This paper discusses the non-abelian statistics of half-quantum vortices in p-wave superconductors. A half-quantum vortex in a p-wave superconductor contains a zero-energy Majorana fermion, leading to a degenerate ground state. The non-abelian statistics of these vortices is similar to that of the Moore-Read (Pfaffian) quantum Hall state. The non-abelian statistics arises from the topological nature of the Majorana fermion and the way vortices interact. The paper shows that the non-abelian statistics of half-quantum vortices can be derived from the solutions to the Bogoliubov-de-Gennes equations. The non-abelian statistics is a result of the topological equivalence between the Pfaffian state and the BCS pairing state. The paper also discusses the properties of the half-quantum vortex, including the Majorana fermion zero mode and the transformation of the vortex under gauge transformations. The non-abelian statistics is shown to be robust against local perturbations. The paper concludes that p-wave superconductors may provide a promising hardware solution for quantum computation due to their non-abelian statistics.This paper discusses the non-abelian statistics of half-quantum vortices in p-wave superconductors. A half-quantum vortex in a p-wave superconductor contains a zero-energy Majorana fermion, leading to a degenerate ground state. The non-abelian statistics of these vortices is similar to that of the Moore-Read (Pfaffian) quantum Hall state. The non-abelian statistics arises from the topological nature of the Majorana fermion and the way vortices interact. The paper shows that the non-abelian statistics of half-quantum vortices can be derived from the solutions to the Bogoliubov-de-Gennes equations. The non-abelian statistics is a result of the topological equivalence between the Pfaffian state and the BCS pairing state. The paper also discusses the properties of the half-quantum vortex, including the Majorana fermion zero mode and the transformation of the vortex under gauge transformations. The non-abelian statistics is shown to be robust against local perturbations. The paper concludes that p-wave superconductors may provide a promising hardware solution for quantum computation due to their non-abelian statistics.