Quantum computation and real multiplication
Mathematical Physics
2013-12-13 v1 Information Theory
math.IT
math.MP
Abstract
We propose a construction of anyon systems associated to quantum tori with real multiplication and the embedding of quantum tori in AF algebras. These systems generalize the Fibonacci anyons, with weaker categorical properties, and are obtained from the basic modules and the real multiplication structure.
Keywords
Cite
@article{arxiv.1312.3590,
title = {Quantum computation and real multiplication},
author = {Matilde Marcolli and John Napp},
journal= {arXiv preprint arXiv:1312.3590},
year = {2013}
}
Comments
21 pages, LaTeX