Localization and the interface between quantum mechanics, quantum field theory and quantum gravity II: The search of the interface between QFT and QG

The main topics of this second part of a two-part essay are some consequences of the phenomenon of vacuum polarization as the most important physical manifestation of modular localization. Besides philosophically unexpected consequences, it has led to a new constructive “outside-inwards approach” in which the pointlike fields and the compactly localized operator algebras which they generate only appear from intersecting much simpler algebras localized in noncompact wedge regions whose generators have extremely mild almost free field behavior.Another consequence of vacuum polarization presented in this essay is the localization entropy near a causal horizon which follows a logarithmically modified area law in which a dimensionless area (the area divided by the square of dR where dR is the thickness of a light-sheet) appears. There are arguments that this logarithmically modified area law corresponds to the volume law of the standard heat bath thermal behavior. We also explain the symmetry enhancing effect of holographic projections onto the causal horizon of a region and show that the resulting infinite dimensional symmetry groups contain the Bondi–Metzner–Sachs group. This essay is the second part of a partitioned longer paper.     

Incoherent control of two classes of finite-level quantum systems

The incoherent control of finite-level quantum systems is investigated.Following a brief introduction to coherent control paradigms in quantum control,a control problem that can not be accomplished using only coherent control is presented.For such a control problem,it is proved that it can be accomplished using incoherent control based on projective measurement and coherent control for two classes of finite-level quantum systems,i.e.,eigenstate controllable quantum systems and wavefunction controllable quantum systems.     

小分子势能面及其量子动力学研究

简要介绍了原子与分子物理研究所,近几年来在小分子势能面、量子散射动力学和弱相互作用聚合物光谱等方面的理论研究.     

解析角变量量子化的困难

目的分析量子力学中角变量量子化的困难。方法采用列举,分析及归纳法进行论证。结果角变量量子化遇到难以解决的困难。结论在现有量子理论基础上,角变量量子化无法解决。     

基于EPR对的多方量子秘密共享方案

利用Einstein-Podolsky-Rosen(EPR)对提出一个多方秘密共享方案,该方案不需要贝尔测量。每个EPR对代表Alice想要传送的一个秘密信息。先前的接收者在每个粒子上随机地执行一个任意的幺正操作,相当于用一个随机的密钥加密粒子,确保了这个方案的安全性。     

基于初等变换的量子码构造

为了探讨一般量子稳定子码的简单构造方法,在满足对偶包含条件C⊥(C)C的约束下,提出了从一类量子稳定子码C= [[N,K,D]]q到量子稳定子码C'=[[N-1,K+1,D']]q的基于矩阵初等变换的构造方法.该方法的优点在于码字构造时,量子稳定子码和经典纠错码都是在Fq上进行操作,无须做Fq2到Fq上的映射转换,也无...     

共振QED腔中无需Bell基测量N个量子比特GHZ态的传输

在共振QED腔中,设计了一个传输N个量子比特GHZ态的方案。通过选择合适的哈密顿量,无需Bell基测量,就可以实现从原子A到原子B的量子隐形传态。当然,在传输过程中要求的是选择好腔与原子的作用时间。     

Statistical models for intensity and phase fluctuation of laser light in a turbulent medium

The probability density function of irradiance fluctuations in a turbulent atmosphere remains an open topic of research.It is generally considered that the speckle field has an elliptical-Gaussian speckle distribution,but because of its complexity there is still no exact analytical solution.By introducing the concept of random fluctuation intensity and using an equiprobability density ellipse,exact models of the random fluctuation intensity and its phase are proposed.Through theoretical analysis and numerical simulation,it is concluded that the random fluctuation intensity and its corresponding phase are independent only under the circular-Gaussian approximation.     

Operational properties and matrix representations of quantum measures

Denoted by M(A), QM(A) and SQM(A) the sets of all measures, quantum measures and subadditive quantum measures on a σ-algebra A, respectively. We observe that these sets are all positive cones in the real vector space F(A) of all real-valued functions on A and prove that M(A) is a face of SQM(A). It is proved that the product of m grade-1 measures is a grade-m measure. By combining a matrix M _μ to a quantum measure μ on the power set A _n of an n-element set X, it is proved that μ ≪ ν (resp. μ ⊥ ν) if and only if M _μ ≪ M _ν (resp. M _μ M _ν =0). Also, it is shown that two nontrivial measures μ and ν are mutually absolutely continuous if and only if μ·ν∈QM(A _n ). Moreover, the matrices corresponding to quantum measures are characterized. Finally, convergence of a sequence of quantum measures on A _n is introduced and discussed; especially, the Vitali-Hahn-Saks theorem for quantum measures is proved.     

Sufficient and necessary conditions of separability for bipartite pure states in infinite-dimensional systems

The PHC criterion and the realignment criterion for pure states in infinite-dimensional bipartite quantum systems are given. Furthermore, several equivalent conditions for pure states to be separable are generalized to infinite-dimensional systems.