Introduction to the 5/2 fractional quantum Hall state：even denominator and topological quantum computation

The 5/2 state is distinct from most of the observed fractional quantum Hall states by being an even denominator state. Some of the proposed wave functions in this state possess non-Abelian statistics, which has potential applications in topological quantum computation.This article briefly introduces the basic concepts of the fractional quantum Hall effect, 5/2 state,non-Abelian statistics, and recent progress in this field.