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Entangled Quantum States and the Kronecker Product Willi-Hans Steeb and Yorick Hardy International School for Scientific Computing, Rand Afrikaans University, P.O. Box 524, Auckland Park 2006, South Africa Reprint requests to Prof. W.-H. S.; E-mail: whs@na.rau.ac.za Z. Naturforsch. 57 a, 689–691 (2002); received March 25, 2002 Entangled quantum states are an important component of quantum computing techniques such as quantum error-correction, dense coding and quantum teleportation. We determine the requirements for a state in the Hilbert space C C for N to be

quantum chromodynamics. In view of the fact that the techniques of field theory developed within the book are likewise applicable to many particle systems in quantum statistics, the set of potential readers essentially surmounts the group of particle physicists, and covers e. g. the solid state physicists. The book is recommended to students and others for the first study of the subject, and by pedagogical reasons to the teaching staff of universities. H.-J. Unger, Berlin George H. Duffey: Quantum States & Processes. Prentice Hall Publishers, Englewood Cliffs, 1992

Abstract

A common assumption in quantum field theory is that the energy-momentum 4-vector of any quantum state must be time-like. It will be proven that this is not the case for a Dirac-Maxwell field. In this case quantum states can be shown to exist whose energy-momentum is space-like.

198 J. G. GILSON The Thermal Content of Quantum States J. G. Gilson Department of Mathematics, Queen Mary College, London (Z. Naturforsch. 24 a, 198— 200 [1969]; received 13 September 1968) It is shown that the exact structure of Schrödinger Quantum Mechanics is a consequence of the assumption that there exist two subquantum fluids in local thermal equilibrium. Introduction There is a long history of attempts to establish that Schrödinger quantum mechanics is explicable in terms of the familiar classical concepts and formal­ isms such as particle trajectories

1963. 4 For further references to this subject we refer to a recent monograph: A. Hobson, Concepts in Statistical Mechanics, Gordon and Breach, New York 1971. 5 J. v. Neumann, Mathematische Grundlagen der Quanten­ mechanik, Springer-Verlag, Berlin 1932. 6 G. Ludwig, Die Grundlagen der Quantenmechanik, Sprin­ ger-Verlag, Berlin 1954. 7 J. Langerholc, J. Math. Phys. 6,1210 [1965]. 8 For simplicity we denote q.m. observables and quantum states by the same symbol as the respective representing s. a. operators and state operators. 9 U. Fano, Rev. Mod. Phys. 29, 74

Lassen sich Quantenzustände als Ensembles streufreier Zustände darstellen? I* W . OCHS Sekt ion P h y s i k der Univers i tä t M ü n c h e n (Z. Naturforsdi. 25 a, 1546—1555 [1970] ; eingegangen am 19. August 1970) Can quantum-states be considered as ensembles of dispersionfree states? I W e cons ider the p r o b l e m , w h e t h e r q u a n t u m - s t a t e s can b e represented b y Gibbs ian ensembles o f dispersionfree microstates h a v i n g well de f ined va lues f o r all observables . Such a statistical representat ion is s h o w n t o b e poss ib

204 W. OCHS Lassen sich Quantenzustände als Ensembles streufreier Zustände darstellen? II W. Ochs Sektion Physik der Universität München (Z. Naturforsch. 26 a, 204—214 [1971] ; eingegangen am 22. Oktober 1970) Can quantum-states be considered as ensembles of dispersionfree states? I I In part I of this paper we constructed a model representing quantum states by ensembles of dispersionsfree states. In part I I we study further properties of this model and analyse their logical relations. I t is also shown that the main results do not depend on the

Abstract

In this work we study the effect of decoherence on elastic and polaronic transport via discrete quantum states. Calculations are performed with the help of a nonperturbative computational scheme, based on Green’s function theory within the framework of polaron transformation (GFT-PT), where the many-body electron-phonon interaction problem is mapped exactly into a single-electron multi-channel scattering problem. In particular, the influence of dephasing and relaxation processes on the shape of the electrical current and shot noise curves is discussed in detail under linear and nonlinear transport conditions.

. (2004). Negativity of the Wigner function as an indicator of non-classicality, Journal of Optics B Quantum and Semiclassical Optics 6 (10): 396–404, DOI: 10.1088/1464-4266/6/10/003. Khademi, S., Sadeghi, P. and Nasiri, S. (2016). Reply to Comment on Nonclassicality indicator for the real phase-space distribution functions, Physical Review A 93 (3): 036102-1–036102-2, DOI: 10.1103/PhysRevA.93.036102. Kołaczek, D., Spisak, B.J. and Wołoszyn, M. (2018). Phase-space approach to time evolution of quantum states in confined systems. The spectral split-operator method, in

We examine the conditions which a given information of the form “Tr(W Ar) = mr;r = 1,...,h” must satisfy in order to determine a unique quantum state with maximum information entropy. Special consideration is given to the case of commuting Ar which is most important for statistical thermodynamics.