Quantum computation from fermionic anyons on a 1D lattice
Quantum Physics
2020-08-19 v2
Abstract
Fermionic linear optics corresponds to the dynamics of free fermions, and is known to be efficiently simulable classically. We define fermionic anyon models by deforming the fermionic algebra of creation and annihilation operators, and consider the dynamics of number-preserving, quadratic Hamiltonians on these operators. We show that any such deformation results in an anyonic linear optical model which allows for universal quantum computation.
Cite
@article{arxiv.1812.06807,
title = {Quantum computation from fermionic anyons on a 1D lattice},
author = {Allan D. C. Tosta and Daniel J. Brod and Ernesto F. Galvão},
journal= {arXiv preprint arXiv:1812.06807},
year = {2020}
}
Comments
9 pages, double-column, 2 figures v2: added references, corrected typos, better phrasing