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Dilation,discrimination and Uhlmann's theorem of link products of quantum channels
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作者 雷强 操刘桁 +1 位作者 Asutosh Kumar 武俊德 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第3期201-206,共6页
We establish the Stinespring dilation theorem of the link product of quantum channels in two different ways,discuss the discrimination of quantum channels,and show that the distinguishability can be improved by self-l... We establish the Stinespring dilation theorem of the link product of quantum channels in two different ways,discuss the discrimination of quantum channels,and show that the distinguishability can be improved by self-linking each quantum channel n times as n grows.We also find that the maximum value of Uhlmann's theorem can be achieved for diagonal channels. 展开更多
关键词 quantum channels link products Stinespring dilation theorem Uhlmann's theorem
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Duality theorem for smash coproduct over quantum groupoids
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作者 周璇 刘玲 王栓宏 《Journal of Southeast University(English Edition)》 EI CAS 2010年第4期647-650,共4页
The duality theorem of generalized weak smash coproducts of weak module coalgebras and comodule coalgebras over quantum groupoids is studied.Let H be a weak Hopf algebra,C a left weak H-comodule coalgebra and D a left... The duality theorem of generalized weak smash coproducts of weak module coalgebras and comodule coalgebras over quantum groupoids is studied.Let H be a weak Hopf algebra,C a left weak H-comodule coalgebra and D a left weak H-module coalgebra.First,a weak generalized smash coproduct C×lH D over quantum groupoids is defined and the module and comodule structures on it are constructed.The weak generalized right smash coproduct C×rL D is similar.Then some isomorph-isms between them are obtained.Secondly,by introducing some concepts of a weak convolution invertible element,a weak co-inner coaction and a strongly relative co-inner coaction,a sufficient condition for C×rH D to be isomorphic to Cv D is obtained,where v∈WC(C,H)and the coaction of H on D is right strongly relative co-inner.Finally,the duality theorem for a generalized smash coproduct over quantum groupoids,(C×lH H)×lH H≌Cv(H×lH H),is obtained. 展开更多
关键词 weak Hopf algebras(quantum groupoids) weak generalized smash coproducts weak module coalgebras weak comodule coalgebras weak bimodule coalgebras duality theorem
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Quantum Secret Sharing Based on Chinese Remainder Theorem 被引量:3
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作者 施荣华 粟倩 +1 位作者 郭迎 李门浩 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第4期573-578,共6页
A novel quantum secret sharing (QSS) scheme is proposed on the basis of Chinese Remainder Theorem (CRT). In the scheme, the classical messages are mapped to secret sequences according to CRT equations, and distrib... A novel quantum secret sharing (QSS) scheme is proposed on the basis of Chinese Remainder Theorem (CRT). In the scheme, the classical messages are mapped to secret sequences according to CRT equations, and distributed to different receivers by different dimensional superdense-coding respectively. CRT's secret sharing function, together with high-dimensional superdense-eoding, provide convenience, security, and large capability quantum channel for secret distribution and recovering. Analysis shows the security of the scheme. 展开更多
关键词 quantum secret sharing Chinese Remainder theorem quantum superdense-coding
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Convolution Theorem of Fractional Fourier Transformation Derived by Representation Transformation in Quantum Mechancis 被引量:1
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作者 FAN Hong-Yi HAO Ren LU Hai-Liang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第9期611-614,共4页
Based on our previous paper (Commun.Theor.Phys.39 (2003) 417) we derive the convolution theoremof fractional Fourier transformation in the context of quantum mechanics,which seems a convenient and neat way.Generalizat... Based on our previous paper (Commun.Theor.Phys.39 (2003) 417) we derive the convolution theoremof fractional Fourier transformation in the context of quantum mechanics,which seems a convenient and neat way.Generalization of this method to the complex fractional Fourier transformation case is also possible. 展开更多
关键词 fractional Fourier transformation convolution theorem quantum mechanical representation transform
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Quantum mechanical version of the classical Liouville theorem
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作者 谢传梅 范洪义 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第3期201-204,共4页
