ua nt - p h / 98 06 02 7 v 1 8 J un 1 99 8 New approach to ε - entropy and Its comparison with Kolmogorov ’ s ε - entropy

ua nt - p h / 98 08 02 3 v 1 1 4 A ug 1 99 8 Probability and Entropy in Quantum Theory ∗

Entropic arguments are shown to play a central role in the foundations of quantum theory. We prove that probabilities are given by the modulus squared of wave functions, and that the time evolution of states is linear and also unitary.

ua nt - p h / 98 01 03 7 v 2 6 J un 1 99 8 Experimental realization of a quantum al - gorithm

X iv :q ua nt -p h/ 98 01 03 7v 2 6 J un 1 99 8 Experimental realization of a quantum algorithm Isaac L. Chuang, Lieven M.K. Vandersypen, Xinlan Zhou, Debbie W. Leung, and Seth Lloyd 4 1 IBM Almaden Research Center K10/D1, San Jose, CA 95120, 2 Solid State Electronics Laboratory, Stanford University, Stanford, CA 94305 3 Edward L. Ginzton Laboratory, Stanford University, Stanford, CA 94305 4 MI...

New approach to ε - entropy and Its compa rison with Kolmogorov ’ s ε - entropy

Kolmogorov introduced a concept of ε-entropy to analyze information in classical continuous system. The fractal dimension of geometrical sets was introduced by Mandelbrot as a new criterion to analyze the complexity of these sets. The ε-entropy and the fractal dimension of a state in general quantum system were introduced by one of the present authors in order to characterize chaotic properties...

ar X iv : h ep - p h / 99 06 27 2 v 1 7 J un 1 99 9 DISSIPATIVE CONTRIBUTIONS TO ε ′

The time evolution and decay of the neutral kaon system can be described using quantum dynamical semigroups. Non-standard terms appear in the expression of relevant observables; they can be parametrized in terms of six, new phenomenological constants. We discuss how the presence of these constants affects the determination of the parameter ε ′ /ε.

ua nt - p h / 98 07 06 3 v 1 2 2 Ju l 1 99 8 Twin - photon techniques for fiber measurements