Generalized coherent states and extremal positive operator valued measures



: Heinosaari T, Pellonpaa JP

Publisher: IOP PUBLISHING LTD

: 2012

: Journal of Physics A: Mathematical and Theoretical

: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

: J PHYS A-MATH THEOR

: ARTN 244019

: 24

: 45

: 24

: 12

: 1751-8113

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

: https://research.utu.fi/converis/portal/detail/Publication/3147664


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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