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Phys. Rev. A 80, 040101(R) (2009) [4 pages]

Canonical phase measurement is pure

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Teiko Heinosaari*
Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen, Denmark

Juha-Pekka Pellonpää†
Turku Center for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turku, Finland

Received 29 May 2009; revised 9 June 2009; published 8 October 2009

We show that the canonical phase measurement is pure in the sense that the corresponding positive operator valued measure (POVM) is extremal in the convex set of all POVMs. This means that the canonical phase measurement cannot be interpreted as a noisy measurement even if it is not a projection valued measure.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.040101
DOI:
10.1103/PhysRevA.80.040101
PACS:
03.65.Ta, 03.67.−a, 42.50.−p

*heinosaari@nbi.dk

†juhpello@utu.fi

 
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