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Continuous-variable quantum kernel method on a programmable photonic quantum processor 可编程光子量子处理器上的连续可变量子核方法
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-08-02 DOI: 10.1103/physreva.110.022404
Keitaro Anai, Shion Ikehara, Yoshichika Yano, Daichi Okuno, Shuntaro Takeda
Among various quantum machine learning (QML) algorithms, the quantum kernel method has especially attracted attention due to its compatibility with noisy intermediate-scale quantum devices and its potential to achieve quantum advantage. This method performs classification and regression by nonlinearly mapping data into quantum states in a higher-dimensional Hilbert space. Thus far, the quantum kernel method has been implemented only on qubit-based systems, but continuous-variable (CV) systems can potentially offer superior computational power by utilizing its infinite-dimensional Hilbert space. Here, we demonstrate the implementation of the classification task with the CV quantum kernel method on a programmable photonic quantum processor. We experimentally prove that the CV quantum kernel method successfully classifies several datasets robustly even under the experimental imperfections, with high accuracies comparable to the classical kernel. This demonstration sheds light on the utility of CV quantum systems for QML and should stimulate further study in other CV QML algorithms.
在各种量子机器学习(QML)算法中,量子核方法因其与噪声中等规模量子设备的兼容性及其实现量子优势的潜力而尤其受到关注。这种方法通过将数据非线性地映射到高维希尔伯特空间中的量子态来执行分类和回归。迄今为止,量子核方法只在基于量子比特的系统上实现过,但连续可变(CV)系统利用其无限维希尔伯特空间,有可能提供更强的计算能力。在这里,我们演示了在可编程光子量子处理器上利用 CV 量子核方法实现分类任务。我们通过实验证明,即使在实验不完善的情况下,CV 量子核方法也能成功地对多个数据集进行稳健分类,其高精度可与经典核相媲美。这一演示揭示了 CV 量子系统在 QML 中的实用性,并将促进对其他 CV QML 算法的进一步研究。
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引用次数: 0
Hilbert space fragmentation from lattice geometry 从格状几何看希尔伯特空间分裂
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-08-02 DOI: 10.1103/physreva.110.023301
Pieter H. Harkema, Michael Iversen, Anne E. B. Nielsen
The eigenstate thermalization hypothesis describes how isolated many-body quantum systems reach thermal equilibrium. However, quantum many-body scars and Hilbert space fragmentation violate this hypothesis and cause nonthermal behavior. We demonstrate that Hilbert space fragmentation may arise from lattice geometry in a spin-12 model that conserves the number of domain walls. We generalize a known, one-dimensional, scarred model to larger dimensions and show that this model displays Hilbert space fragmentation on the Vicsek fractal lattice and the two-dimensional lattice. Using Monte Carlo methods, the model is characterized as strongly fragmented on the Vicsek fractal lattice when the number of domain walls is either small or close to the maximal value. On the two-dimensional lattice, the model is strongly fragmented when the density of domain walls is low and weakly fragmented when the density of domain walls is high. Furthermore, we show that the fragmentation persists at a finite density of domain walls in the thermodynamic limit for the Vicsek fractal lattice and the two-dimensional lattice. We also show that the model displays signatures similar to Hilbert space fragmentation on a section of the second-generation hexaflake fractal lattice and a modified two-dimensional lattice. We study the autocorrelation function of local observables and demonstrate that the model displays nonthermal dynamics.
