Integration with Respect to Operator-Valued Measures with Applications to Quantum Estimation Theory (*)(**)
نویسنده
چکیده
This paper is concerned with the development of an integration theory with respect to operator-valued measures which is required in the study o/ certain convex optimization problems. These convex optimization problems in their turn are rigorous ]ormulations o] detection theory in a quantum communication context, which generalise classical (Bayesian) detection theory. The integration theory which is developed in this paper is used in conjunction with convex analysis in Banavh spaces to give necessary and su//ieient conditions o/ optimality /or this class o/ convex optimization problems.
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