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Quantifying nonclassical correlation via the generalized Wigner-Yanase skew information 通过广义 Wigner-Yanase 偏斜信息量化非经典相关性
Pub Date : 2024-09-17 DOI: arxiv-2409.11198
Yan Hong, Xinlan Hao, Limin Gao
Nonclassical correlation is an important concept in quantum informationtheory, referring to a special type of correlation that exists between quantumsystems, which surpasses the scope of classical physics. In this paper, weintroduce the concept of a family of information with important properties,namely the generalized Wigner-Yanase skew information, of which the famousquantum Fisher information and Wigner-Yanase skew information are specialcases.We classify the local observables in the generalized Wigner-Yanase skewinformation into two categories (i.e., orthonormal bases and a Hermitianoperator with a fixed nondegenerate spectrum), and based on this, we proposetwo different forms of indicators to quantify nonclassical correlations ofbipartite quantum states. We have not only investigated some importantproperties of these two kinds of indicators but also illustrated throughspecific examples that they can indeed capture some nonclassical correlations.Furthermore, we find that these two types of indicators reduce to entanglementmeasure for bipartite pure states. Specifically, we also derive therelationship between these two indicators and the entanglement measure$I$-concurrence.
非经典相关性是量子信息理论中的一个重要概念,指量子系统之间存在的一种特殊相关性,它超越了经典物理学的范畴。在本文中,我们提出了一个具有重要性质的信息族概念,即广义维格纳-延纳斯偏斜信息,著名的量子费雪信息和维格纳-延纳斯偏斜信息就是其中的特例、我们将广义 Wigner-Yanase 偏斜信息中的局部观测变量分为两类(即正交基和具有固定非enerate 谱的赫米特算子),并在此基础上提出了两种不同形式的指标来量化二元量子态的非经典相关性。我们不仅研究了这两种指标的一些重要特性,还通过具体例子说明了它们确实能捕捉到一些非经典相关性。具体而言,我们还推导出了这两种指标与纠缠度量 I$-复发之间的关系。
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引用次数: 0
Challenging Excited States from Adaptive Quantum Eigensolvers: Subspace Expansions vs. State-Averaged Strategies 挑战自适应量子均衡器的激发态:子空间展开与状态平均策略
Pub Date : 2024-09-17 DOI: arxiv-2409.11210
Harper R. Grimsley, Francesco A. Evangelista
The prediction of electronic structure for strongly correlated moleculesrepresents a promising application for near-term quantum computers. Significantattention has been paid to ground state wavefunctions, but excited states ofmolecules are relatively unexplored. In this work, we consider the ADAPT-VQEalgorithm, a single-reference approach for obtaining ground states, and itsstate-averaged generalization for computing multiple states at once. Wedemonstrate for both rectangular and linear H$_4$, as well as for BeH$_2$, thatthis approach, which we call MORE-ADAPT-VQE, can make better use of smallexcitation manifolds than an analagous method based on a single-referenceADAPT-VQE calculation, q-sc-EOM. In particular, MORE-ADAPT-VQE is able toaccurately describe both avoided crossings and crossings between states ofdifferent symmetries. In addition to more accurate excited state energies,MORE-ADAPT-VQE can recover accurate transition dipole moments in situationswhere traditional ADAPT-VQE and q-sc-EOM struggle. These improvements suggest apromising direction toward the use of quantum computers for difficult excitedstate problems.
