Small-World Networks with Unitary Cayley Graphs for Various Energy Generation

Complex networks have been a prominent topic of research for several years,spanning a wide range of fields from mathematics to computer science and also to social and biological sciences.The eigenvalues of the Seidel matrix,Seidel Signless Laplacian matrix,Seidel energy,Seidel Signless Laplacian energy,Maximum and Minimum energy,Degree Sum energy and Distance Degree energy of the Unitary Cayley graphs[UCG]have been calculated.Low-power devices must be able to transfer data across long distances with low delay and reliability.To overcome this drawback a small-world network depending on the unitary Cayley graph is proposed to decrease the delay and increase the reliability and is also used to create and analyze network communication.Small-world networks based on the Cayley graph have a basic construction and are highly adaptable.The simulation result shows that the small-world network based on unitary Cayley graphs has a shorter delay and is more reliable.Furthermore,the maximum delay is lowered by 40%.

Nonstandard Unitary Transformations of Quantum States

In quantum optics, unitary transformations of arbitrary states are evaluated by using the Taylor series expansion. However, this traditional approach can become cumbersome for the transformations involving non-commuting operators. Addressing this issue, a nonstandard unitary transformation technique is highlighted here with new perspective. In a spirit of “quantum” series expansions, the transition probabilities between initial and final states, such as displaced, squeezed and other nonlinearly transformed coherent states are obtained both numerically and analytically. This paper concludes that, although this technique is novel, its implementations for more extended systems are needed.

一种用于二维DOA估计的新颖Unitary ESPRIT算法

提出了一种基于双均匀线阵的特性新颖的Unitary ESPRIT算法。算法根据阵列接收数据,构造了一种实值数据形式,对其作实值奇异值分解,获得信号子空间。算法利用阵元几何的平移不变特性,构造了包含入射信号方位角和俯仰角的估计量。利用构造的估计量的特征值估计俯仰角信息,利用其对应的特征向量估计方位角信息,自动完成角度的配对。所提方法不仅保持了矩阵DOA估计算法和二维ESPRIT算法的优点,如自动的参数配对、不需要二维谱峰搜索等,而且能够在实数域中直接获得信号子空间,能够有效降低运算量。算法可以增加估计信号个数。仿真实验验证了算法的有效性。

基于2D-Unitary ESPRIT算法的DOA估计新方法

提出了一种基于2D-Unitary ESPRIT算法的六角星形阵列波达方向(DOA)估计方案。利用星形阵列子阵列的多种平移不变性,将子阵列两两组合,采用2D-Unitary ESPRIT算法分别对每种组合进行估计,获取了DOA估计的候选集,然后运用2D-MUSIC算法的功率谱函数在候选集中对DOA进行最优估计,得出DOA的最优估值,并进行了仿真实验。该方案避免了由2D-MUSIC算法因谱峰搜索而带来的庞大计算成本,且多种平移不变子阵列组合的运用减小了DOA估计误差。仿真表明,此方案与传统2D-Unitary ESPRIT算法相比,减小了估计值的均方根误差,提高了空间分辨率。

囚禁有限unitary费米气体的热力学性质

应用分数不相容统计,研究了三维简谐势阱中有限unitary费米气体在绝对零度和有限温度下的热力学性质,并与势阱中满足热力学极限条件的unitary费米气体进行了比较.结果表明:绝对零度时有限系统的费米能、粒子平均能量随粒子数的增加而增大,并以满足热力学极限系统的对应物理量为上限,有限系统的费米能、粒子平均能量随势阱边界变化存在极大值.有限温度条件下给定粒子数时,有限系统的粒子平均能量、粒子平均熵、粒子平均热容量分别存在对应的特征温度,当温度等于物理量对应的特征温度时,有限系统与满足热力学极限系统的同一物理量相等,低于(或高于)物理量对应的特征温度时,有限系统的物理量将大于(或小于)满足热力学极限系统的同一量.给定温度条件下,有限系统粒子平均能量、粒子平均熵、粒子平均热容量分别存在对应的特征粒子数,当粒子数等于物理量对应的特征粒子数时,有限系统与满足热力学极限系统的同一物理量相等,少于(或多于)物理量对应的特征粒子数时,有限系统的物理量将小于(或大于)满足热力学极限系统的同一量.

