Eur. Phys. J. D (2013) 67: 222
https://doi.org/10.1140/epjd/e2013-40328-6

Comment

Comment on: Two-qutrit entanglement witnesses and Gell-Mann matrices

Faculty of Mathematics and Information Science Shaanxi Normal University, Xi’an 710062, P.R. China

^a e-mail: dwch6169@sina.com

Received: 29 May 2013
Published online: 1 November 2013

Abstract

Recently, Jafarizadeh et al. [Eur. Phys. J. D 47, 283 (2008)] has constructed several two-qutrit entanglement witnesses based on the Gell-Mann matrices by using the linear programming method, moreover they claimed that all W₂ given by equation (16) are entanglement witnesses. In this comment, we would like to point out that there exit some W₂ given by equation (16) are not entanglement witnesses in general.