预测强相关分子的电子结构是近期量子计算机的一项有前途的应用。人们对基态波函数给予了极大关注,但对分子的激发态却相对缺乏探索。在这项工作中,我们考虑了 ADAPT-VQE 算法--一种用于获取基态的单参量方法,及其用于一次性计算多态的状态平均广义方法。我们证明,对于矩形和线性 H$_4$ 以及 BeH$_2$,这种我们称之为 MORE-ADAPT-VQE 的方法比基于单参考 ADAPT-VQE 计算的类似方法(q-sc-EOM)能更好地利用小反射流形。特别是,MORE-ADAPT-VQE 能够准确地描述避免的交叉和不同对称性状态之间的交叉。除了更精确的激发态能量外,MORE-ADAPT-VQE 还能在传统 ADAPT-VQE 和 q-sc-EOM 难以解决的情况下恢复精确的过渡偶极矩。这些改进为利用量子计算机解决激发态难题指明了方向。
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引用次数: 0
Multiphoton interference in a single-spatial-mode quantum walk 单空间模式量子行走中的多光子干扰
Pub Date : 2024-09-17 DOI: arxiv-2409.11483
Kate L. Fenwick, Jonathan Baker, Guillaume S. Thekkadath, Aaron Z. Goldberg, Khabat Heshami, Philip J. Bustard, Duncan England, Frédéric Bouchard, Benjamin Sussman
Multiphoton interference is crucial to many photonic quantum technologies. Inparticular, interference forms the basis of optical quantum informationprocessing platforms and can lead to significant computational advantages. Itis therefore interesting to study the interference arising from various statesof light in large interferometric networks. Here, we implement a quantum walkin a highly stable, low-loss, multiport interferometer with up to 24 ultrafasttime bins. This time-bin interferometer comprises a sequence of birefringentcrystals which produce pulses separated by 4.3,ps, all along a single opticalaxis. Ultrafast Kerr gating in an optical fiber is employed to time-demultiplexthe output from the quantum walk. We measure one-, two-, and three-photoninterference arising from various input state combinations, including aheralded single-photon state, a thermal state, and an attenuated coherent stateat one or more input ports. Our results demonstrate that ultrafast time binsare a promising platform to observe large-scale multiphoton interference.
多光子干涉对许多光子量子技术至关重要。特别是,干涉是光量子信息处理平台的基础,可以带来显著的计算优势。因此,研究大型干涉网络中各种光状态产生的干涉很有意义。在这里,我们在一个高度稳定、低损耗、多端口、多达 24 个超快时间分段的干涉仪中实现了量子漫步。这种时间分区干涉仪由一串双折射晶体组成,它们沿着单一光轴产生相隔 4.3 ps 的脉冲。光纤中的超快克尔门控被用来对量子行走的输出进行时间倍增。我们测量了各种输入状态组合产生的单、双和三光子干涉,包括一个或多个输入端口的预示单光子状态、热状态和衰减相干状态。我们的研究结果表明,超快时间分段是观测大规模多光子干涉的理想平台。
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引用次数: 0
Evaluating Modifications to Classifiers for Identification of Higgs Bosons 评估为识别希格斯玻色子而对分类器进行的修改
Pub Date : 2024-09-17 DOI: arxiv-2409.10902
Rishivarshil Nelakurti, Christopher Hill
The Higgs boson, discovered back in 2012 through collision data at the LargeHadron Collider (LHC) by ATLAS and CMS experiments, marked a significantinflection point in High Energy Physics (HEP). Today, it's crucial to preciselymeasure Higgs production processes with LHC experiments in order to gaininsights into the universe and find any invisible physics. To analyze the vastdata that LHC experiments generate, classical machine learning has become aninvaluable tool. However, classical classifiers often struggle with detectinghiggs production processes, leading to incorrect labeling of Higgs Bosons. Thispaper aims to tackle this classification problem by investigating the use ofquantum machine learning (QML).
早在 2012 年,ATLAS 和 CMS 实验就通过大型强子对撞机(LHC)的碰撞数据发现了希格斯玻色子,这标志着高能物理(HEP)的一个重要转折点。如今,利用大型强子对撞机实验精确测量希格斯粒子的产生过程对于洞察宇宙和发现任何不可见的物理现象至关重要。为了分析大型强子对撞机实验产生的大量数据,经典机器学习已成为一种宝贵的工具。然而,经典分类器在检测希格斯玻色子的产生过程时经常会遇到困难,导致对希格斯玻色子的错误标记。本文旨在通过研究量子机器学习(QML)的使用来解决这一分类问题。
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引用次数: 0
Modeling a frustrated Ising square lattice with the D-Wave Quantum Annealer 用 D-Wave 量子退火器模拟受挫伊辛方阵
Pub Date : 2024-09-17 DOI: arxiv-2409.11259
C. Marin, A. Fontana, V. Bellani, F. Pederiva, A. Quaranta, F. Rossella, A. Salamon, G. Salina
The Ising model with nearest-neighbor interactions on a two-dimensional (2D)square lattice is one of the simplest models for studying ferro-magnetic topara-magnetic transitions. Extensive results are available in the literaturefor this model, which has become a paradigm for the study of magnetic phasetransitions in materials, both theoretically and numerically. After a briefreview of the main results obtained with a classical computer, we show how toimplement on the D- Wave quantum annealer a more complex Ising model with theaddition of competing antiferromagnetic interactions between the diagonalnext-to-nearest neighbors with two coupling constants J1 and J2. The dynamicsof this system, owing to frustration, are richer than those of the simple Isingmodel and exhibit a third striped (or antiferromagnetic) phase in addition tothe ferro- and para-magnetic phases. In this work, we observed all three phaseson the D-Wave hardware, studied the behavior of the solution with differentannealing parameters, such as the chain strength and annealing time, and showedhow to identify the phase transition by varying the ratio between theferromagnetic and antiferromagnetic couplings. The same system is studied on aclassical computer, with the possibility of taking into account the temperature(fixed on D-Wave) as a free parameter and to explore the full phase diagram:some comparative conclusions with D-Wave are drawn.
