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

Long-Bao Yu, Li-Hua Zhang, Jun-Long Zhao, Yong-Sheng Tang
2018 Journal of Physics A: Mathematical and Theoretical  
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 Rényiα 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.
more » ... vercome this flaw. The alternative derivation shows that the main conclusions remain valid despite the invalidity of the proofs.
doi:10.1088/1751-8121/aa9d04 fatcat:fjl6sc5llnblfkfu7gqwgul4xa