A1 Refereed original research article in a scientific journal

Generalized coherent states and extremal positive operator valued measures



Authors: Heinosaari T, Pellonpaa JP

Publisher: IOP PUBLISHING LTD

Publication year: 2012

Journal: Journal of Physics A: Mathematical and Theoretical

Journal name in source: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Journal acronym: J PHYS A-MATH THEOR

Article number: ARTN 244019

Number in series: 24

Volume: 45

Issue: 24

Number of pages: 12

ISSN: 1751-8113

DOI: https://doi.org/10.1088/1751-8113/45/24/244019

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/3147664


Abstract
We present a correspondence between positive operator valued measures (POVMs) and sets of generalized coherent states. POVMs describe quantum observables and, similar to quantum states, quantum observables can also be mixed. We show how the formalism of generalized coherent states leads to a useful characterization of extremal POVMs. We prove that covariant phase-space observables related to squeezed states are extremal, while those related to number states are not extremal.

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