Operational axioms for C*-algebra representation of transformations

Details Operational axioms for C*-algebra representation of transformations Operational axioms for C*-algebra representation of transformations

2007-10-07

arxiv.org/abs/0710.1448v1

Physics

Quantum Physics

Work presented at the conference {\em Quantum Theory: Reconsideration of Foundations, 4} held on 11-16 June 2007 at the Intern

Scientific paper

It is shown how a C*-algebra representation of the transformations of a physical system can be derived from two operational postulates: 1) the existence of dynamically independent systems}; 2) the existence of symmetric faithful states. Both notions are crucial for the possibility of performing experiments on the system, in preventing remote instantaneous influences and in allowing calibration of apparatuses. The case of Quantum Mechanics is thoroughly analyzed. The possibility that other no-signaling theories admit a C*-algebra formulation is discussed.

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