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About Factorization of Quantum States with Few Qubits

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Journal of Applied Mathematics and Physics 2017年第2期5卷 469-480页

作者： G. V. López G. Montes M. Avila J. Rueda-Paz departamen to de Física Universidad de Guadalajara Guadalajara Mexico centro univeristario uaem valle de chalco Valle de Chalco Estado de México México

Through the study of the factorization conditions of a wave function made up of two, three and four qubits, we propose an analytical expression which can characterize entangled states in terms of the coefficients of t... 详细信息

关键词： Entangled State Factorized State decoherence Quantum Computing and Information Chain of Spins System

Quantum information entropies of the eigenstates for the Pschl-Teller-like potential

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Chinese Physics B 2013年第5期22卷 113-117页

作者： Guo-Hua Sun M. Avila Aoki Shi-Hai Dong centro Universitario valle de chalco Universidad Autónoma del Estado de México departamento de Física Escuela Superior de Física y MatemáticsInstituto Politécnico Nacional

Shannon entropy for lower position and momentum eigenstates of Ptschl-Teller-like potential is evaluated. Based on the entropy densities demonstrated graphically, we note that the wave through of the position information entropy density p （x） moves right when the potential parameter V1 increases and its amplitude decreases. However, its wave through moves left with the increase in the potential parameter 丨V2丨. Concerning the momentum information entropy density p（p）, we observe that its amplitude increases with increasing potential parameter V1, but its amplitude decreases with increasing丨V2丨. The Bialynicki-Birula-Mycielski （BBM） inequality has also been tested for a number of states. Moreover, there exist eigenstates that exhibit squeezing in the momentum information entropy. Finally, we note that position information entropy increases with V1, but decreases with 丨V2丨, However, the variation of momentum information entropy is contrary to that of the position information entropy.

关键词： bound states quantum information entropy Poschl-Teller-like potential

Morse Potential in the Momentum Representation

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Communications in Theoretical Physics 2012年第12期58卷 815-818页

作者：孙国华董世海 centro Universitario valle de chalco Universidad Autónoma del Estado de México Valle de Chalco SolidaridadEstado de México 56615 Mexico departamento de Física Escuela Superior de Física y Matemáticas Instituto Politécnico Nacional Edificio 9 Unidad Profesional Adolfo López MateosMexico D.F. 07738 Mexico

The momentum representation of the Morse potential is presented analytically by hypergeometric function. The properties with respect to the momentum p and potential parameter β are studied. Note that | Ψ(p) | is a nodeless function and the mutual orthogonality of functions is ensured by the phase functions arg[Ψ(p)]. It is interesting to see that the | Ψ(p) | is symmetric with respect to the axis p = 0 and the number of wave crest of | Ψ(p) | is equal to n + 1. We also study the variation of | Ψ(p) | with respect to β. The amplitude of | Ψ(p) | first increases with the quantum number n and then deceases. Finally, we notice that the discontinuity in phase occurs at some points of the momentum p and the position and momentum probability densities are symmetric with respect to their arguments.

关键词： Morse势动量表象超几何函数函数参数概率密度不连续性对称轴量子数

Relativistic Treatment of Spinless Particles Subject to a Tietz-Wei Oscillator

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Communications in Theoretical Physics 2012年第8期58卷 195-197页

作者：孙国华董世海 centro universitario valle de chalco Universidad Autónoma del Estado de México departamento de Física Escuela Superior de Física y Matemáticas Instituto Politécnico Nacional Edificio 9 Unidad Profesional Adolfo López Mateos

The bound state solutions of the relativistic Klein-Gordon equation with the Tietz-Wei diatomic molecular potential are presented for the s wave. It is shown that the solutions can be expressed by the generalized hype... 详细信息

关键词：相对论性 Klein-Gordon方程自旋粒子振荡器治疗归一化波函数双原子分子超几何函数