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1.
We consider parametric optimization problems from an algebraic viewpoint. The idea is to find all of the critical points of an objective function thereby determining a global optimum. For generic parameters (data) in the objective function the number of critical points remains constant. This number is known as the algebraic degree of an optimization problem. In this article, we go further by considering the inverse problem of finding parameters of the objective function so it gives rise to critical points exhibiting a special structure. For example if the critical point is in the singular locus, has some symmetry, or satisfies some other algebraic property. Our main result is a theorem describing such parameters.  相似文献   
2.
Yong-Ting Liu 《中国物理 B》2022,31(5):50303-050303
We present a self-error-rejecting multipartite entanglement purification protocol (MEPP) for N-electron-spin entangled states, resorting to the single-side cavity-spin-coupling system. Our MEPP has a high efficiency containing two steps. One is to obtain high-fidelity N-electron-spin entangled systems with error-heralded parity-check devices (PCDs) in the same parity-mode outcome of three electron-spin pairs, as well as M-electron-spin entangled subsystems (2≤M <N) in the different parity-mode outcomes of those. The other is to regain the N-electron-spin entangled systems from M-electron-spin entangled states utilizing entanglement link. Moreover, the quantum circuits of PCDs make our MEPP works faithfully, due to the practical photon-scattering deviations from the finite side leakage of the microcavity, and the limited coupling between a quantum dot and a cavity mode, converted into a failed detection in a heralded way.  相似文献   
3.
We discuss a new gravitational effect that the wave packet of a free-fall quantum particle undergoes a spin-dependent transverse shift in Earth's gravitational field. This effect is similar to the geometric spin Hall effect (GSHE) (Aiello 2009 et al Phys. Rev. Lett. 103 100401 ), and can be called gravity-induced GSHE. This effect suggests that the free-fall wave packets of opposite spin-polarized quantum particles can be split in the direction perpendicular to spin and gravity.  相似文献   
4.
种子的萌发是种子生命历程中的主要组成部分之一,了解种子萌发过程中经历的生理生化变化,准确确定种子的活力,对农业生产很重要,因而,研究种子萌发有重要意义。采用傅里叶变换红外光谱结合曲线拟合研究不同萌发程度的水稻种子,以探寻种子贮藏物质动员情况,对不同萌发时间的水稻种子进行傅里叶变换红外光谱、二阶导数光谱、二维相关红外光谱和曲线拟合研究。结果显示,原始红外光谱整体相似,光谱反映出水稻种子的主要贮藏物质为淀粉、蛋白质和脂肪;吸收峰强度比A1 659/A1 019A1 740/A1 019A1 157/A1 019A1 157/A1 081随萌发时间的增加而降低。814~1 000和1 028~1 340 cm-1范围内的二维相关红外光谱结果显示自动峰个数和最强自动峰的位置、强度随种子萌发时间的增加而变化,表明种子在萌发过程中糖类和蛋白质发生变化。二阶导数光谱在1 200~950 cm-1范围内出现七个峰,其中988 cm-1处的峰随萌发时间的增加向较高波数蓝移,而1 053和1 158 cm-1处的峰向较低波数红移,表明水稻种子在萌发过程中多糖的结构和含量可能发生了变化;在1 700~1 600 cm-1范围内出现九个峰,其中1 641和1 692 cm-1处的峰呈现随萌发时间的增加红移到较低波数的趋势,表明水稻种子在萌发过程中蛋白质的结构和含量可能发生了变化;在1 800~1 700 cm-1范围二阶导数光谱仅观察到1 712和1 744 cm-1处的两个峰,其中1 744 cm-1由脂类物质C═O伸缩振动引起,为脂肪的特征峰。为进一步研究水稻种子萌发过程中贮藏物质的具体变化,以二阶导数光谱确定的子峰位置和数目为依据,对原始红外光谱的1 200~950与1 800~1 600 cm-1区域进行曲线拟合分析。曲线拟合结果显示,随萌发时间的增加,多糖和蛋白质的相对含量总体上呈现下降趋势,脂肪的相对含量先降后升。研究表明,傅里叶变换红外光谱结合曲线拟合可作为研究种子萌发的有效手段。  相似文献   
5.