特征态热化假说描述了孤立多体量子系统如何达到热平衡。然而,量子多体疤痕和希尔伯特空间破碎违反了这一假说,并导致非热行为。我们证明,希尔伯特空间碎片可能源于自旋-12 模型中保留了畴壁数量的晶格几何。我们将已知的一维伤痕模型推广到更大的维度,并证明该模型在维克塞克分形晶格和二维晶格上显示出希尔伯特空间破碎。利用蒙特卡洛方法,当域壁数量较少或接近最大值时,该模型在维克塞克分形网格上表现出强烈的破碎特征。在二维晶格上,当畴壁密度较低时,模型呈强破碎状态;当畴壁密度较高时,模型呈弱破碎状态。此外,我们还证明,对于维塞克分形晶格和二维晶格,在热力学极限下,当域壁密度有限时,分裂现象会持续存在。我们还表明,该模型在第二代六叶分形晶格和改进的二维晶格的截面上显示出类似于希尔伯特空间碎片的特征。我们研究了局部观测值的自相关函数,并证明该模型显示出非热动力学特征。
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引用次数: 0
Controlling photoelectron interference along the quantization axis of multiphoton ionization in circularly polarized fields 在圆偏振场中控制沿多光子电离量子化轴的光电子干扰
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-08-02 DOI: 10.1103/physreva.110.023101
Yankun Dou, Xiaoxiao Long, Peizeng Li, Peipei Ge, Yongkai Deng, Qihuang Gong, Yunquan Liu
We measure angle- and phase-resolved photoelectron momentum distributions of multiphoton ionization of xenon atoms using bicircular laser fields. In our experiment, the continuum electron ring currents with larger orbital angular momentum are prepared by an intense circular polarized laser field at 400 nm and probed with a spatiotemporally overlapped corotating or counter-rotating weak 800 nm laser pulse. Interestingly, a distinct “carpetlike” interference pattern in the direction of laser propagation is observed for the counter-rotating fields, but not for the corotating fields. By analyzing the momentum-resolved photoelectron yield oscillations with respect to the two-color relative phase (phase-of-the-phase spectrum), we observe a distinct angular dependence in the phase-of-the-phase spectrum in the laser propagation plane when the fields are counter-rotating. In contrast, in the corotating geometry, the phase-of-the-phase spectrum in the laser propagation plane displays an isotropic phase profile. We explain that the carpetlike interference in the propagation plane arises from the constructive and destructive interference of the continuum electron ring currents with different magnetic quantum number, which can be controlled by the light helicity.
我们利用双圆激光场测量了氙原子多光子电离的角度和相位分辨光电子动量分布。在我们的实验中,具有较大轨道角动量的连续电子环流由波长为 400 nm 的强圆偏振激光场制备,并用时空重叠的冠向或反向旋转的微弱 800 nm 激光脉冲进行探测。有趣的是,在反向旋转场中,激光传播方向上出现了明显的 "地毯式 "干涉图案,而在正向旋转场中则没有。通过分析与双色相对相位(相位谱)有关的动量分辨光电子产率振荡,我们观察到当激光场为反向旋转时,激光传播平面上的相位谱具有明显的角度依赖性。相比之下,在旋转几何中,激光传播平面上的相位谱显示出各向同性的相位轮廓。我们解释说,传播面上的地毯式干涉是由不同磁量子数的连续电子环流的建设性和破坏性干涉引起的,而这种干涉可以通过光的螺旋度来控制。
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引用次数: 0
Hybrid one-dimensional photonic crystals containing anisotropic metamaterials: Angle-driven photonic band gaps and angle-driven Tamm plasmon polaritons 包含各向异性超材料的混合一维光子晶体:角度驱动的光子带隙和角度驱动的塔姆等离子体极化子
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-08-02 DOI: 10.1103/physreva.110.023503
Feng Wu, Yuchun She, Tingting Zhou, Zhaoming Cheng, Jianhao Huang
Herein, we realize a special class of photonic band gaps (PBGs) called angle-driven PBGs in hybrid one-dimensional (1D) photonic crystals (PhCs) composed of alternating anisotropic metamaterial and dielectric layers. At normal incidence, the effective refractive index of the anisotropic metamaterial is designed to be the same as that of the dielectric. Owing to the lack of refractive index contrast, the angle-driven PBG is closed at normal incidence. Under transverse magnetic (TM) polarization, the effective refractive index of the anisotropic metamaterial is angle-dependent since the isofrequency curve (IFC) is an ellipse or a hyperbola. Therefore, the angle-driven PBG under TM polarization is opened at oblique incidence. However, under transverse electric (TE) polarization, the effective refractive index of the anisotropic metamaterial is angle-independent since the IFC is a circle. Therefore, the angle-driven PBG under TE polarization remains closed. In hybrid 1D PhCs composed of alternating elliptical metamaterial and dielectric layers, we realize blueshift angle-driven PBGs under TM polarization. As the incident angle increases, the angle-driven PBG shifts towards shorter wavelengths. Empowered by the blueshift angle-driven PBG, broadband polarization selection and privacy protection can be achieved. In hybrid 1D PhCs composed of alternating hyperbolic metamaterial and dielectric layers, we realize zero-shift angle-driven PBGs under TM polarization. As the incident angle increases, the angle-driven PBG stays almost unchanged. Empowered by the zero-shift angle-driven PBG, wide-angle polarization selection can be achieved. In addition, blueshift and zero-shift angle-driven Tamm plasmon polaritons (TPPs) are realized by placing a metal layer in front of the hybrid 1D PhCs. Our work not only offers an elegant platform to realize angle-driven PBGs and angle-driven TPPs, but also facilitates the development of high-performance polarizers.
