English

Hadamard Matrices from Mutually Unbiased Bases

Mathematical Physics 2010-11-02 v2 math.MP

Abstract

An analytical method for getting new complex Hadamard matrices by using mutually unbiased bases and a nonlinear doubling formula is provided. The method is illustrated with the n=4 case that leads to a rich family of eight-dimensional Hadamard matrices that depend on five arbitrary parameters whose modulus is equal to unity.

Keywords

Cite

@article{arxiv.1002.4933,
  title  = {Hadamard Matrices from Mutually Unbiased Bases},
  author = {Petre Dita},
  journal= {arXiv preprint arXiv:1002.4933},
  year   = {2010}
}
R2 v1 2026-06-21T14:51:30.450Z