POSITIVE-OPERATOR VALUED MEASURE (POVM) QUANTIZATION

Positive-Operator Valued Measure (POVM) Quantization

Positive-Operator Valued Measure (POVM) Quantization

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We present a general formalism for giving a measure space paired with a separable Hilbert space a quantum version based on a normalized positive operator-valued measure.The latter are Course a pied - Homme - Vetements - Manteau - Impermeable built from families of density operators labeled by points of the measure space.We especially focus on various probabilistic aspects of these constructions.Simple ormore elaborate examples illustrate the procedure: circle, two-sphere, plane and half-plane.

Links with Positive-Operator Valued Measure (POVM) quantum measurement Reclining Sofa with Power and quantum statistical inference are sketched.

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