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Efficient realization of quantum algorithms with qudits 用量子比特高效实现量子算法
IF 5.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-26 DOI: 10.1140/epjqt/s40507-024-00250-0
Anastasiia S. Nikolaeva, Evgeniy O. Kiktenko, Aleksey K. Fedorov

The development of a universal fault-tolerant quantum computer that can solve efficiently various difficult computational problems is an outstanding challenge for science and technology. In this work, we propose a technique for an efficient implementation of quantum algorithms with multilevel quantum systems (qudits). Our method uses a transpilation of a circuit in the standard qubit form, which depends on the characteristics of a qudit-based processor, such as the number of available qudits and the number of accessible levels. This approach provides a qubit-to-qudit mapping and comparison to a standard realization of quantum algorithms highlighting potential advantages of qudits. We provide an explicit scheme of transpiling qubit circuits into sequences of single-qudit and two-qudit gates taken from a particular universal set. We then illustrate our method by considering an example of an efficient implementation of a 6-qubit quantum algorithm with qudits. In this particular example, we demonstrate how using qudits allows a decreasing amount of two-body interactions in the qubit circuit implementation. We expect that our findings are of relevance for ongoing experiments with noisy intermediate-scale quantum devices that operate with information carriers allowing qudit encodings, such as trapped ions and neutral atoms, as well as optical and solid-state systems.

开发能高效解决各种计算难题的通用容错量子计算机是科学与技术领域面临的一项严峻挑战。在这项工作中,我们提出了一种利用多级量子系统(量子比特)高效实现量子算法的技术。我们的方法使用标准量子比特形式的电路转译,这取决于基于量子比特的处理器的特性,如可用量子比特的数量和可访问量级的数量。这种方法提供了量子比特到量子比特的映射,并与量子算法的标准实现进行了比较,突出了量子比特的潜在优势。我们提供了一个明确的方案,将量子比特电路转换成取自特定通用集的单比特和双比特门序列。然后,我们通过一个使用量子比特高效实现 6 量子比特量子算法的例子来说明我们的方法。在这个特殊的例子中,我们展示了如何通过使用量子比特来减少量子比特电路实现中的双体相互作用。我们希望我们的研究结果对正在进行的实验具有现实意义,这些实验使用的是允许量子比特编码的信息载体,如被困离子和中性原子,以及光学和固态系统。
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引用次数: 0
On the bias in iterative quantum amplitude estimation 关于迭代量子振幅估计中的偏差
IF 5.8 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-25 DOI: 10.1140/epjqt/s40507-024-00253-x
Koichi Miyamoto

Quantum amplitude estimation (QAE) is a pivotal quantum algorithm to estimate the squared amplitude a of the target basis state in a quantum state (|{Phi}rangle ). Various improvements on the original quantum phase estimation-based QAE have been proposed for resource reduction. One of such improved versions is iterative quantum amplitude estimation (IQAE), which outputs an estimate â of a through the iterated rounds of the measurements on the quantum states like (G^{k}|{Phi}rangle ), with the number k of operations of the Grover operator G (the Grover number) and the shot number determined adaptively. This paper investigates the bias in IQAE. Through the numerical experiments to simulate IQAE, we reveal that the estimate by IQAE is biased and the bias is enhanced for some specific values of a. We see that the termination criterion in IQAE that the estimated accuracy of â falls below the threshold is a source of the bias. Besides, we observe that (k_{mathrm{fin}}), the Grover number in the final round, and (f_{mathrm{fin}}), a quantity affecting the probability distribution of measurement outcomes in the final round, are the key factors to determine the bias, and the bias enhancement for specific values of a is due to the skewed distribution of ((k_{mathrm{fin}},f_{mathrm{fin}})). We also present a bias mitigation method: just re-executing the final round with the Grover number and the shot number fixed.

量子振幅估计(QAE)是一种关键的量子算法,用于估计量子态(|{Phi}rangle )中目标基态的振幅平方 a。为了减少资源,人们对原始的基于量子相位估计的 QAE 提出了各种改进方案。其中一个改进版本是迭代量子振幅估计(IQAE),它通过对量子态的迭代轮测量输出一个估计值â,如(G^{k}|{Phi}rangle ),格罗弗算子 G 的运算次数 k(格罗弗数)和射击数是自适应确定的。本文研究了 IQAE 中的偏差。通过模拟 IQAE 的数值实验,我们发现 IQAE 的估计值是有偏差的,并且在某些特定的 a 值下偏差会增强。此外,我们还发现最后一轮的格罗弗数(k_{/mathrm{fin}})和影响最后一轮测量结果概率分布的量(f_{/mathrm{fin}})是决定偏差的关键因素,而特定 a 值的偏差增强是由于((k_{/mathrm{fin}},f_{/mathrm{fin}}))的倾斜分布造成的。我们还提出了一种减轻偏差的方法:只需在固定格罗弗数和射击数的情况下重新执行最后一轮。
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引用次数: 0
Continuous variable entanglement between propagating optical modes using optomechanics 利用光力学实现传播光模式之间的连续可变纠缠
IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-20 DOI: 10.1140/epjqt/s40507-024-00252-y
Greeshma Gopinath, Yong Li, Sankar Davuluri

