Probabilistic Dense Coding for Multi-communications with Non-maximally Entangled State

Probabilistic dense coding in the case of three energy-level non-maximally quantum entangled states between three parties has been investigated in this paper. By introducing an auxiliary particle and performing a collective unitary operation, dense coding of non-maximally entangled state is succeeded with certain probability. The coding scheme for multi-communications between N+1-parties is generalized by partly entangled state.