在这里,我们在由各向异性超材料层和介电层交替组成的混合一维(1D)光子晶体(PhCs)中实现了一类特殊的光子带隙(PBGs),称为角度驱动带隙(angle-driven PBGs)。在正常入射时,各向异性超材料的有效折射率被设计为与电介质的有效折射率相同。由于缺乏折射率对比,角度驱动的 PBG 在正常入射时是封闭的。在横向磁(TM)极化条件下,各向异性超材料的有效折射率与角度有关,因为等频曲线(IFC)是一个椭圆或双曲线。因此,在 TM 极化条件下,角度驱动的 PBG 在斜入射时打开。然而,在横向电(TE)极化条件下,各向异性超材料的有效折射率与角度无关,因为 IFC 是一个圆。因此,在 TE 极化条件下,角度驱动的 PBG 仍然是封闭的。在由椭圆超材料层和介质层交替组成的混合一维 PhC 中,我们实现了 TM 偏振下的蓝移角度驱动 PBG。随着入射角度的增加,角度驱动的 PBG 会向更短的波长移动。在蓝移角度驱动 PBG 的帮助下,可以实现宽带极化选择和隐私保护。在由交替双曲超材料层和介质层组成的混合一维 PhC 中,我们实现了 TM 极化下的零偏移角度驱动 PBG。随着入射角度的增加,角度驱动 PBG 几乎保持不变。通过零偏移角度驱动 PBG,可以实现广角偏振选择。此外,通过在混合一维 PhCs 前面放置金属层,还实现了蓝移和零移角度驱动的塔姆等离子体极化子(TPPs)。我们的工作不仅为实现角度驱动的 PBG 和角度驱动的 TPP 提供了一个优雅的平台,而且还促进了高性能偏振器的开发。
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引用次数: 0
Integrability and chaos in the quantum brachistochrone problem 量子轫场问题中的积分性和混沌性
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-08-02 DOI: 10.1103/physreva.110.022205
S. Malikis, V. Cheianov
The quantum brachistochrone problem addresses the fundamental challenge of achieving the quantum speed limit in applications aiming to realize a given unitary operation in a quantum system. Specifically, it looks into optimization of the transformation of quantum states through controlled Hamiltonians, which form a small subset in the space of the system's observables. Here we introduce a broad family of completely integrable brachistochrone protocols, which arise from a judicious choice of the control Hamiltonian subset. Furthermore, we demonstrate how the inherent stability of the completely integrable protocols makes them numerically tractable and therefore practicable as opposed to their nonintegrable counterparts.
量子自旋问题解决了在应用中实现量子速度极限的基本挑战,其目的是在量子系统中实现给定的单元操作。具体来说,它研究的是通过受控哈密尔顿来优化量子态的变换,而受控哈密尔顿构成了系统观测值空间中的一个小子集。在这里,我们介绍了一系列完全可积分的 brachistochrone 协议,它们产生于对控制哈密顿子集的明智选择。此外,我们还展示了完全可积分协议的固有稳定性如何使其在数值上具有可操作性,从而使其相对于非可积分协议更加实用。
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引用次数: 0
Conversion of twistedness from light to atoms 从光到原子的扭曲转换
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-08-02 DOI: 10.1103/physreva.110.l020801
S. S. Baturin, A. V. Volotka
We develop a simple model and propose a scheme that allows the production of twisted atoms in free space using the absorption of twisted photons by a bound electron. We show that in the inelastic collision of a photon and an atom, the twisted state of the photon is transferred to the center-of-mass state, so that the projection of the orbital momentum of the atom becomes mγΔme. We also show that, depending on the experimental conditions, the twistedness of the photon is either transferred to the atomic center-of-mass quantum state or modifies the selection rule for the bound electron transition. The proposed scheme is general and enables complex shaping of the atomic wavefront.
