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Not all pure entangled states are useful for sub-shot-noise interferometry (Articolo in rivista)

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Not all pure entangled states are useful for sub-shot-noise interferometry (Articolo in rivista) (literal)

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Hyllus P., Guhne O., Smerzi A. (2010)
Not all pure entangled states are useful for sub-shot-noise interferometry
in Physical review. A
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BEC-CNR-INFM and Dipartimento di Fisica, Università di Trento, I-38050 Povo, Italy; Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Technikerstraße 21A, A-6020 Innsbruck, Austria 3Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria (literal)

Titolo

Not all pure entangled states are useful for sub-shot-noise interferometry (literal)

Abstract

We investigate the connection between the shot-noise limit in linear interferometers and particle entanglement. In particular, we ask whether sub-shot-noise sensitivity can be reached with all pure entangled input states of N particles if they can be optimized with local operations. Results on the optimal local transformations allow us to show that for N=2 all pure entangled states can be made useful for sub-shot-noise interferometry while for N>2 this is not the case. We completely classify the useful entangled states available in a bosonic two-mode interferometer. We apply our results to several states, in particular to multiparticle singlet states and to cluster states. The latter turn out to be practically useless for sub-shot-noise interferometry. Our results are based on the Cramer-Rao bound and the Fisher information. (literal)

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