R.F. Werner: "The classical limit of quantum theory", Report quant-ph/9504016 Home/Search Document Details and Download
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Optimal Cloning of Pure States - Werner (1998) (7 citations) Self-citation (Werner) (Correct)
....Cloning of Pure States R.F. Werner 1;2 Abstract. We construct the unique optimal quantum device for turning a finite number of d level quantum systems in the same unknown pure state oe into M systems of the same kind, in an approximation of the M fold tensor product of the state oe. 1 Inst. f. Mathematische Physik, TU ....
....a finite number of d level quantum systems in the same unknown pure state oe into M systems of the same kind, in an approximation of the M fold tensor product of the state oe. 1 Inst. f. Mathematische Physik, TU Braunschweig, Mendelssohnstr.3, 38106 Braunschweig, Germany 2 Electronic mail: R. Werner tu bs.de 1. Introduction One of the fundamental features distinguishing quantum theory from classical theories is epitomized by the No Cloning Theorem [WZ] The quantum copiers forbidden by this theorem, in much the same way as perpetual motion machines are forbidden by the Second Law ....
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R.F. Werner: "The classical limit of quantum theory", Report quant-ph/9504016
Classical Mechanics as Quantum Mechanics with Infinitesimal h - Werner, Wolff (1995) Self-citation (Werner) (Correct)
....into the commutativity of classical observables. The same is true of approaches based on Feynman integrals [AHK] and on the limits of coherent states [Hep, Hag] An approach to the classical limit emphasizing the limit of observables and their algebraic structure has recently been developed in [We2] (compare also [Rie, Em1] This approach makes rigorous the intuitive criterion for deciding which observables in quantum theory may effectively be treated classically: classical observables should not change too much under small position or momentum translations, where, due to the relation p = ....
....we only need to restrict the theory to observables which are continuous on the standard scale, and then to neglect infinitesimal terms. This formulation corresponds completely to the physical intuition. Moreover it is much more compact than the formulation in conventional mathematical terms [We2] on which it is based. At the same time it retains full mathematical rigour. Due to its extreme simplicity the nonstandard formulation is also more suggestive of further generalizations. Another bonus is that some proofs are simplified, but this is not our main point, and, in fact, we draw heavily ....
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R.F. Werner:"The classical limit of quantum theory", Preprint, Osnabr uck 1994
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