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Realization of continuous-outcome measurements on finite dimensional quantum systems

G. Chiribella·G. M. D'Ariano·D. M. Schlingemann
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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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G. Chiribella, G. M. D'Ariano, D. M. Schlingemann. 2007-03-13. Realization of continuous-outcome measurements on finite dimensional quantum systems. https://arxiv.org/abs/quant-ph/0703110

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