In this study, a method for entangling two spatially separated output laser fields from an optomechanical cavity is proposed. In the existing standard methods, entanglement is created by driving the two-mode squeezing part of the linearized optomechanical interaction;, however our method generates entanglement using the quantum back-action nullifying meter technique. As a result, entanglement can be generated outside the blue sideband frequency in both resolved and unresolved sideband regimes. We further show that the system is stable in the entire region where the Duan criterion for inseparability is fulfilled. The effect of thermal noise on the generated entanglement is examined. Finally, we compare this technique with standard methods for entanglement generation using optomechanics.

本研究提出了一种方法,用于纠缠光机械腔中两个空间分离的输出激光场。在现有的标准方法中,纠缠是通过驱动线性化光机电相互作用的双模挤压部分产生的;而我们的方法是利用量子反作用无效计技术产生纠缠。因此,纠缠可以在蓝色边带频率之外的解析和非解析边带状态下产生。我们进一步证明,该系统在满足不可分性段准则的整个区域内都是稳定的。我们还研究了热噪声对产生的纠缠的影响。最后,我们将该技术与使用光学机械生成纠缠的标准方法进行了比较。
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引用次数: 0
An intelligent threshold selection method to improve orbital angular momentum-encoded quantum key distribution under turbulence 改进湍流条件下轨道角动量编码量子密钥分发的智能阈值选择方法
IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-06 DOI: 10.1140/epjqt/s40507-024-00251-z
Jia-Hao Li, Jie Tang, Xing-Yu Wang, Yang Xue, Hui-Cun Yu, Zhi-Feng Deng, Yue-Xiang Cao, Ying Liu, Dan Wu, Hao-Ran Hu, Ya Wang, Hua-Zhi Lun, Jia-Hua Wei, Bo Zhang, Bo Liu, Lei Shi

High-dimensional quantum key distribution (HD-QKD) encoded by orbital angular momentum (OAM) presents significant advantages in terms of information capacity. However, perturbations caused by free-space atmospheric turbulence decrease the performance of the system by introducing random fluctuations in the transmittance of OAM photons. Currently, the theoretical performance analysis of OAM-encoded QKD systems exists a gap when concerning the statistical distribution under the free-space link. In this article, we analyzed the security of QKD systems by combining probability distribution of transmission coefficient (PDTC) of OAM with decoy-state BB84 method. To address the problem that the invalid key rate is calculated in the part transmittance interval of the post-processing process, an intelligent threshold method based on neural network is proposed to improve OAM-encoded QKD, which aims to conserve computing resources and enhance system efficiency. Our findings reveal that the ratio of root mean square (RMS) OAM-beam radius to Fried constant plays a crucial role in ensuring secure key generation. Meanwhile, the training error of neural network is at the magnitude around 10−3, indicating the ability to predict optimization parameters quickly and accurately. Our work contributes to the advancement of parameter optimization and prediction for free-space OAM-encoded HD-QKD systems. Furthermore, it provides valuable theoretical insights to support the development of free-space experimental setups.

以轨道角动量(OAM)编码的高维量子密钥分发(HD-QKD)在信息容量方面具有显著优势。然而,自由空间大气湍流造成的扰动会在轨道角动量光子的透射率中引入随机波动,从而降低系统的性能。目前,关于自由空间链路下的统计分布,OAM 编码 QKD 系统的理论性能分析还存在空白。本文结合 OAM 的传输系数概率分布(PDTC)和诱饵状态 BB84 方法,分析了 QKD 系统的安全性。针对后处理过程中在部分传输区间计算无效密钥率的问题,提出了一种基于神经网络的智能阈值方法来改进 OAM 编码 QKD,以达到节约计算资源、提高系统效率的目的。我们的研究结果表明,均方根(RMS)OAM 光束半径与弗里德常数的比值对确保密钥生成的安全性起着至关重要的作用。同时,神经网络的训练误差在 10-3 左右,表明其具有快速准确预测优化参数的能力。我们的工作有助于推动自由空间 OAM 编码 HD-QKD 系统的参数优化和预测。此外,它还为支持自由空间实验装置的开发提供了宝贵的理论见解。
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引用次数: 0
Towards quantum technologies with gamma photons 利用伽马光子发展量子技术
IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-06 DOI: 10.1140/epjqt/s40507-024-00240-2
S. Ujeniuc, R. Suvaila