In terms of the coherent state evolution in phase space,we present a quantum mechanical version of the classical Liouville theorem.The evolution of the coherent state from |z〉to|sz-rz*〉 corresponds to the motion ... In terms of the coherent state evolution in phase space,we present a quantum mechanical version of the classical Liouville theorem.The evolution of the coherent state from |z〉to|sz-rz*〉 corresponds to the motion from a point z(q,p) to another point sz-rz* with |s|2-|r|2=1.The evolution is governed by the so-called Fresnel operator U(s,r) that was recently proposed in quantum optics theory,which classically corresponds to the matrix optics law and the optical Fresnel transformation,and obeys group product rules.In other words,we can recapitulate the Liouville theorem in the context of quantum mechanics by virtue of coherent state evolution in phase space,which seems to be a combination of quantum statistics and quantum optics. 展开更多
关键词 Fresnel operator Liouville theorem quantum mechanical version
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Quantum optical ABCD theorem in two-mode case
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作者 范洪义 胡利云 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第5期1640-1644,共5页
By introducing the entangled Fresnel operator (EFO) this paper demonstrates that there exists ABCD theorem for two-mode entangled case in quantum optics. The canonical operator method as mapping of ray-transfer ABCD... By introducing the entangled Fresnel operator (EFO) this paper demonstrates that there exists ABCD theorem for two-mode entangled case in quantum optics. The canonical operator method as mapping of ray-transfer ABCD matrix is explicitly shown by EFO's normally ordered expansion through the coherent state representation and the technique of integration within an ordered product of operators. 展开更多
关键词 Fresnel operator quantum optical ABCD theorem
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Quantum Group Signature Scheme Based on Chinese Remainder Theorem
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作者 Xin Sun Ying Guo +3 位作者 Jinjing Shi Wei Zhang Qin Xiao Moon Ho Lee 《Journal of Software Engineering and Applications》 2013年第5期16-20,共5页
A novel quantum group signature scheme is proposed based on Chinese Remainder Theorem (CRT), in order to improve the security of quantum signature. The generation and verification of the signature can be successfully ... A novel quantum group signature scheme is proposed based on Chinese Remainder Theorem (CRT), in order to improve the security of quantum signature. The generation and verification of the signature can be successfully conducted only if all the participants cooperate with each other and with the message owner's and the arbitrator's help. The quantum parallel algorithm is applied to efficiently compare the restored quantum message to the original quantum message. All the operations in signing and verifying phase can be executed in quantum circuits. It has a wide application to E-payment system, Online contract, Online notarization and etc. 展开更多
关键词 quantum SIGNATURE GROUP SIGNATURE Chinese REMAINDER theorem
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The Harmonic Potential Theorem for a Quantum System with Time-Dependent Effective Mass
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作者 赖梦云 肖端亮 潘孝胤 《Chinese Physics Letters》 SCIE CAS CSCD 2015年第11期1-4,共4页
We investigate the many-body wave function of a quantum system with time-dependent effective mass, confined by a harmonic potential with time-dependent frequency, and perturbed by a time-dependent spatially homogeneou... We investigate the many-body wave function of a quantum system with time-dependent effective mass, confined by a harmonic potential with time-dependent frequency, and perturbed by a time-dependent spatially homogeneous electric field. It is found that the wave function is comprised of a phase factor times the solution to the unperturbed time-dependent Schr6dinger equation with the latter being translated by a time-dependent value that satisfies the classical driven equation of motion. The wave function reduces to that of the harmonic potential theorem wave function when both the effective mass and frequency are static. An example of application is also given. 展开更多
关键词 The Harmonic Potential theorem for a quantum System with Time-Dependent Effective Mass
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Electrostatic Attraction and Repulsion Explained and Modelled Mathematically Using Classical Physics—A Detailed Mechanism Based on Particle Wave Functions
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作者 Declan Traill 《Journal of Applied Mathematics and Physics》 2024年第4期1050-1062,共13页
