A W state is pair-wisely entangled, belonging to the different class from Greenberger, Horne, and Zeilinger (GHZ) state. We show that the W state enables three variant protocols, that is, quantum key distribution between several parts, quantum secret sharing, and both of them at the same time. It is discussed how one's cheating can be detected in each protocol.
@article{arxiv.quant-ph/0204003,
title = {Quantum Secure Communication with W States},
author = {Jaewoo Joo and Jinhyoung Lee and Jingak Jang and Young-Jai Park},
journal= {arXiv preprint arXiv:quant-ph/0204003},
year = {2007}
}