In the context of the second quantum revolution, the ability to manipulate quantum systems is already used for various techniques and a growing number of technology demonstrators, mostly with low energy photons. In this frame, our intention is to extend quantum technologies to gamma photons. Our aim is to take advantage of resources brought by entanglement with higher energy particles, particularly electron-positron annihilation quanta. Tools for low frequency quantum experiments are not suitable for penetrant radiation, consequently we need to use effects typical to the keV-MeV energy range instead. High energy photon protocols would include fundamental properties testing, industrial imaging, quantum random number generators, quantum simulators, military applications and improvement of already existing medical procedures. In this paper we review some important steps in the study of annihilation photon correlations, we point out the experimental differences and necessities with respect to the energy increase in quantum photonic experiments and we describe the design of a quantum gamma device we propose for experiments meant to prove feasibility of gamma ray based protocols. The perspective behind our project is to evidence the possibility to communicate via entangled quanta through media which are not transparent for low energy photons.

在第二次量子革命的背景下,操纵量子系统的能力已被用于各种技术和越来越多的技术示范,其中大部分是低能量光子。在此框架下,我们打算将量子技术扩展到伽马光子。我们的目标是利用与高能粒子,特别是电子-正电子湮灭量子的纠缠所带来的资源。低频量子实验的工具不适合穿透辐射,因此我们需要使用典型的 keV-MeV 能量范围的效应。高能光子协议将包括基本特性测试、工业成像、量子随机数发生器、量子模拟器、军事应用以及改进现有的医疗程序。在本文中,我们回顾了湮灭光子相关性研究的一些重要步骤,指出了量子光子实验中能量增加方面的实验差异和必要性,并介绍了我们为证明基于伽马射线协议的可行性实验而提出的量子伽马设备的设计方案。我们的项目旨在证明通过纠缠量子在对低能量光子不透明的介质中进行通信的可能性。
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引用次数: 0
A KPI framework to standardize the measurement of a country’s progress in bringing quantum computing into application 量子计算应用进展的标准化衡量指标框架
IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-04 DOI: 10.1140/epjqt/s40507-024-00245-x
Quantum Technology and Application Consortium – QUTAC, Julia Binder, Lara Hachmann, Sebastian Luber

Quantum computing (QC) is a new and disruptive technology with large economic potential especially in application and downstream value creation stages. Hence, it is important for an economy to understand the current implementation state and to know the ecosystem to support the successful industrial application of this technology. Regularly identifying potential areas of improvement and then defining appropriate actions is necessary to ensure a leading position. Therefore, the Quantum Technology and Application Consortium (QUTAC) has developed a Key Performance Indicator (KPI) framework consisting of 24 KPIs that represent a country’s performance in applying QC. Detailed measurement guidelines and clear data sources ensure transparency of measurement, reproducibility of KPI values and comparability over time. An aggregation method allows summarizing the results of all KPIs. Thus, it is possible to assess the performance of each stakeholder involved and to calculate a single composite indicator that represents the country’s performance. The KPI framework can be adapted to any country and enables the comparison of the performance of different countries. It is a proposal for standardizing the evaluation of QC and its ecosystem on a national level. Thus, strengths and weaknesses can be identified and measurements for improvement derived. The paper highlights the development of the framework, its main features and the application of the framework to Germany. Based on the results, we will discuss the current state of QC application in Germany and make possible suggestions for improvement.

