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Physical Review A

Entanglement detection via quantum Fisher information

Nan Li, Shunlong Luo

Published Jul 8, 2013• 170 citations
Publisher

Abstract

We propose an entanglement criterion in terms of quantum Fisher information, which complements the criterion based on variance and local uncertainty relations [H. F. Hofmann and S. Takeuchi, Phys. Rev. A 68, 032103 (2003)]. We illustrate the significance of this criterion by showing that it can reveal entanglement undetectable by the variance method. The dual relation between the criterion based on quantum Fisher information and that based on variance are highlighted. The combination of these two criteria leads to a refined method for entanglement detection, which is stronger than when either one is used alone.

DOI
10.1103/physreva.88.014301

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We investigate kkk-nonseparability of nnn-partite quantum states which is an important kind of correlations characterizing multipartite entanglement. We derive some kkk-nonseparability criteria in the form of variance and quantum Fisher information, and illustrate their complementary features in the detection of kkk-nonseparability through several examples.
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