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Since the first quantum secret sharing protocol based on Greenberger–Horne–Zeilinger (GHZ) states was presented by Hillery et al, dozens of quantum secret sharing protocols based on different entangled states (e.g. Bell states, d-level Bell states and GHZ states, etc) and product states have been developed. In this paper, we present a quantum secret sharing protocol, in which the genuinely maximally entangled six-qubit states, which was found recently by Borras et al, are used. An ordinary entangled state such as a Bell state or a GHZ state, etc can be used to share at most only one bit. However, according to our protocol, Alice can share three bits among three parties by a six-qubit state, which shows that our protocol is more efficient than any previous protocol.

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In this paper, we show that any S(S = 1, 2, 3, 4, 5, 6) persons can unite to teleport min(S, 6 - S) qubits to the other 6 - S persons if they a priori share a maximally genuinely entangled six-qubit state introduced by Borras et al. [A. Borras, A. R. Plastino, J. Batle, C. Zander, M. Casas and A. Plastino, J. Phys. A40 (2007) 13407]. Also, explicit protocols for perfectly teleporting arbitrary one-qubit state, two-qubit state as well as three-qubit state between arbitrary split of six partites are constructed. Moreover, to fulfil the protocol, either the senders or the receivers can make local operations individually in distant places.

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