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Variational Amplitude Amplification for Solving QUBO Problems 变分振幅放大求解QUBO问题
Q2 Physics and Astronomy Pub Date : 2023-10-01 DOI: 10.3390/quantum5040041
Daniel Koch, Massimiliano Cutugno, Saahil Patel, Laura Wessing, Paul M. Alsing
We investigate the use of amplitude amplification on the gate-based model of quantum computing as a means for solving combinatorial optimization problems. This study focuses primarily on quadratic unconstrained binary optimization (QUBO) problems, which are well-suited for qubit superposition states. Specifically, we demonstrate circuit designs which encode QUBOs as ‘cost oracle’ operations UC, which distribute phases across the basis states proportional to a cost function. We then show that when UC is combined with the standard Grover diffusion operator Us, one can achieve high probabilities of measurement for states corresponding to optimal and near optimal solutions while still only requiring O(π42N/M) iterations. In order to achieve these probabilities, a single scalar parameter ps is required, which we show can be found through a variational quantum–classical hybrid approach and can be used for heuristic solutions.
我们研究了在基于门的量子计算模型上使用振幅放大作为解决组合优化问题的一种手段。本研究主要关注二次无约束二进制优化(QUBO)问题,该问题非常适合量子比特叠加态。具体来说,我们演示了将qubo编码为“成本预测”操作UC的电路设计,该设计将相位分布在与成本函数成比例的基态上。然后,我们证明了当UC与标准Grover扩散算子Us结合时,可以在只需要O(π42N/M)迭代的情况下获得最优解和近最优解对应的状态的高测量概率。为了实现这些概率,需要单个标量参数ps,我们表明可以通过变分量子-经典混合方法找到该参数,并可用于启发式解。
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引用次数: 1
Reality Does Not Shine, It Twinkles 现实不闪耀,它闪烁
Q2 Physics and Astronomy Pub Date : 2023-09-25 DOI: 10.3390/quantum5040040
William Sulis
Arguments have been made that the violation of the CHSH and similar inequalities shows that reality at the quantum level must be non-local. The derivation of Bell inequality is re-examined, and it is shown that violations of these inequalities merely demonstrate the existence of contextuality—they say nothing about the causal influences underlying such contextuality. It is argued that contextual systems do not possess enduring (propositional) properties, merely contingent properties. An example of a classical situation is presented: a two-player co-operative game, the random variables of which are consistently connected in the sense of Dzhafarov, which is contextual, and violates the CHSH inequality. In fact, it also violates the Tsirel’son bound. The key is that this system is generated, and its properties are disposed of, not determined.
有人提出,对CHSH和类似不等式的违反表明,量子水平上的现实必须是非局域的。对贝尔不等式的推导进行了重新检验,结果表明,违反这些不等式仅仅证明了情境性的存在——它们没有说明这种情境性背后的因果影响。本文认为语境系统不具有持久的(命题的)属性,而仅仅具有偶然的属性。本文给出了一个经典情境的例子:一个双人合作游戏,其中的随机变量在Dzhafarov的意义上始终相连,这是情境性的,并且违反了CHSH不等式。事实上,它也违反了Tsirel 'son界限。关键是这个系统是生成的,它的属性是处理的,而不是确定的。
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引用次数: 0
Research Trends in Quantum Computers by Focusing on Qubits as Their Building Blocks 以量子比特为基础的量子计算机研究趋势
Q2 Physics and Astronomy Pub Date : 2023-09-13 DOI: 10.3390/quantum5030039
Mohamad Taghi Dejpasand, Morteza Sasani Ghamsari
Quantum computing is a rapidly developing field that has the potential to revolutionize the way we process data. In this article, we will introduce quantum computers, their hardware and the challenges associated with their development. One of the key concepts in quantum computing is the qubit, which is the basic unit of quantum information. We will discuss this concept in greater detail, exploring how qubits work and the unique properties that make them so powerful. There are currently three leading models of quantum computers: superconducting, ion trap, and neutral-atom qubits. We will compare these models, highlighting their respective advantages and limitations, and discuss the current state of research in each area. In addition to exploring the hardware of quantum computers, we will also introduce some of the innovative research projects related to qubits. Finally, we will examine the market around the quantum computing industry, outlining some of the fundamental challenges we may face.