在二维(2D)方晶格上具有近邻相互作用的伊辛模型是研究铁磁顶磁转变的最简单模型之一。该模型在理论和数值方面都已成为研究材料磁性相变的典范。在简要回顾了使用经典计算机获得的主要结果之后,我们展示了如何在 D 波量子退火器上实现一个更复杂的伊辛模型,并在对角线近邻之间添加了具有两个耦合常数 J1 和 J2 的竞争性反铁磁相互作用。由于沮度的存在,该系统的动态比简单的伊辛模型更为丰富,除了铁磁相和顺磁相之外,还表现出第三个条纹相(或反铁磁相)。在这项工作中,我们在 D-Wave 硬件上观察到了所有三个相,研究了溶液在不同退火参数(如链强度和退火时间)下的行为,并展示了如何通过改变铁磁耦合和反铁磁耦合之间的比率来识别相变。在经典计算机上研究同一系统时,可以将温度(在 D-Wave 上是固定的)作为自由参数考虑在内,并探索整个相图:得出了一些与 D-Wave 的比较结论。
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引用次数: 0
Hardware-Efficient Preparation of Graph States on Near-Term Quantum Computers 在近端量子计算机上以硬件高效方式制备图状态
Pub Date : 2024-09-17 DOI: arxiv-2409.10807
Sebastian Brandhofer, Ilia Polian, Stefanie Barz, Daniel Bhatti
Highly entangled quantum states are an ingredient in numerous applications inquantum computing. However, preparing these highly entangled quantum states oncurrently available quantum computers at high fidelity is limited by ubiquitouserrors. Besides improving the underlying technology of a quantum computer, thescale and fidelity of these entangled states in near-term quantum computers canbe improved by specialized compilation methods. In this work, the compilationof quantum circuits for the preparation of highly entangledarchitecture-specific graph states is addressed by defining and solving aformal model. Our model incorporates information about gate cancellations, gatecommutations, and accurate gate timing to determine an optimized graph statepreparation circuit. Up to now, these aspects have only been consideredindependently of each other, typically applied to arbitrary quantum circuits.We quantify the quality of a generated state by performing stabilizermeasurements and determining its fidelity. We show that our new method reducesthe error when preparing a seven-qubit graph state by 3.5x on average comparedto the state-of-the-art Qiskit solution. For a linear eight-qubit graph state,the error is reduced by 6.4x on average. The presented results highlight theability of our approach to prepare higher fidelity or larger-scale graph stateson gate-based quantum computing hardware.
