A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6
Quantum Physics
2015-05-13 v2
Abstract
We exhibit an infinite family of {\it triplets} of mutually unbiased bases (MUBs) in dimension 6. These triplets involve the Fourier family of Hadamard matrices, . However, in the main result of the paper we also prove that for any values of the parameters , the standard basis and {\it cannot be extended to a MUB-quartet}. The main novelty lies in the {\it method} of proof which may successfully be applied in the future to prove that the maximal number of MUBs in dimension 6 is three.
Keywords
Cite
@article{arxiv.0902.0882,
title = {A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6},
author = {P. Jaming and M. Matolcsi and P. Móra and F. Szöllősi and M. Weiner},
journal= {arXiv preprint arXiv:0902.0882},
year = {2015}
}
Comments
32 pages (with Appendix A and B)