A hierarchy in Majorana non-abelian tests and hidden variable models
Abstract
The recent progress of the Majorana experiments paves a way for the future tests of non-abelian braiding statistics and topologically-protected quantum information processing. However, a deficient design in those tests could be very dangerous and reach false-positive conclusions. A careful theoretical analysis is necessary in order to develop loophole-free tests. We introduce a series of classical hidden variable models to capture certain key properties of Majorana system: non-locality, topologically non-triviality, and quantum interference. Those models could help us to classify the Majorana properties and to set up the boundaries and limitations of Majorana non-abelian tests: fusion tests, braiding tests and test set with joint measurements. We find a hierarchy among those Majorana tests with increasing experimental complexity.
Cite
@article{arxiv.2007.13105,
title = {A hierarchy in Majorana non-abelian tests and hidden variable models},
author = {Peng Qian and Dong E. Liu},
journal= {arXiv preprint arXiv:2007.13105},
year = {2023}
}
Comments
5 pages, 4 figures, 5 page supplementary