2018/11/30 by Leili Esmaeilifar, Behrouz Mirza, Hosein Mohammadzadeh
Computer Science · Physics and Astronomy · #Anyon #Boson #Density matrix #Fermion #Fisher information #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum entanglement #Topological quantum computer #quant-ph
paper · pdf · doi:10.1007/s10773-020-04586-y
published as International Journal of Theoretical Physics (2020) 59:3289-3298 · 5 pages, 5 figures
openalex created_date 2018/11/29 · openalex publication_date 2020/09/08 · arxiv created 2020/10/06 · arxiv updated 2020/10/07 · openalex updated_date 2026/08/05
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.