How continuous quantum measurements in finite dimensions are actually discrete.

Giulio Chiribella, Giacomo Mauro D'Ariano, Dirk Schlingemann
Author Information
  1. Giulio Chiribella: QUIT Group, Dipartimento di Fisica A. Volta and INFM, via Bassi 6, 27100 Pavia, Italy. chiribella@fisicavolta.unipv.it

Abstract

We show that in finite dimensions a quantum measurement with a continuous set of outcomes can be always realized as a continuous random choice of measurements with a finite number of outcomes.