On Noninertial Frames of Reference

It is shown that on the principle of independence of the velocity of light not only on the speed but also on the acceleration of a source emitting the light, it would be natural to relate the examination of accelerated frames of reference with a line chain bundle à _3,1 (covering structure) constructed over the affine space-time A _3,1 rather than with a metric structure of the space-time continuum A _3,1.     

再谈恢复系数的物理意义

1998年第4期<物理通报>发表了徐志和的文章"恢复系数的意义及范围"[1],这篇文章是从动量的角度讨论恢复系数的物理意义,<大学物理>上也发表过有关恢复系数的文章[2～3],他们也只是从速度或者动量的角度去讨论恢复系数,并没有从能量方面去探讨.本文完全从能量的角度去讨论这个问题,而且结论简单富有意义,使得恢复系数的物理含义更加丰富多彩.     

On the Definition of Temperature in FPU Systems

It is usually assumed, in classical statistical mechanics, that the temperature should coincide, apart from a suitable constant factor, with the mean kinetic energy of the particles. We show that this is not the case for Fermi–Pasta–Ulam systems, in conditions in which energy equipartition between the modes is not attained. We find that the temperature should be rather identified with the mean value of the energy of the low frequency modes.     

Generation of Frames

It is well known that, given a generic frame, there exists a unique frame operator which satisfies, together with its adjoint, a double operator inequality. In this paper we start considering the inverse problem, that is how to associate a frame to certain operators satisfying the same kind of inequality. The main motivation of our analysis is the possibility of using frame theory in the discussion of some aspects of the quantum time evolution, both for open and for closed physical systems.     

WYD-like Skew Information Measures

Following recent advances in the theory of operator monotone functions we introduce new classes of WYD-like skew information measures.     

On the Definition of Gauge Transformations in Gauge Theory

The different types of gauge transformations in gauge theory are discerned and defined in fiber bundle terms. The gauge gravitation case is analysed in order to examine various versions of the gauge gravitation theory.     

Uniform Entanglement Frames

We present several criteria for genuine multipartite entanglement from universal uncertainty relations based on majorization theory. Under non-negative Schur-concave functions, the vector-type uncertainty relation generates a family of infinitely many detectors to check genuine multipartite entanglement. We also introduce the concept of k-separable circles via geometric distance for probability vectors, which include at most (k?1)-separable states. The entanglement witness is also generalized to a universal entanglement witness which is able to detect the k-separable states more accurately.     

基于多任务管理系统的高清视频处理

提出了一种基于多任务管理系统的高清视频处理技术,具有提升高清视频处理实时性,优化计算资源利用率,降低高清视频处理应用设计难度的特点。首先,介绍了面向异构多核计算环境的多任务管理系统,用于多种类型任务的调度执行及计算资源的负载均衡。在此基础上,设计了一种软件流水线,将对于高清视频的复杂而重复的处理过程分解成多类型的任务,提交至多任务管理系统。最后,对基于多任务管理系统的高清视频处理技术进行了实验验证。结果表明,异构多核环境下,高清视频处理的计算性能提升了3.7倍。     

Concurrence and Wigner-Yanase Skew Information

A measure of entanglement on n qubits is defined in terms of Wigner-Yanase skew information. It is shown that the measure coincides essentially with the concurrence on two qubits. This uncovers the information-theoretic meaning of the concurrence of entangled states.     

Inequalities for Quantum Skew Information

We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors. We introduce an order relation on the set of functions representing quantum Fisher information that renders the set into a lattice with an involution. This order structure generates new inequalities for the metric adjusted skew informations. In particular, the Wigner–Yanase skew information is the maximal skew information with respect to this order structure in the set of Wigner–Yanase–Dyson skew informations.     

