Three-party quantum secret sharing of secure direct communication based on \chi-type entangled states

Based on \chi -type entangled states and the two-step protocol Deng F G, Long G L and Liu X S 2003 Phys. Rev. A 68 042317, a quantum secret sharing protocol of secure direct communication based on \chi-type entangled states \vert \chi ^00\rangle _3214 is proposed. Using some interesting entanglement properties of this state, the agent entirety can directly obtain the secret message from the message sender only if they collaborate together. The security of the scheme is also discussed.