can only decrease when subjected to local channels.

能够被基于保真度的纠缠证人检测到的国家是忠诚的。本文引入了辨识可靠状态的一个新的充要条件。此条件基于跟踪规范。在此条件下,我们研究了局域信道对双量子比特纠缠态信度的影响。结果表明,所有的单通道都不能提高纠缠态的信度。一些非单一信道可以提高有限纠缠态集的信度,甚至可以将不忠实的纠缠态变为忠实的纠缠态。然而,当受到局部渠道的影响时,所有具有最大混合边缘的状态的忠实度只会下降。
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引用次数: 0
Multi-party quantum Byzantine consensus based on full quantum one-way function 基于全量子单向函数的多方量子拜占庭共识
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-12-24 DOI: 10.1007/s11128-024-04621-5
Tao Shang, Yao Tang, Yuanjing Zhang, Kun Zhang, Yazhuo Jiang

In distributed systems, Byzantine consensus serves as a practical approach to addressing the Byzantine general problem. Previous research has exploited quantum resources to develop quantum detectable Byzantine consensus protocols, aiming to surpass the 1/3 fault tolerance bound. However, these consensus protocols are designed under the assumption of secure channel. They ignored malicious participants’ attacks on the communication process. In this paper, we introduce a new quantum protocol for quantum Byzantine consensus utilizing the full quantum one-way function, which is the foundation for generating verification state in list distribution phase and secure message in agreement phase. By relying on the quantum circuit of the full quantum one-way function, the honest participants are able to reach consensus, while the malicious participants are effectively detected. In order to enhance the scalability of the proposed quantum Byzantine consensus protocol, we categorize the participants into three-member groups when the number of participants is (n>3). Meanwhile, the election of commander is introduced in agreement phase. In the proposed multi-party quantum Byzantine consensus protocol, the full quantum one-way function verifies the honesty of the participants in both list distribution phase and agreement phase. Security analysis demonstrates that the proposed multi-party quantum Byzantine consensus protocol is secure against quantum attacks and the dishonest behaviors of participants.

在分布式系统中,拜占庭共识是解决拜占庭一般问题的实用方法。先前的研究利用量子资源开发量子可检测的拜占庭共识协议,旨在超越1/3容错性界限。然而,这些共识协议都是在安全通道的假设下设计的。他们忽略了恶意参与者对沟通过程的攻击。本文利用全量子单向函数引入了一种新的量子拜占庭共识协议,为列表分发阶段的验证状态和协议阶段的安全消息生成奠定了基础。依靠全量子单向函数的量子电路,诚实的参与者能够达成共识,而恶意的参与者则被有效地检测出来。为了增强所提出的量子拜占庭共识协议的可扩展性,当参与者数量为(n>3)时,我们将参与者分为三人组。同时,在协议阶段引入了指挥员的选举。在提出的多方量子拜占庭共识协议中,全量子单向函数在列表分发阶段和协议阶段验证参与者的诚实性。安全性分析表明,所提出的多方量子拜占庭共识协议对量子攻击和参与者的不诚实行为是安全的。
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引用次数: 0
Environment-induced entanglement in Gaussian open quantum systems 高斯开放量子系统中的环境诱导纠缠
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-12-24 DOI: 10.1007/s11128-024-04624-2
A. Dhahri, F. Fagnola, D. Poletti, H. J. Yoo

We show that a bipartite Gaussian quantum system interacting with an external Gaussian environment may possess a unique Gaussian entangled stationary state and that any initial state converges toward this stationary state. We discuss dependence of entanglement on temperature and interaction strength and show that one can find entangled stationary states only for low temperatures and weak interactions.

我们证明了与外部高斯环境相互作用的二部高斯量子系统可能具有唯一的高斯纠缠定态,并且任何初始态都收敛于该定态。我们讨论了纠缠态对温度和相互作用强度的依赖性,并表明只有在低温和弱相互作用下才能找到纠缠态。
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引用次数: 0
A secure authenticated semi-quantum key distribution scheme for semi-quantum environments 一种适用于半量子环境的安全认证半量子密钥分发方案
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-12-18 DOI: 10.1007/s11128-024-04618-0
Chi-Tung Chen, Cheng-Chi Lee

