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arXiv · 1811.06839

Relativistic Quantum Information of Anyons

Leili Esmaeilifar·Behrouz Mirza·Hosein Mohammadzadeh
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Abstract

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 $\alpha$ ($0<\alpha<1$) 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, $\alpha$, that represents the behavior of anyons. This density matrix reduces to bosonic and fermionic density matrices in the limits $\alpha\rightarrow 0$ and $\alpha\rightarrow 1$,respectively. We compute entanglement entropy, negativity, and coherency for anyons in non-inertial frames as a function of $\alpha$. We also computed quantum fisher information for these particles. Semions, which are particles with $\alpha = 0.5$, were found to have minimum quantum fisher information with respect to $\alpha$ than those with other values of fractional parameter.

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Leili Esmaeilifar, Behrouz Mirza, Hosein Mohammadzadeh. 2018-11-13. Relativistic Quantum Information of Anyons. https://doi.org/10.1007/s10773-020-04586-y

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