我们建立了一个简单的模型,并提出了一种方案,利用束缚电子对扭曲光子的吸收,在自由空间中产生扭曲原子。我们表明,在光子与原子的非弹性碰撞中,光子的扭曲态被转移到质量中心态,因此原子轨道动量的投影变成了 mγ-Δme。我们还表明,根据实验条件的不同,光子的扭曲性要么会转移到原子的质心量子态,要么会修改束缚电子转变的选择规则。所提出的方案是通用的,可以对原子波面进行复杂的整形。
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引用次数: 0
Detecting single photons is not always necessary to evidence interference of photon probability amplitudes 要证明光子概率振幅的干扰,并非总是需要检测单光子
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-08-01 DOI: 10.1103/physreva.110.023701
Eric Lantz, Fabrice Devaux, Serge Massar
Subtracting accidental coincidences is a common practice in quantum optics experiments. For zero mean Gaussian states, such as a squeezed vacuum, we show that if one removes accidental coincidences, the measurement results are quantitatively the same for both photon coincidences at very low flux and intensity covariances. Consequently, pure quantum effects at the photon level, like interference of photon wave functions or photon bunching, are reproduced in the correlation of fluctuations of macroscopic beams issued from spontaneous down-conversion. This is true both in experiment if the detection resolution is smaller than the coherence cell (size of the mode) and in stochastic simulations based on sampling the Wigner function. We also discuss the limitations of this correspondence, such as Bell inequalities (for which one cannot subtract accidental coincidences), highly multimode situations such as quantum imaging, and higher-order correlations.
减去意外重合是量子光学实验中的常见做法。对于零均值高斯态(如挤压真空),我们的研究表明,如果剔除偶然重合,在非常低的通量和强度协方差下,两种光子重合的测量结果在数量上是相同的。因此,光子层面的纯量子效应,如光子波函数干涉或光子束化,在自发降频转换产生的宏观光束波动相关性中得以重现。如果探测分辨率小于相干单元(模式大小),在实验中和基于维格纳函数采样的随机模拟中都是如此。我们还讨论了这种对应关系的局限性,如贝尔不等式(无法减去意外巧合)、量子成像等高度多模情况以及高阶相关性。
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引用次数: 0
Multimode rotation-symmetric bosonic codes from homological rotor codes 来自同调转子码的多模旋转对称玻色码
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-08-01 DOI: 10.1103/physreva.110.022402
Yijia Xu (许逸葭), Yixu Wang (王亦许), Victor V. Albert
We develop quantum information processing primitives for the planar rotor, the state space of a particle on a circle. The n-rotor Clifford group, U(1)n(n+1)/2GLn(Z), is represented by continuous U(1) gates generated by polynomials quadratic in angular momenta, as well as discrete GLn(Z) gates generated by momentum sign-flip and sum gates. Our understanding of this group allows us to establish connections between homological rotor error-correcting codes [Vuillot, Ciani, and Terhal, Commun. Math. Phys. 405, 53 (2024)] and oscillator quantum codes, including Gottesman-Kitaev-Preskill codes and rotation-symmetric bosonic codes. Inspired by homological rotor codes, we provide a systematic construction of multimode rotation-symmetric bosonic codes by making a parallel between oscillator Fock states and rotor states with fixed non-negative angular momentum. This family of homological number-phase codes protects against dephasing and changes in occupation number. Encoding and decoding circuits for these codes can be derived from the corresponding rotor Clifford operations. As a result of independent interest, we show how to nondestructively measure the oscillator phase using conditional occupation-number addition and postselection. We also outline several rotor and oscillator varieties of the Gottesman-Kitaev-Preskill-stabilizer codes [Phys. Rev. Lett. 125, 080503 (2020).].
