Relativistic Quantum Information of Anyons

In this paper, a method is developed to investigate the relativistic quantum information of anyons. Anyons are particles with intermediate statistics ranging between Bose-Einstein and Fermi-Dirac statistics, with a parameter α (0<α<1) characteristic of this intermediate statistics. A density matrix is also introduced as a combination of the density matrices of bosons and fermions with a continuous parameter, α, that represents the behavior of anyons. This density matrix reduces to bosonic and fermionic density matrices in the limits α→ 0 and α→ 1,respectively. We compute entanglement entropy, negativity, and coherency for anyons in non-inertial frames as a function of α. We also computed quantum fisher information for these particles. Semions, which are particles with α= 0.5, were found to have minimum quantum fisher information with respect to α than those with other values of fractional parameter.