Quantum Measurement Problem, Decoherence, and Quantum Systems Selfdescription

Abstract

Quantum Measurements regarded in Systems Selfdescription framework for measuring system (MS) consist of measured state S environment E and observer \(O\) processing input S signal. \(O\) regarded as quantum object which interaction with S,E obeys to Schrodinger equation (SE) and from it and Breuer selfdescription formalism S information for \(O\) reconstructed. In particular S state collapse obtained if \(O\) selfdescription state has the dual structure \(L_T=\cal H \bigotimes L_V\) where \(\cal H\) is Hilbert space of MS states \(\Psi_{MS}\). \(\cal L_V\) is the set with elements \(V^O=|O_j> < O_j|\) describing random 'pointer' outcomes \(O_j\) observed by \(O\) in the individual events. The 'preferred' basis \(|O_j>\) defined by \(O\) state decoherence via \(O\) - E interactions. Zurek's Existential Interpretation discussed in selfmeasurement framework.