量子计算是一个快速发展的领域,有可能彻底改变我们处理数据的方式。在本文中,我们将介绍量子计算机,它们的硬件以及与它们的发展相关的挑战。量子计算的关键概念之一是量子比特,它是量子信息的基本单位。我们将更详细地讨论这个概念,探索量子比特是如何工作的,以及使它们如此强大的独特属性。目前有三种主要的量子计算机模型:超导、离子阱和中性原子量子比特。我们将比较这些模型,突出它们各自的优势和局限性,并讨论每个领域的研究现状。除了探索量子计算机的硬件外,我们还将介绍一些与量子比特相关的创新研究项目。最后,我们将研究量子计算行业的市场,概述我们可能面临的一些基本挑战。
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引用次数: 1
Personal Identity and Uncertainty in the Everett Interpretation of Quantum Mechanics 埃弗雷特量子力学解释中的个人同一性和不确定性
Q2 Physics and Astronomy Pub Date : 2023-09-11 DOI: 10.3390/quantum5030038
Zhonghao Lu
The deterministic nature of EQM (the Everett Interpretation of Quantum Mechanics) seems to be inconsistent with the use of probability in EQM, giving rise to what is known as the “incoherence problem”. In this paper, I explore approaches to solve the incoherence problem of EQM via pre-measurement uncertainty. Previous discussions on the validity of pre-measurement uncertainty have leaned heavily on intricate aspects of the theory of semantics and reference, the embrace of either four-dimensionalism or three-dimensionalism of personhood, or the ontology of EQM. In this paper, I argue that, regardless of the adoption of three-dimensionalism or four-dimensionalism of personhood, the overlapping view or the divergence view of the ontology of EQM, the pre-measurement uncertainty approach to the incoherence problem of EQM can only achive success while contradicting fundamental principles of physicalism. I also use the divergence view of EQM as an example to illustrate my analyses.
EQM(量子力学的埃弗雷特解释)的确定性性质似乎与EQM中概率的使用不一致,从而产生了所谓的“非相干问题”。本文探讨了利用测量前不确定度解决EQM不相干问题的方法。先前关于测量前不确定性有效性的讨论严重依赖于语义和指称理论的复杂方面,对人格的四维或三维的拥抱,或EQM的本体论。本文认为,无论采用人格的三维论还是四维论,无论采用EQM本体论的重叠观还是发散观,用测量前不确定性方法解决EQM的非相干性问题,都只能在与物理主义的基本原理相矛盾的情况下取得成功。我还使用EQM的发散视图作为示例来说明我的分析。
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引用次数: 0
Optical Dromions for Spatiotemporal Fractional Nonlinear System in Quantum Mechanics 量子力学中时空分数阶非线性系统的光学子
Q2 Physics and Astronomy Pub Date : 2023-07-18 DOI: 10.3390/quantum5030036
Ihsan A. Khoso, Nek Muhammad Katbar, U. Akram
In physics, mathematics, and other disciplines, new integrable equations have been found using the P-test. Novel insights and discoveries in several domains have resulted from this. Whether a solution is oscillatory, decaying, or expanding exponentially can be observed by using the AEM approach. In this work, we examined the integrability of the triple nonlinear fractional Schrödinger equation (TNFSE) via the Painlevé test (P-test) and a number of optical solitary wave solutions such as bright dromions (solitons), hyperbolic, singular, periodic, domain wall, doubly periodic, trigonometric, dark singular, plane-wave solution, combined optical solitons, rational solutions, etc., via the auxiliary equation mapping (AEM) technique. In mathematical physics and in engineering sciences, this equation plays a very important role. Moreover, the graphical representation (3D, 2D, and contour) of the obtained optical solitary-wave solutions will facilitate the understanding of the physical phenomenon of this system. The computational work and conclusions indicate that the suggested approaches are efficient and productive.
在物理学、数学和其他学科中,使用p检验发现了新的可积方程。由此产生了几个领域的新见解和新发现。溶液是振荡的、衰减的还是指数膨胀的,都可以通过AEM方法来观察。本文通过painlev检验(p检验)检验了三重非线性分数阶Schrödinger方程(TNFSE)的可积性,并通过辅助方程映射(AEM)技术检验了明亮孤子(孤子)、双曲、奇异、周期、域壁、双周期、三角、暗奇异、平面波解、组合光孤子、有理解等一系列光孤波解的可积性。在数学物理和工程科学中,这个方程起着非常重要的作用。此外,获得的光孤立波解的图形表示(3D, 2D和轮廓)将有助于理解该系统的物理现象。计算结果表明,所提出的方法是有效的。
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引用次数: 0
Control Landscape of Measurement-Assisted Transition Probability for a Three-Level Quantum System with Dynamical Symmetry 具有动态对称性的三能级量子系统的测量辅助跃迁概率的控制景观
Q2 Physics and Astronomy Pub Date : 2023-07-13 DOI: 10.3390/quantum5030035
Maria Elovenkova, A. Pechen
Quantum systems with dynamical symmetries have conserved quantities that are preserved under coherent control. Therefore, such systems cannot be completely controlled by means of only coherent control. In particular, for such systems, the maximum transition probability between some pairs of states over all coherent controls can be less than one. However, incoherent control can break this dynamical symmetry and increase the maximum attainable transition probability. The simplest example of such a situation occurs in a three-level quantum system with dynamical symmetry, for which the maximum probability of transition between the ground and intermediate states using only coherent control is 1/2, whereas it is about 0.687 using coherent control assisted by incoherent control implemented through the non-selective measurement of the ground state, as was previously analytically computed. In this work, we study and completely characterize all critical points of the kinematic quantum control landscape for this measurement-assisted transition probability, which is considered as a function of the kinematic control parameters (Euler angles). The measurement-driven control used in this work is different from both quantum feedback and Zeno-type control. We show that all critical points are global maxima, global minima, saddle points or second-order traps. For comparison, we study the transition probability between the ground and highest excited states, as well as the case when both these transition probabilities are assisted by incoherent control implemented through the measurement of the intermediate state.
