Quantum fisher information of a 3 x 3 bound entangled state and its relation with geometric discord

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Tarih

2015-09

Dergi Başlığı

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Cilt Başlığı

Yayıncı

Springer/Plenum Publishers

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

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Özet

Recent studies on quantum Fisher information (QFI) have been focused mostly on qubit systems within the context of how entanglement helps surpassing the classical limit of separable states and the limit that a given entangled system can achieve for parameter estimation. However, there are only a few works on bound entangled systems. In this work, we study the QFI of a system of the smallest dimension that bound entanglement can be observed: A bipartite quantum system of two particles of three-levels each. An interesting property of this state is that depending only on a parameter, the state can be separable, bound entangled or free entangled. We show that QFI exhibits a smooth and continues increase with respect to this parameter throughout the transition from separable to bound entangled and from bound entangled to free entangled regions. We show that in any region, this state is not useful for sub-shot noise interferometry. We also relate the QFI of this state with its geometric discord and show how these two properties exhibit a similar behavior throughout this transition.

Açıklama

Anahtar Kelimeler

Bound entanglement, Quantum Fisher information, Quantum discord, Arbitrary ranks, Channels, Distillation, Limit

Kaynak

International Journal of Theoretical Physics

WoS Q Değeri

Q3

Scopus Q Değeri

Q3

Cilt

54

Sayı

9

Künye

Özaydın, F. (2015). Quantum fisher information of a 3 x 3 bound entangled state and its relation with geometric discord. International Journal of Theoretical Physics, 54(9), 3304-3310. doi:10.1007/s10773-015-2570-x