Skew Disperson and Continuity of Local Time

Results are provided that highlight the effect of interfacial discontinuities in the diffusion coefficient on the behavior of certain basic functionals of the diffusion, such as local times and occupation times, extending previous results in (Appuhamillage et al., Ann Appl Probab 21:183–214, 2011; Water Resour Res 46:W07511, 2009) on the behavior of first passage times. The main goal is to obtain a characterization of large scale parameters and behavior by an analysis at the fine scale of stochastic particle motions. In particular, considering particle concentration modeled by a diffusion equation with piecewise constant diffusion coefficient, it is shown that the continuity of a natural modification of local time is the individual (stochastic) particle scale equivalent to continuity of flux at the scale of the (macroscopic) particle concentrations. Consequences of this involve the determination of a skewness transmission probability in the presence of an interface, as well as corollaries concerning interfacial effects on occupation time of the associated stochastic particles.     

On the Analytical Derivation of Quantum Fisher Information and Skew Information for two Qubit X States

The quantum Fisher information defined via the symmetric logarithmic derivative and the skew information are two different aspects describing the information contents of quantum mechanical density operators. They are considered as natural generalizations of the classical Fisher information and constitute key ingredients in the emerging field of quantum metrology. In this paper, we give the analytical expression of quantum Fisher information and skew information for two-qubit system prepared in a two-qubit state of X type.

     

Note on the Wigner-Yanase-Dyson Skew Information

In this note, releasing the restriction on operators which are observables (self-adjoint), a generalization of the Wigner-Yanase-Dyson skew information is given. We study some properties of the generalization of the Wigner-Yanase-Dyson skew information and related quantities from the operator theory point of view. In particular, an elementary proof of the convexity with the Wigner-Yanase-Dyson skew information is obtained.     

Dimensions of Attractors in Pinched Skew Products

We study dimensions of strange non-chaotic attractors and their associated physical measures in so-called pinched skew products, introduced by Grebogi and his coworkers in 1984. Our main results are that the Hausdorff dimension, the pointwise dimension and the information dimension are all equal to one, although the box-counting dimension is known to be two. The assertion concerning the pointwise dimension is deduced from the stronger result that the physical measure is rectifiable. Our findings confirm a conjecture by Ding, Grebogi and Ott from 1989.     

On a Mathematical Definition of a Renormalization Transformation for Lattice Gauge Theories

In lattice gauge theories, the renormalization transformation and its properties are formally defined and formally proved by making use of Dirac's function and its properties. In this Letter, we shall give a mathematically rigorous definition of a renormalization transformation for lattice pure gauge field theories and show the required properties, which are use to show ultraviolet stability of lattice gauge theories.     

Degradation of Entanglement in Moving Frames

The distillability of bipartite entangled state as seen by moving observers has been investigated. It is found that the same initial entanglement for a state parameter α and its “normalized partner” ?{1-a²}\sqrt{1-\alpha^{2}} will be degraded as seen by moving observer. It is shown that in the ultra relativistic limit, the state does not have distillable entanglement for any α.     

Tripartite Entanglements in Noninertial Frames

Entanglement degradation caused by the Unruh effect is discussed for the tripartite GHZ or W states constructed by modes of a non-interacting quantum field viewed by one inertial observer and two uniformly accelerated observers. For fermionic states, the Unruh effect even for infinite accelerations cannot completely remove the entanglement. However, for the bosonic states, the situation is different and the entanglement vanishes asymptotically. Also, the entanglement is studied for the bipartite subsystems. While for the GHZ states all the bipartite subsystems are identically disentangled, for the W states the bipartite subsystems are somewhat entangled, though, this entanglement can be removed for appropriately accelerated observers. Interestingly, logarithmic negativity as a measure for determining the entanglement of one part of the system relative to the other two parts, is not generally the same for different parts. This means that we encounter tripartite systems where each part is differently entangled to the other two parts.     

Skew scattering of electrons in a spin glass

The field and temperature dependences of the extraordinary Hall effect in alloys of the $\text{Au}$Fe system have been measured for the first time over a range that encompasses the spin glass regime. We are able to show how the data reflect the competition between the spin glass ordering interactions and the disruptive effects of temperature and applied magnetic field.