One of the notable applications of quantum computing is in cryptography. However, quantum apparatus is still costly at this time. In practicality, some users may not have full quantum capabilities. Boyer et al. in 2007 proffered a semi-quantum key distribution scheme, in which one participant is a quantum user, and the other participant is a classical user. The classical user has limited quantum capabilities. In 2021, Chang et al. proffered an authenticated semi-quantum key distribution (ASQKD) scheme. However, in the Chang et al. scheme, an authenticated classical channel is assumed to be pre-established between a quantum user and a classical user. Once the authenticated classical channel is not available in communication environments, the scheme will be vulnerable to attacks. An ASQKD scheme without authenticated classical channel is more sutable for semi-quantum environments. Therefore, we propose a more secure authenticated semi-quantum key distribution scheme without authenticated classical channel for semi-quantum environments. Our scheme only uses single photons to achieve proven security. In our scheme, the semi-quantum environment contains a quantum user and a classical user. The provable security analysis of our scheme is provided. Our scheme can withstand reflecting attacks and impersonation attacks. We also show the proposed scheme can provide the robustness against collective attacks. That is to say, when there is a collective attack on our scheme, any unitary operator from the attacker to acquire useful information will be detected. Moreover, we also do the performance evaluation and comparison with other relevant schemes. The results show that our scheme has the following preferable properties: high qubit efficiency, no quantum memory (storage) required, no classical channel required, and secret Hash function for the session key. Therefore, our proposed scheme in semi-quantum environments is a secure scheme.

量子计算的一个显著应用是密码学。然而,量子设备目前仍然很昂贵。实际上,一些用户可能没有完全的量子能力。Boyer等人在2007年提出了一种半量子密钥分发方案,其中一个参与者是量子用户,另一个参与者是经典用户。经典用户的量子能力有限。2021年,Chang等人提出了一种身份验证的半量子密钥分发(ASQKD)方案。然而,在Chang等人的方案中,假设在量子用户和经典用户之间预先建立了经过身份验证的经典通道。一旦认证后的经典信道在通信环境中不可用,该方案就容易受到攻击。无经典信道认证的ASQKD方案更适合半量子环境。因此,我们提出了一种更安全的半量子认证密钥分发方案,该方案不需要经过认证的经典信道。我们的方案仅使用单光子来实现经过验证的安全性。在我们的方案中,半量子环境包含一个量子用户和一个经典用户。给出了该方案的可证明安全性分析。我们的方案可以抵御反射攻击和模拟攻击。我们还证明了该方案能够提供抗集体攻击的鲁棒性。也就是说,当我们的方案受到集体攻击时,任何来自攻击者获取有用信息的幺正算子都将被检测出来。并与其他相关方案进行了性能评价和比较。结果表明,该方案具有量子比特效率高、不需要量子内存(存储)、不需要经典通道以及会话密钥的秘密哈希函数等优点。因此,我们提出的方案在半量子环境下是一种安全的方案。
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引用次数: 0
Parrondo’s paradox in quantum walks with different shift operators 具有不同移位算子的量子行走中的Parrondo悖论
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-12-18 DOI: 10.1007/s11128-024-04614-4
Zbigniew Walczak, Jarosław H. Bauer

Parrondo’s paradox refers to an unexpected effect when some combination of biased quantum walks shows a counterintuitive inversion of the bias direction. To date this effect was studied in the case of one-dimensional discrete-time quantum walks with deterministic sequences of two or more quantum coins and one shift operator. In the present work, we show that Parrondo’s paradox may also occur for one coin and two different shift operators which create deterministic periodic or aperiodic sequences. Moreover, we demonstrate how Parrondo’s paradox affects the time evolution of the walker-coin quantum entanglement for this kind of quantum walks.

帕隆多悖论指的是,当一些有偏量子行走的组合显示出反直觉的偏置方向反转时,会产生意想不到的效果。迄今为止,这种效应在一维离散时间量子行走的情况下进行了研究,该量子行走具有两个或多个量子硬币和一个移位算子的确定性序列。在目前的工作中,我们证明了一个硬币和两个不同的移位算子也可能发生Parrondo悖论,它们产生确定性的周期或非周期序列。此外,我们证明了Parrondo悖论如何影响这种量子行走的步行者-硬币量子纠缠的时间演化。
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引用次数: 0
Electrically driven and exponentially enhanced spin–photon interfaces for quantum networks 用于量子网络的电驱动和指数增强型自旋光子接口
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-12-14 DOI: 10.1007/s11128-024-04612-6
Fang-Yu Hong

We present an electrically driven scheme for spin–photon quantum interfaces used in quantum networks. Through modulating the motion of a nano-cantilever with voltages, optomechanical coupling and spin–mechanical coupling can be exponentially enhanced simultaneously. Numerical simulations show that by applying well-designed voltages high-fidelity quantum interface operations such as generation and absorption of a single photon with a known wave packet are within the reach of current techniques.

