Entropy and Hadamard Matrices

Details Entropy and Hadamard Matrices Entropy and Hadamard Matrices

2002-06-13

arxiv.org/abs/math-ph/0206018v2

Physics

Mathematical Physics

7 pages, minor typographical errors corrected and conclusion added

Scientific paper

The entropy of an orthogonal matrix is defined. It provides a new interpretation of Hadamard matrices as those that saturate the bound for entropy.It appears to be a useful Morse function on the group manifold. It has sharp maxima and other saddle points. The matrices corresponding to the maxima for 3 and 5 dimensions are presented. They are integer matrices (upto a rescaling).

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