Ingemar Bengtsson
Published 2012-02-16Version 1
Bohr placed complementary bases at the mathematical centre point of his view of quantum mechanics. On the technical side then my question translates into that of classifying complex Hadamard matrices. Recent work (with Barros e Sa) shows that the answer depends heavily on the prime number decomposition of the Hilbert space. By implication so does the geometry of quantum state space.
Comments: 6 pages; talk at the Vaxjo conference on Foundations of Probability and Physics, 2011
Complementarity between Position and Momentum as a Consequence of Kochen-Specker Arguments
Complementarity and correlations
Complementarity and quantum walks
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