Comment on 'Monogamy of multi-qubit entanglement using Rényi entropy'

In an article in 2010, Kim et al introduced the definition of Rényi-α entanglement for bipartite quantum states and established an analytic formula of Rényi-α entanglement for arbitrary two-qubit states with α⩾1. They also derived a monogamy of entanglement in multi-qubit systems in terms of Rényi-α...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2018-02, Vol.51 (8), p.88001
Main Authors: Yu, Long-Bao, Zhang, Li-Hua, Zhao, Jun-Long, Tang, Yong-Sheng
Format: Article
Language:English
Subjects:
entanglement
monogamy
Rényi entropy
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Summary:In an article in 2010, Kim et al introduced the definition of Rényi-α entanglement for bipartite quantum states and established an analytic formula of Rényi-α entanglement for arbitrary two-qubit states with α⩾1. They also derived a monogamy of entanglement in multi-qubit systems in terms of Rényi-α entanglement for α⩾2 Kim et al (2010 J. Phys. A: Math. Theor. 43 445305). We find the proofs of theorems 2 and 3 contain some errors and we also present an improved derivation to overcome this flaw. The alternative derivation shows that the main conclusions remain valid despite the invalidity of the proofs.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aa9d04