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APS » Journals » Phys. Rev. Lett. » Volume 98 » Issue 19
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Phys. Rev. Lett. 98, 190403 (2007) [4 pages]

How Continuous Quantum Measurements in Finite Dimensions Are Actually Discrete

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Giulio Chiribella* and Giacomo Mauro D’Ariano†
QUIT Group, Dipartimento di Fisica “A. Volta” and INFM, via Bassi 6, 27100 Pavia, Italy

Dirk Schlingemann§
Institut für Mathematische Physik, Technische Universität Braunschweig, Mendelssohnstraße 3, 38106 Braunschweig, Germany

Received 7 February 2007; published 11 May 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.190403
DOI:
10.1103/PhysRevLett.98.190403
PACS:
03.65.Ta, 03.65.Wj, 03.67.−a

*Electronic address: chiribella@fisicavolta.unipv.it

†Electronic address: dariano@unipv.it

‡Electronic address: http://www.qubit.it

§Electronic address: d.schlingemann@tu-bs.de

 
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