高度纠缠的量子态是量子计算众多应用中的一个要素。然而,要在现有量子计算机上高保真地制备这些高度纠缠的量子态,却受到无处不在的干扰的限制。除了改进量子计算机的底层技术,近期量子计算机中这些纠缠态的规模和保真度也可以通过专门的编译方法来提高。在这项研究中,我们通过定义和求解一个形式模型来解决量子电路的编译问题,以制备高度纠缠的特定架构图形状态。我们的模型结合了有关门抵消、门交换和精确门时序的信息,以确定优化的图状态准备电路。迄今为止,这些方面只被单独考虑,通常应用于任意量子电路。我们通过执行稳定器测量和确定其保真度来量化生成状态的质量。我们的研究表明,与最先进的 Qiskit 解决方案相比,我们的新方法在准备七量子比特图状态时平均减少了 3.5 倍的误差。对于线性八量子比特图状态,误差平均减少了 6.4 倍。这些结果凸显了我们的方法在基于门的量子计算硬件上制备更高保真度或更大规模图状态的能力。
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引用次数: 0
Unsupervised state learning from pairs of states 从成对状态中进行无监督状态学习
Pub Date : 2024-09-17 DOI: arxiv-2409.11120
Pranjal Agarwal, Nada Ali, Camilla Polvara, Martin Isbjörn Trappe, Berthold-Georg Englert, Mark Hillery
Suppose you receive a sequence of qubits where each qubit is guaranteed to bein one of two pure states, but you do not know what those states are. Your taskis to either determine the states or to construct a POVM (Positive OperatorValued Measure) that will discriminate them. This can be viewed as a quantumanalog of unsupervised learning. A problem is that without more information,all that can be determined is the density matrix of the sequence, and, ingeneral, density matrices can be decomposed into pure states in many differentways. To solve the problem additional information, either classical or quantum,is required. We show that if an additional copy of each qubit is supplied, thatis, one receives pairs of qubits, both in the same state, rather than singlequbits, the task can be accomplished. We then simulate numerically themeasurement of a sequence of qubit pairs and show that the unknown states andtheir respective probabilities of occurrence can be found with high accuracy.
假设你接收到一个量子比特序列,其中每个量子比特都保证处于两种纯粹状态之一,但你不知道这些状态是什么。你的任务要么是确定这些状态,要么是构建一个能够区分它们的 POVM(正向运算符值测量)。这可以看作是无监督学习的一个量表。问题在于,如果没有更多信息,所能确定的只是序列的密度矩阵,而一般来说,密度矩阵可以通过多种不同方式分解为纯状态。要解决这个问题,需要额外的信息,无论是经典信息还是量子信息。我们的研究表明,如果提供每个量子比特的额外拷贝,即接收成对处于相同状态的量子比特,而不是单个量子比特,就可以完成任务。然后,我们用数字模拟了一串量子比特对的测量主题,并证明可以高精度地找到未知状态及其各自的出现概率。
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引用次数: 0
Direct experimental observation of sub-poissonian photon statistics by means of multi-photon scattering on a two-level system 通过两级系统上的多光子散射,直接实验观测亚极松光子统计量
Pub Date : 2024-09-17 DOI: arxiv-2409.10975
A. Yu. Dmitriev, A. V. Vasenin, S. A. Gunin, S. V. Remizov, A. A. Elistratov, W. V. Pogosov, O. V. Astafiev
A cascade of two-level superconducting artificial atoms -- a source and aprobe -- strongly coupled to a semi-infinite waveguide is a promising tool forobserving nontrivial phenomena in quantum nonlinear optics. The probe atom canscatter an antibunched radiation emitted from the source, thereby generating afield with specific properties. We experimentally demonstrate wave mixingbetween nonclassical light from the coherently cw-pumped source and anothercoherent wave acting on the probe. We observe unique features in the wavemixing stationary spectrum which differs from mixing spectrum of two classicalwaves on the probe. These features are well described by adapting the theoryfor a strongly coupled cascaded system of two atoms. We further analyze thetheory to predict non-classical mixing spectra for various ratios of atoms'radiative constants. Both experimental and numerical results confirm thedomination of multi-photon scattering process with only a single photon fromthe source. We evaluate entanglement of atoms in the quasistationary state andillustrate the connection between the expected second-order correlationfunction of source's field and wave mixing side peaks corresponding to acertain number of scattered photons.
