Matolcsi, Máté and Szöllősi, Ferenc
(2008)
*Towards a classification of 6 × 6 complex hadamard matrices.*
OPEN SYSTEMS & INFORMATION DYNAMICS, 15 (2).
pp. 93-108.
ISSN 1230-1612

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## Abstract

Complex Hadamard matrices have received considerable attention in the past few years due to their application in quantum information theory. While a complete characterization currently available [5] is only up to order 5, several new constructions of higher order matrices have appeared recently [4, 12, 2, 7, 11]. In particular, the classification of self-adjoint complex Hadamard matrices of order 6 was completed by Beuachamp and Nicoara in [2], providing a previously unknown non-affine one-parameter orbit. In this paper we classify all dephased, symmetric complex Hadamard matrices with real diagonal of order 6. Furthermore, relaxing the condition on the diagonal entries we obtain a new non-affine one-parameter orbit connecting the Fourier matrix F(6) and Dita's matrix D(6). This answers a recent question of Bengtsson et al. [3].

Item Type: | Article |
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Uncontrolled Keywords: | SCHEMES; ALGEBRAS; ORTHOGONAL PAIRS; STAR-SUBALGEBRAS |

Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány Q Science / természettudomány > QC Physics / fizika |

SWORD Depositor: | MTMT SWORD |

Depositing User: | MTMT SWORD |

Date Deposited: | 09 Dec 2013 15:34 |

Last Modified: | 09 Dec 2013 15:34 |

URI: | http://real.mtak.hu/id/eprint/7901 |

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