Measures on projections and physical states
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It is shown that a finitely additive measure on the projections of a von Neumann algebra withoutI2 andII1 summands is the restriction of a state. A definition of a physical state is proposed, and it is shown that such a physical state on a simpleC*-algebra with unit is a state.
KeywordsNeural Network Physical State Complex System Nonlinear Dynamics Quantum Computing
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