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Implementation of the Fredkin gate with a three-qubit mixed-spin Heisenberg model

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Science china(physics,Mechanics & Astronomy) 2010年第7期53卷 1276-1280页

作者： FAN QiuBo College of mathematics and physics,Xuzhou institute of technology,Xuzhou 221008,china 1. College of mathematics and physics Xuzhou Institute of Technology Xuzhou 221008 China

We show that a local unitary(LU) equivalent Fredkin gate can be obtained from the free evolution of three mixed-spin qubits by virtue of numerical simulation with only one *** spin-1 qubit acts as the control qubit,and two spin-1/2 qubits,which interact with the spin-1 qubit via the first neighbor spin interaction,respectively,play the role of target *** also examine the imperfect Fredkin gate operation by considering the effects of nonidentical coupling constants,uniform and inhomogeneous magnetic fields.

关键词： Fredkin gate mixed spin quantum computation

Maximal possible accretion rates for slim disks

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Science china(physics,Mechanics & Astronomy) 2009年第12期52卷 2054-2058页

作者： LIN YiQing1 & JIAO ChengLiang2 1 Department of mathematics and physics,Xiamen University of technology,Xiamen 361024,china 2 Department of physics and institute of Theoretical physics and Astrophysics,Xiamen University,Xiamen 361005,china 1. Department of mathematics and physics Xiamen University of Technology Xiamen 361024 China 2. Department of physics and institute of Theoretical physics and Astrophysics Xiamen University Xiamen 361005 China

It was proved in the previous work that there must be a maximal possible accretion rate $ \dot M_{max} $ for a slim disk. Here we discuss how the value of $ \dot M_{max} $ depends on the two fundamental parameters of the disk, namely the mass of the central black hole M and the viscosity parameter α. It is shown that $ \dot M_{max} $ increases with decreasing α, but is almost independent of M if $ \dot M_{max} $ is measured by the Eddington accretion rate $ \dot M_{Edd} $ , which is in turn proportional to M.

关键词： accretion disks black hole physics hydrodynamics

C^MC^N D-computable state

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Science china(physics,Mechanics & Astronomy) 2008年第9期51卷 1300-1307页

作者： LIU DongDong1,2 & DI YaoMin1 1 School of physics & Electronic Engineering,Xuzhou Normal University,Xuzhou 221116,china 2 School of mathematics & physics Science,Xuzhou institute of technology,Xuzhou 221008,china 1. School of physics & Electronic Engineering Xuzhou Normal University Xuzhou 221116 China 2. School of mathematics & physics Science Xuzhou Institute of Technology Xuzhou 221008 China

The notions of D-computable state and D-concurrence are generalized to the CMCN system. A class of D-computable state on CMCN is given and the calculating method of the lower bound of D-concurrence is provided. Th... 详细信息

关键词： quantum entanglement entanglement of formation concurrence D-computable state

TWO-WEIGHT NORM INEQUALITY FOR IMAGINARY POWERS OF A LAPLACE OPERATOR

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Journal of Systems Science & Complexity 2006年第3期19卷 403-408页

作者： Jianlin ZHANG Department of mathematics and physics,Zhongyuan institute of technology,Zhengzhou 450007,china Department of mathematics,Beijing institute of technology,Beijing 100081,china. Department of mathematics and physics Zhongyuan Institute of Technology Zhengzhou 450007 China

We study two-weight norm inequality for imaginary powers of a Laplace operator in R^n, n ≥ 1, especially from weighted Lebesgue space Lv^p（R^n） to weighted Lebesgue space Lμ^p（R^n）, where 1 〈 p 〈 ∞. We prove that the two-weighted norm inequality holds whenever for some t 〉 1, （μ^t, v^t） ∈ Ap, or if （μ, v） ∈Ap, where μ and v^-1/（p-1） satisfy the growth condition and reverse doubling property.

关键词： Ap condition Laplace operator weighted norm inequality.

Complex variable method for plane elasticity of icosahedral quasicrystals and elliptic notch problem

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Science china(physics,Mechanics & Astronomy) 2008年第7期51卷 773-780页

作者： LI LianHe1,2 & FAN TianYou1 1 Department of physics, Beijing institute of technology, Beijing 100081, china 2 College of mathematics Science, Inner Mongolia Normal University, Hohhot 010022, china Department of physics Beijing Institute of Technology Beijing 100081 China College of mathematics Science Inner Mongolia Normal University Hohhot 010022 China

The complex variable method for the plane elasticity theory of icosahedral quasicrystals is developed. Based on the general solution obtained previously, complex representations of stress and displacement components of phonon and phason fields in the quasicrystals are given. With the help of conformal transformation, an analytic solution for the elliptic notch problem of the material is presented. The solution of the Griffith crack problem can be observed as a special case of the results. The stress intensity factor and energy release rate of the crack are also obtained.

