Quantum measurements, Information, and Dual States Representations
Abstract
Description
The quantum measurement problem considered for the model of measuring system (MS) consist of measured state S (particle), detector D and information processing device (observer) $O$ interacting with S,D.
For 'external' observer $O'$ MS evolution obeys to Schrodinger equation (SE) and $O$ (self)description of MS reconstructed from it in Breuer ansatz. MS irreversible evolution (state collapse) for $O$ can be obtained if the true quantum states manifold has the dual structure $L_T=\cal {H} \bigotimes L_V$ where $\cal H$ is Hilbert space and $\cal L_V$ is the set with elements $V^O=|O_j> < O_j|$ describing random 'pointer' outcomes $O_j$ observed by $O$ in the individual events. Possible experimental tests of this dual states structure described. The results interpretation in Quantum Information framework and Relational Quantum Mechanics discussed.
15 pages, Latex, Brief version published in : 'Proc. of 4th Quantum Communications,Computers and Measurements Conference', (Kluwer, Amsterdam, 2001)
15 pages, Latex, Brief version published in : 'Proc. of 4th Quantum Communications,Computers and Measurements Conference', (Kluwer, Amsterdam, 2001)