The phenomenon of electrical attraction and repulsion between charged particles is well known, and described mathematically by Coulomb’s Law, yet until now there has been no explanation for why this occurs. There has... The phenomenon of electrical attraction and repulsion between charged particles is well known, and described mathematically by Coulomb’s Law, yet until now there has been no explanation for why this occurs. There has been no mechanistic explanation that reveals what causes the charged particles to accelerate, either towards or away from each other. This paper gives a detailed explanation of the phenomena of electrical attraction and repulsion based on my previous work that determined the exact wave-function solutions for both the Electron and the Positron. It is revealed that the effects are caused by wave interactions between the wave functions that result in Electromagnetic reflections of parts of the particle’s wave functions, causing a change in their momenta. 展开更多
关键词 ELECTROSTATIC Electron POSITRON COULOMB Force ATTRACTION REPULSION Wave Function Electric Magnetic Radiation Pressure Shell theorem 3D Computer Model quantum
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Mathematical Wave Functions and 3D Finite Element Modelling of the Electron and Positron
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作者 Declan Traill 《Journal of Applied Mathematics and Physics》 2024年第4期1134-1162,共29页
The wave/particle duality of particles in Physics is well known. Particles have properties that uniquely characterize them from one another, such as mass, charge and spin. Charged particles have associated Electric an... The wave/particle duality of particles in Physics is well known. Particles have properties that uniquely characterize them from one another, such as mass, charge and spin. Charged particles have associated Electric and Magnetic fields. Also, every moving particle has a De Broglie wavelength determined by its mass and velocity. This paper shows that all of these properties of a particle can be derived from a single wave function equation for that particle. Wave functions for the Electron and the Positron are presented and principles are provided that can be used to calculate the wave functions of all the fundamental particles in Physics. Fundamental particles such as electrons and positrons are considered to be point particles in the Standard Model of Physics and are not considered to have a structure. This paper demonstrates that they do indeed have structure and that this structure extends into the space around the particle’s center (in fact, they have infinite extent), but with rapidly diminishing energy density with the distance from that center. The particles are formed from Electromagnetic standing waves, which are stable solutions to the Schrödinger and Classical wave equations. This stable structure therefore accounts for both the wave and particle nature of these particles. In fact, all of their properties such as mass, spin and electric charge, can be accounted for from this structure. These particle properties appear to originate from a single point at the center of the wave function structure, in the same sort of way that the Shell theorem of gravity causes the gravity of a body to appear to all originate from a central point. This paper represents the first two fully characterized fundamental particles, with a complete description of their structure and properties, built up from the underlying Electromagnetic waves that comprise these and all fundamental particles. 展开更多
关键词 ELECTRON POSITRON Wave Function Solution Electromagnetic Spin Mass Charge Proof Fundamental Particle Properties quantum Mechanics Classical Physics Computer 3D Model Schrödinger Equation RMS KLEIN GORDON Electric Magnetic Lorentz Invariant Hertzian Vector Point Potential Field Density Phase Flow Attraction REPULSION Shell theorem Ehrenfest VIRIAL Normalization Harmonic Oscillator
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从诺特定理引入对易关系的新教学法
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作者 王锋 王巍 丰秀蓉 《大学物理》 2024年第1期10-12,共3页
量子力学中算符对易关系对于学生理解量子力学具有至关重要的意义,也与海森伯测不准原理直接相关.在本科阶段的课程中,算符对易关系公式通常是理论上直接给出的,或者其导出过程依赖于选定的具体表象下算符的具体表示形式,算符对易关系... 量子力学中算符对易关系对于学生理解量子力学具有至关重要的意义,也与海森伯测不准原理直接相关.在本科阶段的课程中,算符对易关系公式通常是理论上直接给出的,或者其导出过程依赖于选定的具体表象下算符的具体表示形式,算符对易关系公式的引入过程没有与经典物理产生有机的联系,缺乏普遍性容易被学生误解.基于经典和量子物理都普遍成立的诺特定理物理体系守恒量与对称性相对应的想法,本文旨在引入一个更具启发性的算符对易关系导出教学方法,为学生提供一个简单而自然的理解思路. 展开更多
关键词 量子力学 对易关系 诺特定理
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Ergodic Hypothesis and Equilibrium Statistical Mechanics in the Quantum Mechanical World View 被引量:4
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作者 Shiro Ishikawa 《World Journal of Mechanics》 2012年第2期125-130,共6页
In this paper, we study and answer the following fundamental problems concerning classical equilibrium statistical mechanics: 1): Is the principle of equal a priori probabilities indispensable for equilibrium statisti... In this paper, we study and answer the following fundamental problems concerning classical equilibrium statistical mechanics: 1): Is the principle of equal a priori probabilities indispensable for equilibrium statistical mechanics? 2): Is the ergodic hypothesis related to equilibrium statistical mechanics? Note that these problems are not yet answered, since there are several opinions for the formulation of equilibrium statistical mechanics. In order to answer the above questions, we first introduce measurement theory (i.e., the theory of quantum mechanical world view), which is characterized as the linguistic turn of quantum mechanics. And we propose the measurement theoretical foundation of equili-brium statistical mechanics, and further, answer the above 1) and 2), that is, 1) is “No”, but, 2) is “Yes”. 展开更多