量子计算(QC)是一项全新的颠覆性技术,具有巨大的经济潜力,尤其是在应用和下游价值创造阶段。因此,对于一个经济体来说,重要的是了解当前的实施状态,并了解支持该技术成功工业应用的生态系统。要确保领先地位,就必须定期确定潜在的改进领域,然后确定适当的行动。因此,量子技术与应用联盟(QUTAC)制定了一个关键绩效指标(KPI)框架,由 24 个关键绩效指标组成,代表了一个国家在应用 QC 方面的绩效。详细的衡量准则和明确的数据来源确保了衡量的透明度、关键绩效指标值的可重复性和时间上的可比性。通过汇总方法可以总结所有关键绩效指标的结果。因此,可以评估每个相关利益方的绩效,并计算出代表国家绩效的单一综合指标。关键绩效指标框架可适用于任何国家,并可对不同国家的绩效进行比较。它建议在国家层面对质量控制及其生态系统进行标准化评估。因此,可以找出优缺点并制定改进措施。本文重点介绍了该框架的发展、主要特点以及该框架在德国的应用。在此基础上,我们将讨论德国质量控制应用的现状,并提出可能的改进建议。
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引用次数: 0
Synthesis of robust memory modes for linear quantum systems with unknown inputs 合成具有未知输入的线性量子系统的稳健记忆模式
IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-05-30 DOI: 10.1140/epjqt/s40507-024-00249-7
Zibo Miao, Xinpeng Chen, Yu Pan, Qing Gao

In this paper, the synthesis of robust memory modes for linear quantum passive systems in the presence of unknown inputs has been studied, aimed at facilitating secure storage and communication of quantum information. In particular, we can switch on decoherence-free (DF) modes in the storage stage by placing the poles on the imaginary axis via a coherent feedback control scheme, and these memory modes can further be simultaneously made robust against perturbations to the system parameters by minimizing the condition number associated with imaginary poles. The DF modes can also be switched off by tuning the controller parameters to place the poles in the left half of the complex plane in the writing/reading stage. We develop explicit algebraic conditions guiding the design of such a coherent quantum controller, which involves employing an augmented system model to counter the influence of unknown inputs. Examples are provided to illustrate the procedure of synthesizing robust memory modes for linear optical quantum systems.

本文研究了线性量子被动系统在未知输入情况下的稳健记忆模式的合成,旨在促进量子信息的安全存储和通信。特别是,我们可以通过相干反馈控制方案,在虚轴上设置极点,从而在存储阶段开启无退相干(DF)模式,并通过最小化与虚极点相关的条件数,进一步使这些记忆模式同时具有抵御系统参数扰动的鲁棒性。在写入/读取阶段,还可以通过调整控制器参数将极点置于复平面的左半部分来关闭 DF 模式。我们开发了明确的代数条件来指导这种相干量子控制器的设计,其中包括采用增强系统模型来抵消未知输入的影响。我们举例说明了为线性光量子系统合成稳健记忆模式的过程。
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引用次数: 0
Full quantum tomography study of Google’s Sycamore gate on IBM’s quantum computers 在 IBM 量子计算机上对谷歌梧桐门进行全量子层析研究
IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-05-27 DOI: 10.1140/epjqt/s40507-024-00248-8
Muhammad AbuGhanem, Hichem Eleuch

The potential of achieving computational hardware with quantum advantage depends heavily on the quality of quantum gate operations. However, the presence of imperfect two-qubit gates poses a significant challenge and acts as a major obstacle in developing scalable quantum information processors. Google’s Quantum AI and collaborators claimed to have conducted a supremacy regime experiment. In this experiment, a new two-qubit universal gate called the Sycamore gate is constructed and employed to generate random quantum circuits (RQCs), using a programmable quantum processor with 53 qubits. These computations were carried out in a computational state space of size (9 times 10^{15}). Nevertheless, even in strictly-controlled laboratory settings, quantum information on quantum processors is susceptible to various disturbances, including undesired interaction with the surroundings and imperfections in the quantum state. To address this issue, we conduct both quantum state tomography (QST) and quantum process tomography (QPT) experiments on Google’s Sycamore gate using different artificial architectural superconducting quantum computer. Furthermore, to demonstrate how errors affect gate fidelity at the level of quantum circuits, we design and conduct full QST experiments for the five-qubit eight-cycle circuit, which was introduced as an example of the programability of Google’s Sycamore quantum processor. These quantum tomography experiments are conducted in three distinct environments: noise-free, noisy simulation, and on IBM Quantum’s genuine quantum computer. Our results offer valuable insights into the performance of IBM Quantum’s hardware and the robustness of Sycamore gates within this experimental setup. These findings contribute to our understanding of quantum hardware performance and provide valuable information for optimizing quantum algorithms for practical applications.

