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Abstract
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Entanglement witnesses are of special interest for distinguishing between separable and
entangled states. For three-qubit states, a family of optimal entanglement witnesses has been
introduced by Jafarizadeh et al. [Eur. Phys. J. D 50 (2008) 107]. We give an alternative
demonstration for some elements of this family and show that they are able to detect bound
entangled states. To illustrate this fact, we consider two families of bound entangled three-qubit
states, introduced by Kay [Phys. Rev. A 83 (2011) 020303] and Kye [J. Phys. A, Math. Theor.
48 (2015) 235303], and show that these witnesses detect the entanglement of all states of these
two families.
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