1, 2, and 6 qubits, and the Ramanujan-Nagell theorem
Mathematical Physics
2012-12-12 v1 math.MP
Quantum Physics
Abstract
A conjecture of Ramanujan that was later proved by Nagell is used to show on the basis of matching dimensions that only three -qubit systems, for , can share an isomorphism of their symmetry groups with the rotation group of corresponding dimensions . Topological analysis, however, rules out the last possibility.
Keywords
Cite
@article{arxiv.1212.2378,
title = {1, 2, and 6 qubits, and the Ramanujan-Nagell theorem},
author = {Yaroslav Pavlyukh and A. R. P. Rau},
journal= {arXiv preprint arXiv:1212.2378},
year = {2012}
}