Quantum information theory relies on quantum mechanics and concludes quantum computation and quantum communication. The latter one concludes quantum teleportation, quantum dense coding and remote state teleportation. Quantum teleportation is one of the most noticeable in quantum communication. During the quantum teleportation, how to reduce the consumption of classical information has become an essential problem. Taking it into account, the schemes for probabilistic teleportation are mainly discussed in this paper.Firstly, the fundamental knowledge of quantum mechanics is introduced, concluding qubits and quantum entanglement et al. Secondly, we describe main methods of quantum communication. Finally, Quantum teleportation for teleporting unknown one-particle state and arbitrary two-particle state is studied by using analogous Bell state measurement. Auxiliary particles are not needed with certain probability. Meanwhile, we also explore the relative unitary transformation, auxiliary particles are needed. It is evident that the efficiency of experiments will be improved amazingly because of its reduction in classical resources' consumption.
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