具有动力学对称性的量子系统具有在相干控制下保持的守恒量。因此,这种系统不能仅仅通过相干控制来完全控制。特别地,对于这样的系统,在所有相干控制上,一些状态对之间的最大转移概率可以小于1。然而,非相干控制可以打破这种动力学对称性,并增加可达到的最大跃迁概率。这种情况的最简单例子发生在具有动态对称性的三能级量子系统中,对于该系统,仅使用相干控制在基态和中间态之间跃迁的最大概率为1/2,而使用相干控制辅助通过非选择性测量基态实现的非相干控制的最大概率约为0.687,如先前分析计算的。在这项工作中,我们研究并完全表征了这种测量辅助跃迁概率的运动学量子控制景观的所有临界点,该跃迁概率被认为是运动学控制参数(欧拉角)的函数。本工作中使用的测量驱动控制不同于量子反馈和Zeno型控制。我们证明了所有的临界点都是全局极大值、全局极小值、鞍点或二阶陷阱。为了进行比较,我们研究了基态和最高激发态之间的跃迁概率,以及通过测量中间态实现的非相干控制辅助这两种跃迁概率的情况。
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引用次数: 2
Quantum Probability from Temporal Structure 从时间结构看量子概率
Q2 Physics and Astronomy Pub Date : 2023-06-12 DOI: 10.3390/quantum5020033
M. Ridley
The Born probability measure describes the statistics of measurements in which observers self-locate themselves in some region of reality. In ψ-ontic quantum theories, reality is directly represented by the wavefunction. We show that quantum probabilities may be identified using fractions of a universal multiple-time wavefunction containing both causal and retrocausal temporal parts. This wavefunction is defined in an appropriately generalized history space on the Keldysh time contour. Our deterministic formulation of quantum mechanics replaces the initial condition of standard Schrödinger dynamics, with a network of ‘fixed points’ defining quantum histories on the contour. The Born measure is derived by summing up the wavefunction along these histories. We then apply the same technique to the derivation of the statistics of measurements with pre- and postselection.
Born概率测度描述了观察者在现实的某个区域自我定位的测量统计数据。在ψ-本体量子理论中,真实性直接由波函数表示。我们证明,量子概率可以使用包含因果和后因果时间部分的通用多重时间波函数的分数来识别。该波函数是在Keldysh时间轮廓上的适当广义历史空间中定义的。我们的量子力学确定性公式取代了标准薛定谔动力学的初始条件,用一个定义轮廓上量子历史的“不动点”网络。Born测度是通过对这些历史上的波函数求和得出的。然后,我们将同样的技术应用于导出选举前和选举后的测量统计数据。
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引用次数: 0
Hydrogen-like Plasmas under Endohedral Cavity 自形腔下的类氢等离子体
Q2 Physics and Astronomy Pub Date : 2023-05-30 DOI: 10.3390/quantum5020030
S. Chowdhury, Neetik Mukherjee, Amlan K. Roy
Over the past few decades, confined quantum systems have emerged to be a subject of considerable importance in physical, chemical and biological sciences. Under such stressed conditions, they display many fascinating and notable physical and chemical properties. Here we address this situation by using two plasma models, namely a weakly coupled plasma environment mimicked by a Debye-Hückel potential (DHP) and an exponential cosine screened Coulomb potential (ECSCP). On the other hand, the endohedral confinement is achieved via a Woods-Saxon (WS) potential. The critical screening constant, dipole oscillator strength (OS) and polarizability are investigated for an arbitrary state. A Shannon entropy-based strategy has been invoked to study the phase transition here. An increase in Z leads to larger critical screening. Moreover, a detailed investigation reveals that there exists at least one bound state in such plasmas. Pilot calculations are conducted for some low-lying states (ℓ=1−5) using a generalized pseudo spectral scheme, providing optimal, non-uniform radial discretization.
