Comment on 'Monogamy of multi-qubit entanglement using Rényi entropy'. (30th January 2018)

• Record Type: Journal Article
• Authors: Yu, Long-Bao; Zhang, Li-Hua; Zhao, Jun-Long; Tang, Yong-Sheng
• Is Part Of: Journal of physics. Volume 51:Number 8(2018)
• Publication Date: 2018-01-30
• Subjects: monogamy -- entanglement -- Rényi entropy; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa9d04
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: 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.