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KEYWORDS and PACS
Keywords
PACS
  • 03.65.Ta
    Foundations of quantum mechanics; measurement theory
  • 03.67.-a
    Quantum information
  • 42.50.-p
    Quantum optics
  • YEAR: 2009
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PUBLICATION DATA
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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
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
History: Received 29 May 2009; revised 9 June 2009; published 8 October 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e040101

REFERENCES (19)

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  1. G. Chiribella, G. M. D'Ariano, and D. Schlingemann, Phys. Rev. Lett. 98, 190403 (2007)
  2. A full mathematical justification of the theory of phase states and covariant phase measurements is given in J.-P. Pellonpää, J. Math. Phys. 43, 1299 (2002). For the theory of generalized vectors in the case of an arbitrary POVM and for the Dirac formalism, see 16.
  3. P. Lahti and J.-P. Pellonpää, J. Math. Phys. 41, 7352 (2000).
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