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Fast generation of GHZ state by designing the evolution operators with Rydberg superatom 通过设计具有雷德贝格超原子的演化算子快速生成 GHZ 状态
IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2024-11-18 DOI: 10.1007/s11128-024-04587-4
J. P. Wang, L. P. Yang, Y. Q. Ji, Y. L. Liu, L. Dong, X. M. Xiu

In this paper, we propose an efficient scheme to fast generate three-particle Greenberger–Horne–Zeilinger (GHZ) state based on quantum Zeno dynamics and designing the evolution operators with Rydberg superatom. In the present scheme, the quantum information is encoded in the collective states of superatom which contains n individual four-level inverted Y-type Rydberg atoms, and the Rabi frequency can be fitted to a Gaussian function, which favors experimental feasibility. In addition, the influence of various decoherence factors such as atomic spontaneous emission, cavity decay and fiber leakage is also considered. The numerical simulation result shows that the present scheme is robust against decoherence and operational imperfection. At last, we generalize this scheme to the generation of N-particle GHZ state.

本文提出了一种基于量子泽诺动力学的快速生成三粒子格林伯格-霍恩-蔡林格(Greenberger-Horne-Zeilinger,GHZ)态的高效方案,并设计了雷德贝格超原子的演化算子。在本方案中,量子信息被编码在超原子的集合态中,超原子包含 n 个独立的四电平倒 Y 型雷德堡原子,其 Rabi 频率可拟合为高斯函数,这有利于实验的可行性。此外,还考虑了原子自发辐射、空腔衰变和光纤泄漏等各种退相干因素的影响。数值模拟结果表明,本方案对退相干和操作不完善具有鲁棒性。最后,我们将该方案推广到 N 粒子 GHZ 状态的产生。
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引用次数: 0
An improved circuit for Shor’s factoring algorithm using (2n+2) qubits 利用(2n+2)量子位的Shor因子分解算法的改进电路
IF 2.5 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-11-06 DOI: 10.1007/s11128-023-04159-y
Song Xiuli, Wen Liangsen

Due to the existence of decoherence, researchers are limited in controlling large-scale qubits, which also prevents the application of Shor’s factoring algorithm in the case of large-scale qubits for the time being. To reduce the number of qubits required when using Shor’s factoring algorithm, by using borrowed ancilla qubits and reducing the number of gates in the constant addition circuit, a new quantum circuit for Shor’s factoring algorithm is proposed. The designed circuit works on (2n+2) qubits, in practice is about 35% and 40% less than the best circuit of Takahashi et al. (Quantum Inf Comput 5(6):440–448, 2005) and Haner et al. (Quantum Inf Comput 17(7 &8):673–684, 2017) in terms of depth and size, respectively. Also, the designed circuit is completely general, and it does not depend on any property of the composite number to be factorized. Finally, we use Python with Qiskit to implement and simulate our circuit.

由于退相干的存在,研究人员在控制大规模量子位方面受到限制,这也暂时阻止了Shor因子分解算法在大规模量子位数情况下的应用。为了减少使用Shor因子分解算法时所需的量子位数量,通过使用借来的ancilla量子位并减少常加法电路中的门的数量,提出了一种用于Shor因子因子分解算法的新量子电路。所设计的电路在(2n+2)量子位上工作,在实践中,在深度和大小方面分别比Takahashi等人的最佳电路(Quantum Inf Comput 5(6):440–4482005)和Haner等人(Quantum Inf Comput 17(7和8):673–6842017)低约35%和40%。此外,所设计的电路是完全通用的,它不依赖于要因子分解的复数的任何性质。最后,我们使用Python和Qiskit来实现和模拟我们的电路。
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引用次数: 0
XIRAC-Q: a near-real-time quantum operating system scheduling structure based on Shannon information theorem XIRAC-Q:一种基于Shannon信息定理的近实时量子操作系统调度结构
IF 2.5 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-11-06 DOI: 10.1007/s11128-023-04155-2
Alireza Zirak

