How much complementarity?
arXiv:1202.3561 · doi:10.1063/1.3688947
Abstract
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.
6 pages; talk at the Vaxjo conference on Foundations of Probability and Physics, 2011
References in corpus (7)
- Testing the Hilbert space dimension
- A lower bound on the dimension of a quantum system given measured data
- Mubs and Hadamards of Order Six
- Maximal Sets of Mutually Unbiased Quantum States in Dimension Six
- A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6
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- Unbiased bases (Hadamards) for 6-level systems: Four ways from Fourier