Jing-Peng Song 《中国物理 B》2022,31(3):37401-037401
Introducing metal thin films on two-dimensional (2D) material may present a system to possess exotic properties due to reduced dimensionality and interfacial effects. We deposit Pb islands on single-crystalline graphene on a Ge(110) substrate and studied the nano- and atomic-scale structures and low-energy electronic excitations with scanning tunneling microscopy/spectroscopy (STM/STS). Robust quantum well states (QWSs) are observed in Pb(111) islands and their oscillation with film thickness reveals the isolation of free electrons in Pb from the graphene substrate. The spectroscopic characteristics of QWSs are consistent with the band structure of a free-standing Pb(111) film. The weak interface coupling is further evidenced by the absence of superconductivity in graphene in close proximity to the superconducting Pb islands. Accordingly, the Pb(111) islands on graphene/Ge(110) are free-standing in nature, showing very weak electronic coupling to the substrate.  相似文献   
6.
Yangyang Ge 《中国物理 B》2022,31(4):48704-048704
Quantum singular value thresholding (QSVT) algorithm, as a core module of many mathematical models, seeks the singular values of a sparse and low rank matrix exceeding a threshold and their associated singular vectors. The existing all-qubit QSVT algorithm demands lots of ancillary qubits, remaining a huge challenge for realization on nearterm intermediate-scale quantum computers. In this paper, we propose a hybrid QSVT (HQSVT) algorithm utilizing both discrete variables (DVs) and continuous variables (CVs). In our algorithm, raw data vectors are encoded into a qubit system and the following data processing is fulfilled by hybrid quantum operations. Our algorithm requires O[log(MN)] qubits with O(1) qumodes and totally performs O(1) operations, which significantly reduces the space and runtime consumption.  相似文献   
7.
Qian Dong 《中国物理 B》2022,31(3):30303-030303
Using a single-mode approximation, we carry out the entanglement measures, e.g., the negativity and von Neumann entropy when a tetrapartite generalized GHZ state is treated in a noninertial frame, but only uniform acceleration is considered for simplicity. In terms of explicit negativity calculated, we notice that the difference between the algebraic average $\pi_{4}$ and geometric average $\varPi_{4}$ is very small with the increasing accelerated observers and they are totally equal when all four qubits are accelerated simultaneously. The entanglement properties are discussed from one accelerated observer to all four accelerated observers. It is shown that the entanglement still exists even if the acceleration parameter $r$ goes to infinity. It is interesting to discover that all 1-1 tangles are equal to zero, but 1-3 and 2-2 tangles always decrease when the acceleration parameter $r$ increases. We also study the von Neumann entropy and find that it increases with the number of the accelerated observers. In addition, we find that the von Neumann entropy $S_{\text{ABCDI}}$, $S_{\text{ABCIDI}}$, $S_{\text{ABICIDI}}$ and $S_{\text{AIBICIDI}}$ always decrease with the controllable angle $\theta$, while the entropies $S_{3-3~\rm non}$, $S_{3-2~\rm non}$, $S_{3-1~\rm non}$ and $S_{3-0~\rm non}$ first increase with the angle $\theta$ and then decrease with it.  相似文献   
8.
Hengcan Zhao 《中国物理 B》2022,31(11):117103-117103
CePdAl has been recently recognized as a frustrated antiferromagnetic heavy-fermion compound with a pressure- or field-tuned, extended quantum critical phase at zero temperature. Identifying characteristic signatures of the emerging quantum critical phase, which are expected to be distinct from those near a quantum critical point, remains challenging. In this work, by performing ultrasonic and thermoelectric measurements down to very low temperatures in a 3He-4He dilution refrigerator in the presence of magnetic field, we are able to obtain some crucial thermodynamic and thermal transport features of the quantum critical phase, including a frustration-related elastic softening detected by ultrasound and a Fermi-surface change probed by thermoelectric effect.  相似文献   
9.
In this paper, we introduce two Bregman-type algorithmic frameworks to generalize the extragradient and extrapolation methods. With the help of relative Lipschitzness and the Bregman distance tool, the iteration properties of the proposed frameworks are analyzed. As applied to smooth convex-concave saddle point problems, our theory rediscovers the main results in Mokhtari et al. (2020) [14] for wider frameworks under weaker assumptions via a conceptually different approach.  相似文献   
10.
采用氯化锌(ZnCl_(2))修饰镉基CdSe/ZnS蓝光量子点(B-QD)薄膜,发现与量子点表面结合力更强的ZnCl_(2)能够部分取代量子点长链配体油酸,有效钝化量子点表面缺陷,提高薄膜的荧光量子效率(PLQY)。此外,由于ZnCl_(2)具有偶极作用,使量子点真空能级提高0.2 eV,一方面可改善电子和空穴载流子注入平衡,另一方面可有效降低发光器件的启亮电压,提高器件的发光寿命。这种无机配体修饰量子点薄膜的方法可能为解决蓝光量子点发光二极管(B-QLEDs)因空穴注入困难和量子点表面缺陷导致器件性能不高的问题提供一个有效思路。  相似文献   
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