关键词： icosahedral quasicrystals plane elasticity elliptic notch complex variable method

Two-dimensional simulation of Poiseuille-Rayleigh-Bénard flows in binary fluids with Soret effect

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Progress in Natural Science:Materials International 2007年第12期17卷 1389-1396页

作者： Hu Jun1 and Yin Xieyuan2(1. institute of Applied physics and Computational mathematics, Beijing 100088, china 2. Department of Modern Mechanics, University of Science and technology of china, Hefei 230027, china) institute of Applied physics and Computational mathematics Beijing 100088 China Department of Modern Mechanics University of Science and Technology of China Hefei 230027 China

Poiseuille-Rayleigh-Bénard flows in binary fluids with Soret effect are directly simulated by a mixed finite element method. A temperature perturbation is used as an initial disturbed source for the basic parallel flows. The whole spatio-temporal evolution of the binary fluid flows is exhibited: initially only the disturbed mode with the wavenumber k=π is amplified while others are damped, and continuously the amplified mode grows further and the nonlinear effect becomes important; after a nonlinear evolution transition the flow system evolves finally into a periodic right traveling wave.

关键词： Poiseuille-Rayleigh-Bénard flow Soret effect through-flow.

Bose-Einstein Condensation in Linear Sigma Model at Hartree Approximation

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Communications in Theoretical physics 2008年第5期49卷 1261-1264页

作者： SHU Song~(1,+) LI Jia-Rong~21 faculty of physics and Electronic technology,Hubei University,Wuhan 430062,china2 institute of Particle physics,Huazhong Normal University,Wuhan 430079,china faculty of physics and Electronic technology Hubei University Wuhan 430062 China institute of Particle physics Huazhong Normal University Wuhan 430079 China

The BEC of charged pions is investigated in the framework of O(4) linear sigma *** using Cornwall-Jackiw- Tomboulis formalism,we have derived the gap equations for the effective masses of the mesons at finite tempera-ture and finite isospin *** critical temperature and phase diagram of BEC are discussed in the non-chiral limitat Hartree approximation.

关键词： finite temperature field theory Bose-Einstein condensation phase transitions

ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES

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Acta Mathematica Scientia 2010年第5期30卷 1696-1708页

作者：毛明志李志民 School of mathematics and physics China University of Geosciences Department of Applied mathematics and physics Anhui Institute of Science and Technology

In this article, we mainly discuss the asymptotic behavior for multi-dimensional continuous-time random walk in random environment with holding times. By constructing a renewal structure and using the point ＂environment viewed from the particle＂, under General Kalikow＇s Condition, we show the law of large numbers （LLN） and central limit theorem （CLT） for the escape speed of random walk.

关键词： random walk random environment central limit theorem law of large numbers renewal structure

Dynamic information theory and information description of dynamic systems

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Science china(physics,Mechanics & Astronomy) 2010年第4期53卷 607-627页

作者： XING XiuSan Department of physics, Beijing institute of technology, Beijing 100081, china 1. Department of physics Beijing Institute of Technology Beijing 100081 China

In this paper, we develop dynamic statistical information theory established by the author. Starting from the ideas that the state variable evolution equations of stochastic dynamic systems, classical and quantum nonequilibrium statistical physical systems and special electromagnetic field systems can be regarded as their information symbol evolution equations and the definitions of dynamic information and dynamic entropy, we derive the evolution equations of dynamic information and dynamic entropy that describe the evolution laws of dynamic information. These four kinds of evolution equations are of the same mathematical type. They show in unison when information transmits in coordinate space outside the systems that the time rate of change of dynamic information densities originates from their drift, diffusion and dissipation in state variable space inside the systems and coordinate space in the transmission processes, and that the time rate of change of dynamic entropy densities is caused by their drift, diffusion and production in state variable space inside the systems and coordinate space in the transmission processes. When space noise can be neglected, an information wave will appear. If we only consider the information change inside the systems, dynamic information evolution equations reduce to information equations corresponding to the dynamic equations which describe evolution laws of the above dynamic systems. This reveals that the evolution laws of respective dynamic systems can be described by information equations in a unified fashion. Hence, the evolution processes of these dynamic systems can be abstracted as the evolution processes of information. Furthermore, we present the formulas for information flow, information dissipation rate, and entropy production rate. We prove that the information production probably emerges in a dynamic system with internal attractive interaction between the elements, and derive a formula for this information production

关键词： dynamic information evolution equation informationization of dynamic equation information wave information flow and force information dissipation and production degradation and evolution