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• W4382045128 abstract "In this chapter, we present a general theory of finite quantum measurements, for which we assume that the state spaceState space of the measured system is a finite dimensional Hilbert spaceHilbert space and that the possible outcomes of a measurementMeasurement are a finite set of real numbers. We develop the theory in a deductive manner from the basic postulates for quantum mechanics and a few plausible axioms for general quantum measurementsQuantum measurement. We derive an axiomatic characterization of all the physically realizable finite quantum measurementsQuantum measurement. Mathematical tools necessary to describe measurementMeasurement statistics such as POVMsPositive Operator Value Measure (POVM) and quantum instruments are not assumed at the outset, but we introduce them as natural consequences of our axioms. Our objective is to show that those mathematical tools can be naturally derived from obvious theoretical requirements." @default.
• W4382045128 created "2023-06-27" @default.
• W4382045128 creator A5012776160 @default.
• W4382045128 date "2023-01-01" @default.
• W4382045128 modified "2023-09-23" @default.
• W4382045128 title "Quantum Measurement Theory for Systems with Finite Dimensional State Spaces" @default.
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• W4382045128 doi "https://doi.org/10.1007/978-3-031-12986-5_9" @default.
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