与半无限波导强耦合的两级超导人造原子(源原子和探针原子)级联是观测量子非线性光学中的非微观现象的一种很有前途的工具。探针原子可以散射源发射的反束辐射,从而产生具有特定性质的场。我们在实验中演示了来自相干 cw-pumped 源的非经典光与作用在探针上的另一种相干波之间的混波。我们观察到波混合静态光谱的独特特征,它不同于探针上两个经典波的混合光谱。将该理论应用于两个原子的强耦合级联系统,可以很好地描述这些特征。我们进一步分析了该理论,以预测不同原子辐射常数比的非经典混合谱。实验和数值结果都证实了多光子散射过程只需来自光源的单光子即可实现。我们评估了原子在准稳态下的纠缠,并证明了源场的预期二阶相关函数与一定数量散射光子对应的波混合侧峰之间的联系。
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引用次数: 0
Electrons herald non-classical light 电子预示着非经典光
Pub Date : 2024-09-17 DOI: arxiv-2409.11300
Germaine Arend, Guanhao Huang, Armin Feist, Yujia Yang, Jan-Wilke Henke, Zheru Qiu, Hao Jeng, Arslan Sajid Raja, Rudolf Haindl, Rui Ning Wang, Tobias J. Kippenberg, Claus Ropers
Free electrons are a widespread and universal source of electromagneticfields. The past decades witnessed ever-growing control over many aspects ofelectron-generated radiation, from the incoherent emission produced by X-raytubes to the exceptional brilliance of free-electron lasers. Reduced to theelementary process of quantized energy exchange between individual electronsand the electromagnetic field, electron beams may facilitate future sources oftunable quantum light. However, the quantum features of such radiation are tiedto the correlation of the particles, calling for the joint electronic andphotonic state to be explored for further applications. Here, we demonstratethe coherent parametric generation of non-classical states of light by freeelectrons. We show that the quantized electron energy loss heralds the numberof photons generated in a dielectric waveguide. In Hanbury-Brown-Twissmeasurements, an electron-heralded single-photon state is revealed viaantibunching intensity correlations, while two-quantum energy losses ofindividual electrons yield pronounced two-photon coincidences. The approachfacilitates the tailored preparation of higher-number Fock and other opticalquantum states based on controlled interactions with free-electron beams.
自由电子是一种广泛而普遍的电磁场源。过去几十年来,从 X 射线管产生的非相干发射到自由电子激光的非凡光彩,人们对电子产生的辐射的许多方面的控制都在不断加强。电子束被还原为单个电子与电磁场之间量子化能量交换的基本过程,可能会促进未来可调谐量子光源的发展。然而,这种辐射的量子特征与粒子的相关性息息相关,这就要求对电子和光子的联合状态进行探索,以便进一步应用。在这里,我们展示了自由电子对非经典光状态的相干参量生成。我们表明,电子能量损失的量化预示着在介质波导中产生的光子数量。在汉伯里-布朗-特维斯测量中,电子预示的单光子态通过反束强度相关性显现出来,而单个电子的双量子能量损失则产生了明显的双光子重合。这种方法有助于在控制与自由电子束的相互作用的基础上,定制制备更高数的福克态和其他光量子态。
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引用次数: 0
Violation of no-signaling on a public quantum computer 违反公共量子计算机的无信号规定
Pub Date : 2024-09-17 DOI: arxiv-2409.11348
Tomasz Rybotycki, Tomasz Białecki, Josep Batle, Adam Bednorz
No-signaling is a consequence of the no-communication theorem that statesthat bipartite systems cannot transfer information unless a communication channel exists. It is also a by-product of theassumptions of Bell theorem about quantum nonlocality. We have testedno-signaling in bipartite systems of qubits from IBM Quantum devices inextremely large statistics, resulting in significant violations. Although thetime and space scales of IBM Quantum cannot in principle rule out subluminalcommunications, there is no obvious physical mechanism leading to signaling.The violation is also at similar level as observed in Bell tests. It istherefore mandatory to check possible technical imperfections that may causethe violation and to repeat the loophole-free Bell test at much largerstatistics, in order to be ruled out definitively at strict spacelikeconditions.
无信号是无通信定理的结果,该定理指出,除非存在通信通道,否则双系统无法传递信息。它也是贝尔定理关于量子非局域性假设的副产品。我们测试了来自 IBM 量子设备的量子比特双机系统在超大统计量情况下的无信号传输,结果发现严重违反了这一假设。虽然 IBM 量子的时间和空间尺度原则上不能排除亚光速通信,但没有明显的物理机制导致信号传递。因此,必须检查可能导致违规的技术缺陷,并在更大的统计量下重复无漏洞贝尔测试,以便在严格的类空间条件下明确排除违规。
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引用次数: 0
期刊
arXiv - PHYS - Quantum Physics
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