In the race for quantum computing supremacy, the key factor lies in maximizing the number of stable qubits by far, as each additional qubit doubles the computing power. Namely, it makes sense various ecosystems of organizations and developers gravitate toward these extraordinarily expensive supercomputers. Concurrently, the drive to democratize quantum computing has given rise to cloud-based operating systems built upon classical models. However, a growing demand forecast underscores the need for executing an infinite stream of near-real-time quantum tasks accessible via the cloud. This vacancy represents a potential boundary between quantum and classical operating systems. To address this, a refinement method called XIRAC-Q is introduced, which harnesses the principles of information theory for optimization. By maximizing the entropy toleration of the system, our approach enhances overall performance, particularly as the number of processes and tasks approaches infinity. Unlike the limited literature that has explored information theory principles solely for task priority alignment in classical computers, yielding limited advantage, our work integrates information theory and entropy in the design cycle of quantum operating system infrastructure. This paper highlights the novel advantages offered by the proposed paradigm, encompassing improved performance, scalability, and adaptability, which are thoroughly explained and explored.

在争夺量子计算霸权的竞争中,关键因素在于到目前为止最大限度地增加稳定量子位的数量,因为每增加一个量子位,计算能力就会翻倍。也就是说,组织和开发人员的各种生态系统都被这些极其昂贵的超级计算机所吸引,这是有道理的。与此同时,量子计算民主化的驱动力催生了基于经典模型的云操作系统。然而,不断增长的需求预测强调了执行可通过云访问的无限流近乎实时的量子任务的必要性。这个空位代表了量子操作系统和经典操作系统之间的潜在边界。为了解决这个问题,引入了一种称为XIRAC-Q的细化方法,该方法利用信息论的原理进行优化。通过最大化系统的熵容忍度,我们的方法提高了整体性能,特别是在进程和任务数量接近无穷大的情况下。与传统计算机中仅为任务优先级调整而探索信息论原理的有限文献不同,我们的工作将信息论和熵集成到量子操作系统基础设施的设计周期中,从而产生了有限的优势。本文强调了所提出的范式提供的新优势,包括改进的性能、可扩展性和适应性,并对其进行了深入的解释和探索。
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引用次数: 0
On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures 关于协变测度扰动下量子动力学半群演化状态的重构
IF 2.5 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-11-04 DOI: 10.1007/s11128-023-04162-3
G. G. Amosov, E. L. Baitenov, A. N. Pechen

In this work, we show the ability to restore states of quantum systems from evolution induced by quantum dynamical semigroups perturbed by covariant measures. Our procedure describes reconstruction of quantum states transmitted via quantum channels, and as a particular example, it can be applied to the reconstruction of photonic states transmitted via optical fibers. For this, the concept of perturbation by covariant operator-valued measure in a Banach space is introduced and integral representation of the perturbed semigroup is explicitly constructed. Various physically meaningful examples are provided. In particular, a model of the perturbed dynamics in the symmetric (boson) Fock space is developed as covariant measure for a semiflow of shifts and its perturbation in the symmetric Fock space, and its properties are investigated. Another example may correspond to the Koopman–von Neumann description of a classical oscillator with bounded phase space.

在这项工作中,我们展示了从由协变测度扰动的量子动力学半群引起的演化中恢复量子系统状态的能力。我们的程序描述了通过量子通道传输的量子态的重建,作为一个特殊的例子,它可以应用于通过光纤传输的光子态的重建。为此,引入了Banach空间中协变算子值测度的扰动概念,并显式构造了扰动半群的积分表示。提供了各种物理上有意义的例子。特别地,建立了对称(玻色子)Fock空间中的扰动动力学模型,作为对称Fock空间上位移半流及其扰动的协变测度,并研究了其性质。另一个例子可能对应于Koopman–von Neumann对具有有界相空间的经典振荡器的描述。
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引用次数: 0
Comments on “Efficient classical simulation of the Deutsch–Jozsa and Simon’s algorithms” 关于“Deutsch-Jozsa和Simon算法的高效经典模拟”的评论
IF 2.5 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-11-03 DOI: 10.1007/s11128-023-04134-7
Carlos A. Batista, Tiago M. L. de Veras, Leon D. da Silva, Adenilton J. da Silva

A recent paper (Quantum Info. Process 16.9, 2017) proposes a classical framework named Quantum Simulation Logic (QSL) capable of an efficient classical simulation of Deutsch–Jozsa and Simon algorithms. In this comment, we show instances of the Deutsch–Jozsa (DJ) and the Simon quantum algorithms that generate incorrect results with the QSL version, contradicting the proposal and the main results of the original paper.

