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Complex Hadamard matrices of order 6: a four-parameter family
- Publication Year :
- 2010
-
Abstract
- In this paper we construct a new, previously unknown four-parameter family of complex Hadamard matrices of order 6, the entries of which are described by algebraic functions of roots of various sextic polynomials. We conjecture that the new, generic family G together with Karlsson's degenerate family K and Tao's spectral matrix S form an exhaustive list of complex Hadamard matrices of order 6. Such a complete characterization might finally lead to the solution of the famous MUB-6 problem.<br />Comment: 17 pages; Contribution to the workshop "Quantum Physics in higher dimensional Hilbert Spaces", Traunkirchen, Austria, July 2010
- Subjects :
- Mathematics - Operator Algebras
05B20, 46L10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1008.0632
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1112/jlms/jdr052