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Generalized coherent states and extremal positive operator valued measures




TekijätHeinosaari T, Pellonpaa JP

KustantajaIOP PUBLISHING LTD

Julkaisuvuosi2012

JournalJournal of Physics A: Mathematical and Theoretical

Tietokannassa oleva lehden nimiJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Lehden akronyymiJ PHYS A-MATH THEOR

Artikkelin numeroARTN 244019

Numero sarjassa24

Vuosikerta45

Numero24

Sivujen määrä12

ISSN1751-8113

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

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/3147664


Tiivistelmä
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.

Ladattava julkaisu

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