Quantum evolution in the presence of additive conservation laws and the quantum theory of measurement

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Abstract
In this paper we derive in a completely rigorous way a family of inequalities holding for proper combinations of the squared norms of the states generated by the quantum evolution of a compound quantum system in the presence of additive conservation laws. The application of these inequalities to the quantum theory of measurement yields lower bounds for the malfunctioning of a measuring apparatus, which are valid under more general mathematical conditions and for a larger variety of physical situations than those considered up to now in the literature.