A sufficient Entanglement Criterion Based On Quantum Fisher Information and Variance

Abstract

We derive criterion in the form of inequality based on quantum Fisher information and quantum variance to detect multipartite entanglement. It can be regarded as complementary of the well-established PPT criterion in the sense that it can also detect bound entangled states. The inequality is motivated by Y.Akbari-Kourbolagh $etal.$[Phys. Rev A. 99, 012304 (2019)] which introduced a multipartite entanglement criterion based on quantum Fisher information. Our criterion is experimentally measurable for detecting any $N$-qudit pure state mixed with white noisy. We take several examples to illustrate that our criterion has good performance for detecting certain entangled states.

arXiv comment11 pages, 1 figure

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Cited by in corpus (5)

• Fundamental Limitation on the Detectability of Entanglement
• A note on uncertainty relations of metric-adjusted skew information
• Multipartite entanglement detection via generalized Wigner-Yanase skew information
• Uncertainty relations between quantum Fisher information and entanglement monotones
• Stronger sum uncertainty relations for non-Hermitian operators