在过去的几十年里,受限量子系统已经成为物理、化学和生物科学中一个相当重要的学科。在这样的压力条件下,它们表现出许多迷人而显著的物理和化学特性。在这里,我们通过使用两个等离子体模型来解决这种情况,即由Debye-Hückel势(DHP)和指数余弦屏蔽库仑势(ECSCP)模拟的弱耦合等离子体环境。另一方面,通过Woods-Saxon(WS)势实现了内面体约束。研究了任意状态下的临界屏蔽常数、偶极振子强度和极化率。基于香农熵的策略被用来研究相变。Z的增加导致更大的临界筛查。此外,一项详细的研究表明,在这种等离子体中至少存在一种束缚态。对一些低洼州进行了初步计算(ℓ=1−5),提供最优的、非均匀的径向离散化。
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引用次数: 1
Anomalous Relaxation and Three-Level System: A Fractional Schrödinger Equation Approach 反常松弛与三能级系统:分数阶薛定谔方程方法
Q2 Physics and Astronomy Pub Date : 2023-05-26 DOI: 10.3390/quantum5020029
E. Lenzi, E. C. Gabrick, E. Sayari, A. S. M. de Castro, J. Trobia, Antonio M. Batista
We investigate a three-level system in the context of the fractional Schrödinger equation by considering fractional differential operators in time and space, which promote anomalous relaxations and spreading of the wave packet. We first consider the three-level system omitting the kinetic term, i.e., taking into account only the transition among the levels, to analyze the effect of the fractional time derivative. Afterward, we incorporate a kinetic term and the fractional derivative in space to analyze simultaneous wave packet transition and spreading among the levels. For these cases, we obtain analytical and numerical solutions. Our results show a wide variety of behaviors connected to the fractional operators, such as the non-conservation of probability and the anomalous spread of the wave packet.
我们在分数阶薛定谔方程的背景下,通过考虑时间和空间上的分数阶微分算子,研究了一个三能级系统,这些算子促进了波包的异常弛豫和扩展。我们首先考虑省略动力学项的三能级系统,即只考虑能级之间的跃迁,以分析分数时间导数的影响。然后,我们结合动力学项和空间中的分数导数来分析同时发生的波包跃迁和在能级之间的传播。对于这些情况,我们得到了解析解和数值解。我们的结果显示了与分数算子有关的各种行为,例如概率的不守恒和波包的异常扩展。
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引用次数: 1
The Open Systems View and the Everett Interpretation 开放系统观与埃弗雷特解释
Q2 Physics and Astronomy Pub Date : 2023-04-28 DOI: 10.3390/quantum5020027
Michael E. Cuffaro, S. Hartmann
It is argued that those who defend the Everett, or ‘many-worlds’, interpretation of quantum mechanics should embrace what we call the general quantum theory of open systems (GT) as the proper framework in which to conduct foundational and philosophical investigations in quantum physics. GT is a wider dynamical framework than its alternative, standard quantum theory (ST). This is true even though GT makes no modifications to the quantum formalism. GT rather takes a different view, what we call the open systems view, of the formalism; i.e., in GT, the dynamics of systems whose physical states are fundamentally represented by density operators are represented as fundamentally open as specified by an in general non-unitary dynamical map. This includes, in principle, the dynamics of the universe as a whole. We argue that the more general dynamics describable in GT can be physically motivated, that there is as much prima facie empirical support for GT as there is for ST, and that GT could be fully in the spirit of the Everett interpretation—that there might, in short, be little reason for an Everettian not to embrace the more general theoretical landscape that GT allows one to explore.
有人认为,那些捍卫Everett或“许多世界”量子力学解释的人应该接受我们所说的开放系统的一般量子理论(GT),作为在量子物理学中进行基础和哲学研究的适当框架。GT是一个比其替代的标准量子理论(ST)更广泛的动力学框架。这是真的,尽管GT没有对量子形式进行任何修改。GT对形式主义持不同的观点,我们称之为开放系统观;即,在GT中,其物理状态基本上由密度算子表示的系统的动力学被表示为基本开放的,如一般的非酉动力学映射所指定的。原则上,这包括整个宇宙的动力学。我们认为,可以在GT中描述的更普遍的动力学可以是物理动机,对GT的初步实证支持与对ST的初步实证支撑一样多,并且GT可以完全符合埃弗雷特解释的精神——简言之,埃弗雷特人可能没有理由不接受GT允许人们探索的更广泛的理论景观。
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引用次数: 0
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Quantum Reports
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