关键词 The Copenhagen Interpretation Probability OPERATOR ALGEBRA ERGODIC theorem quantum and CLASSICAL Measurement Theory Liouville’s theorem The Law of INCREASING Entropy
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A Rindler-KAM Spacetime Geometry and Scaling the Planck Scale Solves Quantum Relativity and Explains Dark Energy 被引量:3
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作者 Mohamed S. El Naschie 《International Journal of Astronomy and Astrophysics》 2013年第4期483-493,共11页
We introduce an ultra high energy combined KAM-Rindler fractal spacetime quantum manifold, which increasingly resembles Einstein’s smooth relativity spacetime, with decreasing energy. That way we derive an effective ... We introduce an ultra high energy combined KAM-Rindler fractal spacetime quantum manifold, which increasingly resembles Einstein’s smooth relativity spacetime, with decreasing energy. That way we derive an effective quantum gravity energy-mass relation and compute a dark energy density in complete agreement with all cosmological measurements, specifically WMAP and type 1a supernova. In particular we find that ordinary measurable energy density is given by E1= mc2 /22 while the dark energy density of the vacuum is given by E2 = mc2 (21/22). The sum of both energies is equal to Einstein’s energy E = mc2. We conclude that E= mc2 makes no distinction between ordinary energy and dark energy. More generally we conclude that the geometry and topology of quantum entanglement create our classical spacetime and glue it together and conversely quantum entanglement is the logical consequence of KAM theorem and zero measure topology of quantum spacetime. Furthermore we show via our version of a Rindler hyperbolic spacetime that Hawking negative vacuum energy, Unruh temperature and dark energy are different sides of the same medal. 展开更多
关键词 quantum RELATIVITY KAM theorem Dark ENERGY Hawking Negative ENERGY Vacuum Fluctuation Unruh Temperature Rindler SPACETIME Einstein-Rosen Bridges Action at Distance Susslin Operation
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Resonant tunneling and quantum fluctuation in a driven triple-well system
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作者 卢伟涛 王顺金 张华 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第2期35-42,共8页
The influence of parameters such as the strength and frequency of a periodic driving force on the tunneling dynamics is investigated in a symmetric triple-well potential. It is shown that for some special values of th... The influence of parameters such as the strength and frequency of a periodic driving force on the tunneling dynamics is investigated in a symmetric triple-well potential. It is shown that for some special values of the parameters, tunneling could be enhanced considerably or suppressed completely. Quantum fluctuation during the tunneling is discussed as well and the numerical results are presented and analysed by virtue of Floquet formalism. 展开更多
关键词 triple-well potential non-resonant tunneling resonant tunneling Floquet theorem quantum fluctuation
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Averaging in SU(2) open quantum random walk
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作者 Clement Ampadu 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第3期109-111,共3页
We study the average position and the symmetry of the distribution in the SU(2) open quantum random walk (OQRW). We show that the average position in the central limit theorem (CLT) is non-uniform compared with ... We study the average position and the symmetry of the distribution in the SU(2) open quantum random walk (OQRW). We show that the average position in the central limit theorem (CLT) is non-uniform compared with the average position in the non-CLT. The symmetry of distribution is shown to be even in the CLT. 展开更多
关键词 open quantum random walk central limit theorem average position SU(2) operator
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PROBABILISTIC CLONE-RESEND ATTACK STRATEGY IN QUANTUM KEY DISTRIBUTION
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作者 ZhaoShengmei LiFei ZhengBaoyu 《Journal of Electronics(China)》 2005年第1期85-89,共5页