最近的一篇论文(Quantum Info.Process 16.92017)提出了一个名为量子模拟逻辑(QSL)的经典框架,该框架能够有效模拟Deutsch–Jozsa和Simon算法。在这篇评论中,我们展示了Deutsch–Jozsa(DJ)和Simon量子算法的实例,它们在QSL版本中产生了不正确的结果,与原始论文的建议和主要结果相矛盾。
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引用次数: 0
Quantum teleportation based on non-maximally entangled graph states 基于非最大纠缠图态的量子隐形传态
IF 2.5 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-11-03 DOI: 10.1007/s11128-023-04157-0
Yi Ding, Yuzheng Wei, Zongyi Li, Min Jiang

In recent years, the development of graph states has opened a bright prospect for the generation of multipartite entangled states. However, due to the influences of noises in the surroundings, the obtained graph states may not be maximally entangled, which have been rarely explored previously. In this paper, we first consider how to generate one particular graph state which is named as the non-maximally entangled graph state. Next, we analyze the properties of the non-maximally entangled graph states and introduce two different kinds of graph states according to the entanglement of the non-maximally entangled graph states. Finally, we demonstrate how to teleport arbitrary unknown single-qubit state by using the non-maximally graph states. Compared with previous teleportation protocol, it demonstrates higher efficiency and lower operational complexity. We expect that our works can provide a theoretical instruction for the future study of the graph states.

近年来,图态的发展为多部分纠缠态的产生开辟了光明的前景。然而,由于周围环境中噪声的影响,所获得的图状态可能不会被最大程度地纠缠,这在以前很少被探索。在本文中,我们首先考虑如何生成一个特定的图状态,称为非最大纠缠图状态。接下来,我们分析了非最大纠缠图态的性质,并根据非最大纠缠的图态的纠缠引入了两种不同的图态。最后,我们演示了如何利用非最大图态来传送任意未知的单量子比特态。与以前的传送协议相比,它具有更高的效率和更低的操作复杂度。我们期望我们的工作能够为未来的图态研究提供理论指导。
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引用次数: 0
New quantum surface codes from semi-regular tessellations 基于半规则镶嵌的新量子表面码
IF 2.5 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-11-03 DOI: 10.1007/s11128-023-04147-2
Eduardo Brandani da Silva, Evandro Mazetto Brizola, Waldir Silva Soares Jr., Douglas Fernando Copatti

Current work presents a new approach to quantum surface codes on compact surfaces with genus (g ge 2) using the identification of these surfaces with hyperbolic polygons and hyperbolic semi-regular tessellations. This method generalizes other contructions, and we show that this approach may give rise to codes with very good parameters. We present tables with several examples of these codes whose parameters had not been shown before.

目前的工作提出了一种在亏格为(gge2)的紧致曲面上使用双曲多边形和双曲半规则镶嵌来识别这些曲面的量子表面码的新方法。这种方法推广了其他构造,我们证明了这种方法可以产生具有很好参数的代码。我们在表格中列出了这些代码的几个示例,这些代码的参数以前没有显示过。
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引用次数: 0
A user-centric quantum benchmarking test suite and evaluation framework 以用户为中心的量子基准测试套件和评估框架
IF 2.5 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-10-31 DOI: 10.1007/s11128-023-04154-3
WenBo Liu, Fei Wang, Han Lin, JianDong Shang

This article proposes a benchmark testing set and evaluation system for quantum computers. Our tests do not focus on the topology of quantum computers or the specific implementation details of preparing quantum bits. Instead, we examine the overall performance of quantum computers from the perspective of users. Inspired by traditional computer benchmark tests such as SPECCPU2017, we integrate existing scalable quantum applications and algorithms to generate a testing set that covers algorithms such as search, machine learning, factorization, portfolio optimization, and entanglement state preparation, effectively simulating real workloads. By running the testing set, we can understand the performance of current quantum computers and generate a comprehensive score by combining our evaluation system, which consists of sub-scores of various backend features, including quantum gate error rate, entanglement between quantum bits, cross talk, and connectivity. These sub-scores are calculated based on the program features of the testing cases combined with their running results, where the program features are analyzed through the logical circuits of the testing cases. We incorporate Hellinger fidelity and polarization rescaling into each benchmark to calculate the fidelity of the running results. Through our evaluation system, researchers can be guided toward research directions and understand how far quantum computers are from solving practical problems.

