A Concise Guide to Complex Hadamard Matrices
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- 1 June 2006
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Open Systems & Information Dynamics
- Vol. 13 (02) , 133-177
- https://doi.org/10.1007/s11080-006-8220-2
Abstract
Complex Hadamard matrices, consisting of unimodular entries with arbitrary phases, play an important role in the theory of quantum information. We review basic properties of complex Hadamard matrices and present a catalogue of inequivalent cases known for the dimensions N = 2,…,16. In particular, we explicitly write down some families of complex Hadamard matrices for N = 12, 14 and 16, which we could not find in the existing literature.Keywords
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