A kind of attack strategy based on a probabilistic cloning machine is proposed in this letter. The security of BB84 and the six-state quantum key distribution protocols under this attack is studied by theoretic analys... A kind of attack strategy based on a probabilistic cloning machine is proposed in this letter. The security of BB84 and the six-state quantum key distribution protocols under this attack is studied by theoretic analyses and corroborated by simulations. It is concluded that the quantum key distribution protocols still have an asymptotic perfect security even if the eavesdropper adopts the proposed attack strategy. 展开更多
关键词 Attack strategy quantum Key Distribution(QKD) Probabilistic cloning machine no-cloning theorem
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Simplified Protocol of Quantum Teleportation
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作者 Mario Mastriani 《Journal of Quantum Information Science》 2018年第3期107-120,共14页
A simplified version of the quantum teleportation protocol is presented in here. Its experimental confirmation will have deep implications for a better understanding of Quantum Entanglement with a particular projectio... A simplified version of the quantum teleportation protocol is presented in here. Its experimental confirmation will have deep implications for a better understanding of Quantum Entanglement with a particular projection on Quantum Communications. 展开更多
关键词 BELL States BSM EPR PAIRS LOCC no-cloning theorem quantum Communications quantum Entanglement quantum TELEPORTATION
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An Effective Formulation on Quantum Hadrodynamics at Finite Temperatures and Densities
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作者 SUN Bao-Xi Lü Xiao-Fu +3 位作者 LI Lei NING Ping-Zhi SHEN Peng-Nian ZHAO En-Guang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第3期527-534,共8页
According to Wick's theorem, the second order self-energy corrections of hadrons in the hot and dense nuclear matter are calculated. Furthermore, the Feynman rules are summarized, and an effective formulation on quan... According to Wick's theorem, the second order self-energy corrections of hadrons in the hot and dense nuclear matter are calculated. Furthermore, the Feynman rules are summarized, and an effective formulation on quantum hadrodynamics at finite temperatures and densities is evauated. As the strong couplings between nucleons are considered, the self-consistency of this method is discussed in the framework of relativistic mean-field approximation. Debye screening masses of the scalar and vector mesons in the hot and dense nuclear matter are calculated with this method in the relativistic mean-field approximation. The results are different from those of thermofield dynamics and Brown-Rho conjecture. Moreover, the effective masses of the photon and the nucleon in the hot and dense nuclear matter are discussed. 展开更多
关键词 quantum hadrodynamics Wick's theorem Debye screening masses
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On the Security of Quantum Key Distribution Ping-Pong Protocol
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作者 Masakazu Yoshida Takayuki Miyadera Hideki Imai 《Journal of Quantum Information Science》 2013年第1期16-19,共4页
Computational based cryptography might not guarantee long term security if computational algorithms, computers, and so on are made remarkable progress. Therefore, quantum cryptography with unconditionally security att... Computational based cryptography might not guarantee long term security if computational algorithms, computers, and so on are made remarkable progress. Therefore, quantum cryptography with unconditionally security attracts attention. In this paper, we consider security of a two-way quantum key distribution protocol, so called Ping-Pong protocol. As a result, we introduce not only robustness but also a different information disturbance theorem, which denotes a trade-off relationship between information gain for an eavesdropper and error rate, from the related works for an attack model. 展开更多
关键词 Two-Way quantum KEY Distribution Ping-Pong Protocol ROBUSTNESS Information DISTURBANCE theorem
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The Hydrogen Atom Fractal Spectra, the Missing Dark Energy of the Cosmos and Their Hardy Quantum Entanglement
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作者 Mohamed S. El Naschie 《International Journal of Modern Nonlinear Theory and Application》 2013年第3期167-169,共3页
In this letter, I outline the intimate connection between the fractal spectra of the exact solution of the hydrogen atom and the issue of the missing dark energy of the cosmos. A proposal for a dark energy reactor har... In this letter, I outline the intimate connection between the fractal spectra of the exact solution of the hydrogen atom and the issue of the missing dark energy of the cosmos. A proposal for a dark energy reactor harnessing the dark energy of the Schrodinger wave via a quantum wave nondemolition measurement is also presented. 展开更多
关键词 FRACTAL SPECTRA Dark Energy Golden Mean KAM theorem quantum Entanglement Special Relativity
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