One-step method for preparing the experimental pure state in nuclear magnetic resonance

Quantum computing is an emerging and promising research field in modern quantum physics and is committed to accelerating traditional calculation processes using the principle of quantum mechanics[1,2].Several computation models have been proposed,including the circuit model[3],topologic quantum computation[4],adiabatic quantum computing[5],and duality quantum computing[6-8].Universal quantum computation generally includes a system initialization,evolutionary control,and a final-state readout[9],where the preparation of the initial state is a key step in the entire process.     

非均匀流体介质内部散射声场重建的逐层计算方法*

入射声波激励下非均匀流体介质内部散射声场的重建方法对超声层析成像具有重要意义。以往采用矩量法求解,但该方法全域离散形成的复数满秩矩阵规模随着分辨率与计算精度的提高而急剧增大,对算力具有很高的要求,一定程度上限制了其在实际中的应用。为克服上述缺陷,本文以逐层离散、逐层计算为核心思想,以声散射基本公式与近场声全息理论为基础,推导出逐层计算非均匀流体介质内部散射声场的理论公式并给出对应的几何离散模型。为验证该方法的可行性,以矩量法为参照,对同样的介质模型进行介质内部声场重构仿真。结果表明,逐层算法不仅可以有效地重建非均匀流体介质内部散射声场,且大幅度减小了求解规模。     

The degree of biholomorphic mappings between special domains in ℂ<Superscript><Emphasis Type="Italic">n</Emphasis></Superscript> preserving 0

Let G _i be a closed Lie subgroup of U(n), Ω _i be a bounded G _i -invariant domain in C ⁿ which contains 0, and \(O{\left( {{\mathbb{C}^n}} \right)^{{G_i}}} = \mathbb{C}\), for i = 1; 2. If f: Ω₁ → Ω₂ is a biholomorphism, and f(0) = 0, then f is a polynomial mapping (see Ning et al. (2017)). In this paper, we provide an upper bound for the degree of such polynomial mappings. It is a natural generalization of the well-known Cartan’s theorem.     

The early high-energy afterglow emission from short GRBs

We calculate the high energy afterglow emission from short Gamma-Ray Bursts (SGRBs) in the external shock model. There are two possible components contributing to the high energy afterglow: electron synchrotron emission and synchrotron self-Compton (SSC) emission. We find that for typical parameter values of SGRBs, the early high-energy afterglow emission in 10 MeV-10 GeV is dominated by synchrotron emission. For a burst occurring at redshift z = 0.1, the high-energy emission can be detectable by Fermi LAT if the blast wave has energy E ⩾ 10⁵¹ ergs and the fraction of electron energy ɛ _e ⩾ 0.1. This provides a possible explanation for the high energy tail of SGRB 081024B.

     

Rigidity and regularity in group actions

Some new results on the rigidity of automorphism groups and the regularity of(?)-Neumann operator in group actions are presented.     

Experimental study on correlation between sound velocity and solute molecular weight in polyethylene glycol solution

In this study,ultrasound grating was used to measure the sound velocity in solutions of ethylene glycol and polyethylene glycol with molecular weights of 200,600,2000,and 10000.We found Parthasarathy empirical rule,that is,sound velocity is higher in the solution of larger molecules,is invalid in the case of polyethylene glycol solution. We tried to provide a tentative explanation using the Flory-Krigbaum's chained block cloud model.     

Three-dimensional analytical solution for a transversely isotropic functionally graded piezoelectric circular plate subject to a uniform electric potential difference

This paper studies the problem of a functionally graded piezoelectric circular plate subjected to a uniform electric potential difference between the upper and lower surfaces. By assuming the generalized displacements in appropriate forms, five differential equations governing the generalized displacement functions are derived from the equilibrium equations. These displacement functions are then obtained in an explicit form, which still involve four undetermined integral constants, through a step-by-step integration which properly incorporates the boundary conditions at the upper and lower surfaces. The boundary conditions at the cylindrical surface are then used to determine the integral constants. Hence, three-dimensional analytical solutions for electrically loaded functionally graded piezoelectric circular plates with free or simply-supported edge are completely determined. These solutions can account for an arbitrary material variation along the thickness, and thus can be readily degenerated into those for a homogenous plate. A numerical example is finally given to show the validity of the analysis, and the effect of material inhomogeneity on the elastic and electric fields is discussed. Supported by the National Natural Science Foundation of China (Grant Nos. 10472102 and 10432030) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20060335107)     

遥感地面站自动化测试系统的设计与应用

遥感卫星地面站的G/T值（品质因数）和系统误码特性是遥感卫星地面站最重要的系统指标,是测试遥感卫星地面站不可或缺的测试项目。传统的测试方法采用人工干预进行测试,测试过程复杂繁琐,人机交互工作量极大,测试效率低下。文中提出了一种在遥感地面站监控管理分系统的统一调度下,协调站内天伺馈分系统、信道分系统和测试分系统的资源,优化测试流程,自动完成系统G/T值和系统误码特性的测试方案,显著提高测试效率。介绍了自动化测试系统的测试原理和自动化测试的设计方法,然后结合某工程实际应用进行了自动化测试,并给出了测试结果。测试结果表明,自动化测试系统的测试结果和人工测试结果一致,但减少了大量的人机交互工作,使测试效率大大提高,测试过程不再繁琐和耗时。     

盐酸戊乙奎醚及其R构型哌啶衍生物的对映专一性合成

A novel and simple procedure for the enantiospecific synthesis of penehyclidine hydrochloride （8018） isomers and the R configuration derivatives was described. The intramolecular asymmetric cyclization of the monosulfonate of compound 1,2-diol was applied to the execution of the synthesis of the key chiral building block for the first time. The aimed products were obtained with moderate yield in〉99% ee.     

Learning rates of regularized regression on the unit sphere

This paper addresses the learning algorithm on the unit sphere. The main purpose is to present an error analysis for regression generated by regularized least square algorithms with spherical harmonics kernel. The excess error can be estimated by the sum of sample errors and regularization errors. Our study shows that by introducing a suitable spherical harmonics kernel, the regularization parameter can decrease arbitrarily fast with the sample size.