EDUCATIONAL ACTIVITY OF THE DEPARTMENT OF INORGANIC CHEMISTRY AT THE TECHNICAL UNIVERSITY OF BUDAPEST

A summary is given about the subjects lectured by the department for chemical engineering students. The most important task of the department is to lecture general and inorganic chemistry for first year students and to run the related seminars on chemical calculations, and laboratory practice. In the second level of tuition the department is responsible for quantum chemistry subject. Besides, the department offers some criterion and elective subjects for the students and participates in English language course at the Chemical Engineering Faculty

Constructions of complex Hadamard matrices via tiling Abelian groups

Applications in quantum information theory and quantum tomography have raised current interest in complex Hadamard matrices. In this note we investigate the connection between tiling Abelian groups and constructions of complex Hadamard matrices. First, we recover a recent very general construction of complex Hadamard matrices due to Dita via a natural tiling construction. Then we find some necessary conditions for any given complex Hadamard matrix to be equivalent to a Dita-type matrix. Finally, using another tiling construction, due to Szabo, we arrive at new parametric families of complex Hadamard matrices of order 8, 12 and 16, and we use our necessary conditions to prove that these families do not arise with Dita's construction. These new families complement the recent catalogue of complex Hadamard matrices of small order.Comment: 15 page