我们为平面转子(圆上粒子的状态空间)开发了量子信息处理基元。n 转子克利福德群 U(1)n(n+1)/2⋊GLn(Z) 由角矩二次多项式产生的连续 U(1) 门以及由动量符号翻转门和和门产生的离散 GLn(Z) 门表示。我们对该组的理解使我们能够在同调转子纠错码 [Vuillot, Ciani, and Terhal, Commun. Math. Phys. 405, 53 (2024)] 和振荡器量子码(包括 Gottesman-Kitaev-Preskill 码和旋转对称玻色码)之间建立联系。受同调转子码的启发,我们在振荡器福克态和具有固定非负角动量的转子态之间建立了平行关系,从而系统地构建了多模旋转对称玻色码。这一系列同调数相码可以防止去相和占位数的变化。这些代码的编码和解码电路可以从相应的转子克利福德运算中推导出来。作为独立关注的结果,我们展示了如何利用条件占位相加和后选来非破坏性地测量振荡器相位。我们还概述了戈特曼-基塔埃夫-普雷斯基尔稳定器码的几种转子和振荡器种类 [Phys. Rev. Lett.
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引用次数: 0
Single-pole double-throw–type optomechanically induced transparency 单极双掷型光机电诱导透明装置
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-08-01 DOI: 10.1103/physreva.110.023502
Zhi-Xiang Su, Ai-Dong Zhu, Lin Yu
We propose a scheme for achieving twofold nonreciprocal optomechanically induced transparency (OMIT) in a three-cavity optomechanical system. In this system, an optical microring resonator is evanescently coupled to two microring optomechanical resonators simultaneously, and a beam splitter is utilized to establish two distinct optical paths. By utilizing a strong control laser and a weak probe laser to drive the resonators, a twofold nonreciprocal OMIT phenomenon can be observed. Specifically, the distinct propagation direction of the control laser will result in nonreciprocal OMIT in the two different paths, respectively. In contrast to two-cavity optomechanical systems, the OMIT can be significantly enhanced through indirect coupling, resulting in an 23.4% increase at the frequency resonance. This unique structure of a three-cavity system renders it an ideal optical single-pole double-throw (SPDT) switch or an ideal optical SPDT-like isolator, which can play an pivotal role in optical communication networks and present exciting opportunities in quantum technologies.
我们提出了一种在三腔光机械系统中实现两倍非互惠光机械诱导透明(OMIT)的方案。在该系统中,一个光学微孔谐振器与两个微孔光机械谐振器同时耦合,并利用分光器建立两条不同的光路。利用强控制激光和弱探测激光驱动谐振器,可以观察到双重非互惠 OMIT 现象。具体来说,控制激光的不同传播方向将分别导致两条不同路径上的非互惠 OMIT。与双腔光机系统相比,通过间接耦合可显著增强 OMIT,使频率共振时的 OMIT 增加 23.4%。三腔系统的这种独特结构使其成为理想的光学单刀双掷(SPDT)开关或理想的类SPDT光学隔离器,可在光通信网络中发挥关键作用,并为量子技术带来令人兴奋的机遇。
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引用次数: 0
Role of seeding in the generation of polarization squeezed light by an atomic Kerr medium 播种在原子克尔介质产生偏振挤压光中的作用
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-08-01 DOI: 10.1103/physreva.110.023704
Eduardo C. Lima, Breno Marques, Marcelo Martinelli, Luciano S. Cruz
Quantum state production and characterization are fundamental elements for many quantum technological applications. In this paper, we studied the generation of polarization quantum states by interacting light with a Kerr medium and the dependency of the outcome on orthogonal polarization seeding. Starting from coherent states produced by Ti:sapphire laser, interaction with a Rb87 warm vapor cell led to noise compression of 5.2±0.5dB(6.4±0.6dB after correction of the detection quantum efficiency). Experimental characterization of the effect of an orthogonal polarization light seed on squeezing is shown to agree with the theoretical model.
量子态的产生和表征是许多量子技术应用的基本要素。在本文中,我们研究了光与克尔介质相互作用产生的偏振量子态,以及结果对正交偏振种子的依赖性。从 Ti:sapphire 激光器产生的相干态开始,与 Rb87 暖蒸汽电池的相互作用导致噪声压缩为 -5.2±0.5dB(校正探测量子效率后为 6.4±0.6dB)。实验证明,正交偏振光种子对挤压的影响与理论模型一致。
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引用次数: 0
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Physical Review A
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