提出了一种用于量子网络的自旋光子量子接口的电驱动方案。通过电压调制纳米悬臂梁的运动,可以同时成倍地增强光-力耦合和自旋-力耦合。数值模拟表明,通过应用设计良好的电压,高保真量子界面操作,如具有已知波包的单个光子的产生和吸收,在当前技术范围内。
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引用次数: 0
Non-Markovianity in discrete-time open quantum random walk on arbitrary graphs 任意图上离散时开放量子随机游走的非马尔可夫性
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-12-14 DOI: 10.1007/s11128-024-04616-2
Monika Rani, Supriyo Dutta, Subhashish Banerjee

In this work, we present a new model of the Discrete-Time Open Quantum Walk (DTOQW) applicable to an arbitrary graph, thereby going beyond the case of quantum walks on regular graphs. We study the impact of noise in the dynamics of quantum walk by applying Kraus operators of different dimensions which are constructed using the Weyl operators. The DTOQW employs these Kraus operators as its coin operators. The walker dynamics are studied under the impact of non-Markovian amplitude damping, dephasing and depolarizing noise channels. We also implement the walk on various graphs, including path graphs, cycle graphs, star graphs, complete graphs, complete bipartite graphs, etc. We gauge the dynamics by computing coherence and fidelity at different time steps, taking into account the influence of noise. Furthermore, we compute the probability distribution at different time-steps for the above noises, which represents the availability of the quantum walker at different vertices of the graph.

在这项研究中,我们提出了一种适用于任意图的离散时间开放量子漫步(DTOQW)新模型,从而超越了常规图上量子漫步的情况。我们通过应用不同维度的克劳斯算子来研究噪声对量子行走动力学的影响,克劳斯算子是用韦尔算子构造的。DTOQW 采用这些 Kraus 算子作为其硬币算子。在非马尔可夫振幅阻尼、去相位和去极化噪声通道的影响下,对行走器动力学进行了研究。我们还在各种图上实现了行走,包括路径图、循环图、星形图、完整图、完整双向图等。考虑到噪声的影响,我们通过计算不同时间步的一致性和保真度来衡量动态。此外,我们还计算了上述噪声在不同时间步长下的概率分布,这代表了量子行走器在图的不同顶点的可用性。
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引用次数: 0
Echo-evolution data generation for quantum error mitigation via neural networks 基于神经网络的量子误差缓解回波演化数据生成
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-12-13 DOI: 10.1007/s11128-024-04603-7
Danila Babukhin

Neural networks provide a prospective tool for error mitigation in quantum simulation of physical systems. However, we need both noisy and noise-free data to train neural networks to mitigate errors in quantum computing results. Here, we propose a physics-motivated method to generate training data for quantum error mitigation via neural networks, which does not require classical simulation and target circuit simplification. In particular, we propose to use the echo evolution of a quantum system to collect noisy and noise-free data for training a neural network. Under this method, the initial state evolves forward and backward in time, returning to the initial state at the end of evolution. When run on a noisy quantum processor, the resulting state will be affected by the quantum noise accumulated during evolution. Having a vector of observable values of the initial (noise-free) state and the resulting (noisy) state allows us to compose training data for a neural network. We demonstrate that a feed-forward fully connected neural network trained on echo-evolution-generated data can correct results of forward-in-time evolution. Our findings can enhance the application of neural networks to error mitigation in quantum computing.

神经网络为物理系统量子模拟中的误差缓解提供了一个有前途的工具。然而,我们需要有噪声和无噪声的数据来训练神经网络,以减轻量子计算结果中的误差。在这里,我们提出了一种物理驱动的方法,通过神经网络生成量子误差缓解的训练数据,该方法不需要经典的模拟和目标电路简化。特别是,我们建议使用量子系统的回波演化来收集有噪声和无噪声的数据来训练神经网络。在这种方法下,初始状态在时间上向前和向后进化,在进化结束时返回到初始状态。当在有噪声的量子处理器上运行时,结果状态会受到演化过程中积累的量子噪声的影响。拥有初始(无噪声)状态和结果(有噪声)状态的可观察值向量允许我们为神经网络组合训练数据。我们证明了在回声进化生成的数据上训练的前馈全连接神经网络可以纠正前向实时进化的结果。我们的研究结果可以增强神经网络在量子计算中的错误缓解应用。
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引用次数: 0
期刊
Quantum Information Processing
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