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Analysis of entanglement measures and LOCC maximized quantum fisher information of general two qubit systems

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Date

2014-06-24

Author

Erol, Volkan
Özaydın, Fatih
Altıntaş, Azmi Ali

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Citation

Erol, V., Özaydın, F. & Altıntaş, A. A. (2014). Analysis of entanglement measures and LOCC maximized quantum fisher information of general two qubit systems. SCIENTIFIC REPORTS, 4, 1-4. doi:10.1038/srep05422

Abstract

Entanglement has been studied extensively for unveiling the mysteries of non-classical correlations between quantum systems. In the bipartite case, there are well known measures for quantifying entanglement such as concurrence, relative entropy of entanglement (REE) and negativity, which cannot be increased via local operations. It was found that for sets of non-maximally entangled states of two qubits, comparing these entanglement measures may lead to different entanglement orderings of the states. On the other hand, although it is not an entanglement measure and not monotonic under local operations, due to its ability of detecting multipartite entanglement, quantum Fisher information (QFI) has recently received an intense attraction generally with entanglement in the focus. In this work, we revisit the state ordering problem of general two qubit states. Generating a thousand random quantum states and performing an optimization based on local general rotations of each qubit, we calculate the maximal QFI for each state. We analyze the maximized QFI in comparison with concurrence, REE and negativity and obtain new state orderings. We show that there are pairs of states having equal maximized QFI but different values for concurrence, REE and negativity and vice versa.

Source

Scientific Reports

Volume

4

URI

https://hdl.handle.net/11729/528
http://dx.doi.org/10.1038/srep05422

Collections

  • FEF - Makale Koleksiyonu | Enformasyon Teknolojileri Bölümü / Department of Information Technologies [67]
  • PubMed İndeksli Yayın Koleksiyonu [55]
  • Scopus İndeksli Makale Koleksiyonu [785]
  • WoS İndeksli Makale Koleksiyonu [807]



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