Quantum Measurement Problem and Systems Selfdescription in Operators Algebras Formalism

Details Quantum Measurement Problem and Systems Selfdescription in Operators Algebras Formalism Quantum Measurement Problem and Systems Selfdescription in Operators Algebras Formalism

2002-12-17

arxiv.org/abs/quant-ph/0212099v1

Physics

Quantum Physics

12 pages, Latex; Talk given on 'Quantum Information and Computations' workshop, Trieste, October 2002

Scientific paper

Quantum Measurement problem studied in Information Theory approach of systems selfdescription which exploits the information acquisition incompleteness for the arbitrary information system. The studied model of measuring system (MS) consist of measured state S environment E and observer $O$ processing input S signal. $O$ considered as the quantum object which interaction with S,E obeys to Schrodinger equation (SE). MS incomplete or restricted states for $O$ derived by the algebraic QM formalism which exploits Segal and $C^*$-algebras. From Segal theorem for systems subalgebras it's shown that such restricted states $V^O=|O_j> < O_j|$ describes the classical 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.

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