ar X iv : q ua nt - p h / 04 10 19 4 v 1 2 5 O ct 2 00 4 Nonlocality of two - and three - mode continuous variable systems

ar X iv : q ua nt - p h / 04 10 19 4 v 2 2 7 Ju n 20 05 Nonlocality of two - and three - mode continuous variable systems

We address nonlocality of a class of fully inseparable three-mode Gaussian states generated either by bilinear three-mode Hamiltonians or by a sequence of bilinear two-mode Hamiltonians. Two different tests revealing strong nonlocality are considered, in which the dichotomic Bell operator is represented by displaced parity and by pseudospin operator respectively. Three-mode states are also cons...

ar X iv : q ua nt - p h / 04 11 17 2 v 1 2 3 N ov 2 00 4 Information and Entropy in Quantum Theory

ar X iv : q ua nt - p h / 05 10 22 4 v 1 28 O ct 2 00 5 ON QUANTUM LYAPUNOV EXPONENTS

It was shown that quantum analysis constitutes the proper analytic basis for quantization of Lyapunov exponents in the Heisenberg picture. Differences among various quantizations of Lyapunov exponents are clarified.

ar X iv : q ua nt - p h / 01 10 02 4 v 1 4 O ct 2 00 1 Real continuum

Some physical consequences of the negation of the continuum hypothesis are considered. It is shown that quantum and classical mechanics are component parts of the multicomponent description of the set of variable infinite cardinality. Existence and properties of the set follow directly from the independence of the continuum hypothesis. Particular emphasis is laid on set-theoretic aspect.

ar X iv : q ua nt - p h / 04 10 22 9 v 1 27 O ct 2 00 4 A de Finetti Representation for Finite Symmetric Quantum States ∗

Consider a symmetric quantum state on an n-fold product space, that is, the state is invariant under permutations of the n subsystems. We show that, conditioned on the outcomes of an informationally complete measurement applied to a number of subsystems, the state in the remaining subsystems is close to having product form. This immediately generalizes the so-called de Finetti representation to...