实现具有量子优势的计算硬件的潜力在很大程度上取决于量子门操作的质量。然而,不完美的双量子比特门的存在带来了巨大挑战,成为开发可扩展量子信息处理器的主要障碍。谷歌的量子人工智能与合作者声称已经进行了一次至高机制实验。在这项实验中,他们构建了一个名为 "梧桐门 "的新型双量子比特通用门,并利用一个拥有 53 个量子比特的可编程量子处理器来生成随机量子电路(RQC)。这些计算是在一个大小为(9乘以10^{15})的计算状态空间中进行的。然而,即使在严格控制的实验室环境中,量子处理器上的量子信息也很容易受到各种干扰,包括与周围环境的意外交互和量子态的不完美。为了解决这个问题,我们使用不同的人工架构超导量子计算机,在谷歌梧桐门上进行了量子态层析成像(QST)和量子过程层析成像(QPT)实验。此外,为了证明误差如何影响量子电路层面的栅极保真度,我们为五量子比特八周期电路设计并进行了完整的量子态层析成像(QST)实验,该电路是作为谷歌 Sycamore 量子处理器可编程性的一个例子引入的。这些量子层析成像实验在三种不同的环境中进行:无噪声、噪声模拟以及 IBM Quantum 真正的量子计算机。我们的结果为了解 IBM Quantum 硬件的性能以及 Sycamore 门在此实验设置中的鲁棒性提供了宝贵的见解。这些发现有助于我们了解量子硬件的性能,并为优化实际应用中的量子算法提供了宝贵的信息。
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引用次数: 0
Different secure semi-quantum summation models without measurement 无需测量的不同安全半量子求和模型
IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-05-22 DOI: 10.1140/epjqt/s40507-024-00247-9
Yuan Tian, Nanyijia Zhang, Chongqiang Ye, Genqing Bian, Jian Li

Secure semi-quantum summation entails the collective computation of the sum of private secrets by multi-untrustworthy and resource-limited participants, facilitated by a quantum third-party. This paper introduces three semi-quantum summation protocols based on single photons, where eliminating the need for classical users to possess measurement capabilities. Two-party protocol 1 and protocol 2 are structured upon different models: star and ring, respectively. The security analysis extensively evaluates the protocols’ resilience against outside and inside attacks, demonstrating protocols are asymptotically secure. Protocol 3 extends two-party protocol 1 to multi-party scenarios, broadening its applicability. Comparison reveals a reduction in the workload for classical users compared to previous similar protocols, and the protocols’ correctness are visually validated through simulation by Qiskit.

安全半量子求和需要在量子第三方的协助下,由多个不可信且资源有限的参与者集体计算私人秘密的总和。本文介绍了三种基于单光子的半量子求和协议,消除了经典用户对测量能力的需求。双方协议 1 和协议 2 分别基于不同的模型:星形和环形。安全分析广泛评估了协议对外部和内部攻击的抵御能力,证明协议是渐进安全的。协议 3 将两方协议 1 扩展到多方场景,扩大了其适用范围。通过比较发现,与以前的类似协议相比,经典用户的工作量有所减少,协议的正确性也通过 Qiskit 的模拟得到了直观验证。
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引用次数: 0
Holonomic swap and controlled-swap gates of neutral atoms via selective Rydberg pumping 通过选择性雷德贝格泵浦实现中性原子的整体交换和受控交换门
IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-05-21 DOI: 10.1140/epjqt/s40507-024-00246-w
C. F. Sun, X. Y. Chen, W. L. Mu, G. C. Wang, J. B. You, X. Q. Shao

Holonomic quantum computing offers a promising paradigm for quantum computation due to its error resistance and the ability to perform universal quantum computations. Here, we propose a scheme for the rapid implementation of a holonomic swap gate in neutral atomic systems, based on the selective Rydberg pumping mechanism. By employing time-dependent soft control, we effectively mitigate the impact of off-resonant terms even at higher driving intensities compared to time-independent driving. This approach accelerates the synthesis of logic gates and passively reduces the decoherence effects. Furthermore, by introducing an additional atom and applying the appropriate driving field, our scheme can be directly extended to implement a three-qubit controlled-swap gate. This advancement makes it a valuable tool for quantum state preparation, quantum switches, and a variational quantum algorithm in neutral atom systems.

整体量子计算因其抗错性和执行通用量子计算的能力,为量子计算提供了一个前景广阔的范例。在此,我们基于选择性雷德贝格泵机制,提出了一种在中性原子系统中快速实现全量子交换门的方案。通过采用随时间变化的软控制,与随时间变化的驱动相比,即使在更高的驱动强度下,我们也能有效减轻非共振项的影响。这种方法加速了逻辑门的合成,并被动地降低了退相干效应。此外,通过引入额外的原子并应用适当的驱动场,我们的方案可以直接扩展到实现三量子位受控交换门。这一进步使它成为中性原子系统中量子态制备、量子开关和可变量子算法的重要工具。
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引用次数: 0
期刊
EPJ Quantum Technology
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