EM-based detection scheme for differential unitary space-time modulation

The performance loss of an approximately 3 dB signal-to-noise ratio is always paid with conventional differential detection compared to the related coherent detection. A new detection scheme consisting of two steps is proposed for the differential unitary space-time modulation （DUSTM） system. In the first step, the data sequence is estimated by conventional unitary space-time demodulation （DUSTD） and differentially encoded again to produce an initial estimate of the transmitted symbol stream. In the second step, the initial estimate of the symbol stream is utilized to initialize an expectation maximization （EM）-based iterative detector. In each iteration, the most recent detected symbol stream is employed to estimate the channel, which is then used to implement coherent sequence detection to refine the symbol stream. Simulation results show that the proposed detection scheme performs much better than the conventional DUSTD after several iterations.

Remote Control of Unitary Air Conditioner Based on Manufacturing Message Specification

Traditional air conditioner used to be in local control mode. However, with the development of modern information technology, the control of air conditioner will have to support many more functions. As a first step in such a development, we have implemented a remote monitoring system of unitary air conditioners, using the manufacturing message specification (MMS). MMS is an OSI application protocol designed for the remote control and monitoring of real devices. The functions supported are those that an operator would do normally at the console of the unitary air conditioner. Due to the accomplishment of UMCS (Unitary air conditioner MMS Control System), there will be a leap of the application of MMS and the control technology of unitary air conditioner.

Generally Unitary Solution to a System of Matrix Equations over the Quaternion Field

Generally unitary solution to the system of martix equations over the quaternion field [X mA ns =B ns ,X nn C nt =D nt ] is considered. A necessary and sufficient condition for the existence of and the expression for the generally unitary solution of the system are derived.

Unitary Noise and the Mermin-GHZ Game

Communication complexity is an area of classical computer science which studies how much communication is necessary to solve various distributed computational problems.Quantum information processing can be used to reduce the amount of communication required to carry out some distributed problems.We speak of pseudo-telepathy when it is able to completely eliminate the need for communication.Since it is generally very hard to perfectly implement a quantum winning strategy for a pseudo-telepathy game,quantum players are almost certain to make errors even though they use a winning strategy.After introducing a model for pseudotelepathy games,we investigate the impact of erroneously performed unitary transformations on the quantum winning strategy for the Mermin-GHZ game.The question of how strong the unitary noise can be so that quantum players would still be better than classical ones is also dealt with.

A note on local unitary equivalence of isotropic-like states

We consider the local unitary equivalence of a class of quantum states in a bipartite case and a multipartite case. The necessary and sufficient condition is presented. As special cases, the local unitary equivalent classes of isotropic state and Werner state are provided. Then we study the local unitary similar equivalence of this class of quantum states and analyze the necessary and sufficient condition.

偶数阶Unitary Cayley图的零化度

n阶Unitary Cayley图的顶点集是Zn={0,1,…,n-1},若顶点a与b满足gcd(a-b,n)=1,则顶点a与b不相邻.本文通过偶数阶Unitary Cayley图的邻接矩阵的元素排列规律,应用数学归纳法和数论中的一些常用等式,得到了偶数阶Unitary Cayley图的零化度.

一种新的快衰落信道下的差分Unitary时空编码调制方法

该文提出了一种新的基于循环对角群码的差分Unitary时空编码调制方法,这种新方法通过改变发送符号的顺序来降低快衰落信道时变对解码造成的影响,从而提高在快衰落信道下的性能。这种性能的提高是以处理时延和额外能量开销的增加为代价的,在实际应用中需要在这两者之间寻求平衡,处理时延越大,额外的能量开销就越小,反之亦然。与传统的差分Unitary时空编码调制方法比较,理论分析和matlab做的Monte Carlo仿真结果表明, 在快衰落信道下,提出的差分Unitary时空编码调制方法可获得明显的性能增益,能够显著降低系统的成对差错概率和误比特率。

基于Unitary ESPRIT的双基地MIMO雷达目标定位算法

针对双基地MIMO雷达目标定位问题,提出一种基于Unitary ESPRIT的双基地MIMO雷达目标定位算法.该算法利用MIMO雷达发射阵列和接收阵列的相位延迟特性对接收数据矩阵进行重构,使协方差矩阵为Centro-Hermitian矩阵,然后通过酉变换将协方差矩阵从复数域变换为实数域,最后利用Unitary ESPRIT算法实现目标的DOD和DOA估计,且DOD和DOA自动配对.与传统的ESPRIT算法相比,该方法有效地增加接收数据信息,提高了目标角度估计性能,且所有的特征值分解及矩阵计算均在实数域进行,大大降低了运算复杂度.仿真结果验证了该算法的有效性.

