Realization of continuous-outcome measurements on finite dimensional quantum systems

2007/03/13 by Giulio Chiribella, Chiribella, G., Giacomo Mauro D’Ariano +3
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.quant-ph/0703110

openalex publication_date 2007/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note contains the complete mathematical proof of the main Theorem of the paper "How continuous measurements in finite dimension are actually discrete" (quant-ph/0702068), thus showing that in finite dimension any measurement with continuous set of outcomes can be simply realized by randomizing some classical parameter and conditionally performing a measurement with finite outcomes.

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