ua nt - p h / 96 03 00 5 v 2 1 0 Ju n 19 96 Poisson spaces with a transition probability

ar X iv : q ua nt - p h / 96 03 00 5 v 1 5 M ar 1 99 6 Poisson spaces with a transition probability

The common structure of the space of pure states P of a classical and a quantum mechanical system is that of a Poisson space with a transition probability. This is a uniform space equipped with a Poisson structure, as well as with a function p : P × P → [0, 1], with certain properties. The Poisson structure is connected with the transition probabilities through unitarity: each point ρ ∈ P defin...

ua nt - p h / 96 06 03 5 v 1 2 9 Ju n 19 96 The Canonical Form of the Rabi Hamiltonian

The Rabi Hamiltonian, describing the coupling of a two-level system to a single quantized boson mode, is studied in the Bargmann-Fock representation. The corresponding system of differential equations is transformed into a canonical form in which all regular singu-larities between zero and infinity have been removed. The canonical or Birkhoff-transformed equations give rise to a two-dimensional...

ua nt - p h / 03 06 19 6 v 1 2 9 Ju n 20 03 On Shor ’ s channel extension and constrained channels

ua nt - p h / 96 01 02 3 v 1 2 4 Ja n 19 96 CORRELATED LIGHT AND SCHRÖDINGER CATS

The Schrödinger cat male and female states are discussed. The Wigner and Q–functions of generalized correlated light are given. Linear transformator of photon statistics is reviewed.

ua nt - p h / 96 02 00 9 v 1 1 2 Fe b 19 96 PROTECTIVE MEASUREMENTS OF TWO - STATE VECTORS

A recent result about measurability of a quantum state of a single quantum system is generalized to the case of a single pre-and post-selected quantum system, described by a two-state vector. The protection required for such measurement is achieved by coupling the quantum system to a pre-and post-selected protected device yielding a nonhermitian effective Hamiltonian.