How tightly is the nuclear symmetry energy constrained by a unitary Fermi gas?

We examine critically how tightly the density dependence of nuclear symmetry energy E_(sym)(q) is constrained by the universal equation of state of the unitary Fermi gas EUG(q) considering currently known uncertainties of higher order parameters describing the density dependence of the equation of state of isospin asymmetric nuclear matter. We found that E_(UG)(q) does provide a useful lower boundary for the E_(sym)(q). However, it doesnot tightly constrain the correlation between the magnitude E_(sym)(q_0) and slope L unless the curvature K_(sym)of the symmetry energy at saturation density q_0 is more precisely known. The large uncertainty in the skewness parameters affects the E_(sym)(q_0) versus L correlation by the same almost as significantly as the uncertainty in K_(sym).

CONSTRUCTION OF AUTHENTICATION CODES WITH ARBITRATION FROM UNITARY GEOMETRY

A family of authentication codes with arbitration is constructed from unitary geometry,the parameters and the probabilities of deceptions of the codes are also computed.In a special case a perfect authentication code with arbitration is obtained.

A unitary caring science resilience-building model:Unifying the human caring theory and research-informed psychology and neuroscience evidence

Resilience is the psychological capability to recover from difficulties quickly.Healthcare professionals are especially vulnerable to job-related stress and burnout.Unitary Caring Science is the framework for Watson’s Human Caring Theory,providing a philosophy of practice in healthcare.With the high rates of clinician burnout and psychological issues,it will be significant to unify the human caring theory with research-informed psychological and neuroscience evidence to develop clinicians’resilience-building strategies.The purpose of this article is to introduce a Unitary Caring Science Resilience Model and explain the science behind the core strategies based on Unitary Caring Science philosophy and the psychological and neuroscience research.This model includes six strategies:Embracing loving-kindness for self and others;Nurturing interpersonal and intersubjective connections/relations;Deepening a creative use of self and sense of belonging;Balancing self-learning,self-awareness,and an evolved selfconsciousness;Valuing forgiveness and releasing negativity;Inspiring and maintaining faith-hope.The caring-theory guided resilience-building strategies are proven to alleviate the depletion of clinicians’energy and emotions.Healthcare practices are challenging but rewarding.Clinicians can be emotionally,psychologically,and physically exhausted if they always consider themselves‘giving’and‘doing’institutional tasks without a sense of purpose or fulfillment.The practice can be rewarding if it becomes more aligned with clinicians’value to serve humanity.Through the unitary caring science resilience strategies,clinicians can build resilience as an antidote to clinician burnout and depletion.

Entanglement Capacity of Two-Qubit Unitary Operator with the Help of Auxiliary System

The＇entanglement capacity of general two-qubit unitary operators is studied when auxiliary systems are allowed, and the analytical results based on linear entropy when input states are disentangled are given. From the results the condition for perfect entangler, α1 = α2 = π/4, is obtained. Contrary to the case without auxiliary system, the parameter α3 may play active role to the entanglement capacity when auxiliary systems are allowed.

The universal sound velocity formula for the strongly interacting unitary Fermi gas

Due to the scale invariance, the thermodynamic laws of strongly interacting limit unitary Fermi gas can be similar to those of non-interacting ideal gas. For example, the virial theorem between pressure and energy density of the ideal gas P = 2E/aV is still satisfied by the unitary Fermi gas. This paper analyses the sound velocity of unitary Fermi gases with the quasi-linear approximation. For comparison, the sound velocities for the ideal Boltzmann, Bose and Fermi gas are also given. Quite interestingly, the sound velocity formula for the ideal non-interacting gas is found to be satisfied by the unitary Fermi gas in different temperature regions.

Matrix Elements of One— and Two—Body Operators in the Unitary Group Approach （Ⅱ）—Application

Simple analytical expressions for one- and two-body matrix elements in the unitary group approach to the configuration interaction problems of many-electron systems are obtained based on the previous results for general irreps.

Semi-unitary Transformation Induced Supersymmetric Partner Hulthen System

The supersymmetric partner system of Hulthen system in the s state is obtained by using a semi-unitary transformation.The physical foundation of applications of semi-unitary transformation to supersymmetric quantum mechanics is explored.