本文提出了一个用于量子计算机的基准测试集和评估系统。我们的测试并不关注量子计算机的拓扑结构或制备量子比特的具体实现细节。相反,我们从用户的角度来考察量子计算机的整体性能。受SPECCPU2017等传统计算机基准测试的启发,我们集成了现有的可扩展量子应用程序和算法,生成了一个测试集,涵盖了搜索、机器学习、因子分解、组合优化和纠缠状态准备等算法,有效地模拟了真实的工作负载。通过运行测试集,我们可以了解当前量子计算机的性能,并通过结合我们的评估系统生成综合分数,该系统由各种后端特征的子分数组成,包括量子门错误率、量子比特之间的纠缠、串扰和连接性。这些子分数是根据测试用例的程序特征及其运行结果计算的,其中通过测试用例的逻辑电路来分析程序特征。我们将Hellinger保真度和偏振重缩放纳入每个基准,以计算运行结果的保真度。通过我们的评估系统,研究人员可以被引导到研究方向,并了解量子计算机离解决实际问题还有多远。
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引用次数: 0
Transmon-photon entanglement by engineering shortcuts with optimized drivings 通过优化驱动的工程快捷方式实现Transmon光子纠缠
IF 2.5 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-10-30 DOI: 10.1007/s11128-023-04152-5
Zhi-Bo Feng, Run-Ying Yan

The generation of entangled states in an optimized way is crucial to quantum information science and technology. Here, we propose an effective scheme for rapidly creating the entangled states between a transmon qubit and microwave photons by the technique of shortcuts to adiabaticity. An artificial atom of transmon circuit is coupled to a quantized resonator and a classical driving. The transmon-photon entanglement can be fast induced by inversely engineering the invariant-based Rabi drivings. Comparatively, the present scheme not only reduces the driving number but also employs the Rabi drivings with constant amplitudes. Furthermore, the operation fidelities can be enhanced due to a shorter duration time. Our work could offer an optimized avenue towards fast and robust information processing with superconducting qubits in a cavity.

以优化的方式产生纠缠态对量子信息科学和技术至关重要。在这里,我们提出了一种有效的方案,通过绝热捷径技术快速创建传输子量子位和微波光子之间的纠缠态。transmon电路中的人造原子被耦合到量化谐振器和经典驱动。通过反向工程基于不变量的拉比驱动,可以快速诱导transmon光子纠缠。相比之下,本方案不仅减少了驱动次数,而且采用了具有恒定振幅的拉比驱动。此外,由于持续时间较短,可以提高操作的可信度。我们的工作可以为在腔中使用超导量子位进行快速、稳健的信息处理提供一条优化的途径。
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引用次数: 0
Quantum computation of phase transition in interacting scalar quantum field theory 相互作用标量量子场论中相变的量子计算
IF 2.5 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Pub Date : 2023-10-30 DOI: 10.1007/s11128-023-04149-0
Shane Thompson, George Siopsis

It has been demonstrated that the critical point of the phase transition in scalar quantum field theory with a quartic interaction in one space dimension can be approximated via a Gaussian Effective Potential (GEP). We discuss how this critical point can be estimated using quantum hardware. Performing quantum computations with various lattice sizes, we obtain evidence of a transition from a symmetric to a symmetry-broken phase using both discrete- and continuous-variable quantum computation. The ten-site case is implemented on IBM quantum hardware using the Variational Quantum Eigensolver algorithm to minimize the GEP and identify lattice level crossings. These are extrapolated via simulations to find the continuum critical point.

已经证明,在一维四次相互作用的标量量子场论中,相变的临界点可以通过高斯有效势(GEP)来近似。我们讨论了如何使用量子硬件来估计这个临界点。在进行各种晶格尺寸的量子计算时,我们使用离散和连续变量量子计算获得了从对称断相到对称断相转变的证据。使用变分量子特征解算器算法在IBM量子硬件上实现了十个站点的情况,以最小化GEP并识别晶格能级交叉。这些是通过模拟来推断的,以找到连续体的临界点。
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引用次数: 1
期刊
Quantum Information Processing
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