http://www.cnr.it/ontology/cnr/individuo/prodotto/ID206447

Fisher information and multiparticle entanglement (Articolo in rivista)

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Fisher information and multiparticle entanglement (Articolo in rivista) (literal)

Anno

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Hyllus Philipp [ 1,2,3 ] ; Laskowski Wieslaw [ 4,5,6 ] ; Krischek Roland [ 5,6 ] ; Schwemmer Christian [ 5,6 ] ; Wieczorek Witlef [ 5,6 ] ; Weinfurter Harald [ 5,6 ] ; Pezze Luca [ 7,8 ] ; Smerzi Augusto [ 1,2,7,8 ] (2012)
Fisher information and multiparticle entanglement
in Physical review. A
(literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

Hyllus Philipp [ 1,2,3 ] ; Laskowski Wieslaw [ 4,5,6 ] ; Krischek Roland [ 5,6 ] ; Schwemmer Christian [ 5,6 ] ; Wieczorek Witlef [ 5,6 ] ; Weinfurter Harald [ 5,6 ] ; Pezze Luca [ 7,8 ] ; Smerzi Augusto [ 1,2,7,8 ] (literal)

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[ 1 ] INO CNR BEC Ctr, IT-38123 Povo, Italy [ 2 ] Univ Trent, Dipartimento Fis, IT-38123 Povo, Italy [ 3 ] Univ Basque Country, Dept Theoret Phys, ES-48080 Bilbao, Spain [ 4 ] Univ Gdansk, Inst Theoret Phys & Astrophys, PL-80952 Gdansk, Poland [ 5 ] Univ Munich, Fak Phys, DE-80799 Munich, Germany [ 6 ] Max Planck Inst Quantum Opt, DE-85748 Garching, Germany [ 7 ] INO CNR, IT-50125 Florence, Italy [ 8 ] LENS, IT-50125 Florence, Italy (literal)

Titolo

Abstract

The Fisher information F gives a limit to the ultimate precision achievable in a phase estimation protocol. It has been shown recently that the Fisher information for a linear two-mode interferometer cannot exceed the number of particles if the input state is separable. As a direct consequence, with such input states the shot-noise limit is the ultimate limit of precision. In this work, we go a step further by deducing bounds on F for several multiparticle entanglement classes. These bounds imply that genuine multiparticle entanglement is needed for reaching the highest sensitivities in quantum interferometry. We further compute similar bounds on the average Fisher information (F) over bar for collective spin operators, where the average is performed over all possible spin directions. We show that these criteria detect different sets of states and illustrate their strengths by considering several examples, also using experimental data. In particular, the criterion based on (F) over bar is able to detect certain bound entangled states. (literal)

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