ABSTRACT The physical nature of psi phenomena such as telepathy is an important problem in present science of consciousness. Scientists have basically confirmed the existence of telepathy phenomena through many strict experiments. Then can modern science (e.g. quantum theory) provide a scientific explanation for telepathy phenomena? In this paper, we will seek the possible quantum nature of telepathy from both theoretical and experimental aspects, and will present a primary quantum model of telepathy process. It is well known that even though present quantum theory permits the existence of quantum nonlocality, it does forbid the realization of nonlocal communication or quantum superluminal communication (QSC). However, the usual no-go theor...