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Mubs and Hadamards of Order Six
Ingemar Bengtsson, Wojciech Bruzda, Asa Ericsson +3
We report on a search for mutually unbiased bases (MUBs) in 6 dimensions. We find only triplets of MUBs, and thus do not come close to the theoretical upper bound 7. However, we po…
Higher-Rank Numerical Ranges of Unitary and Normal Matrices
Man-Duen Choi, John A. Holbrook, David W. Kribs +1
We verify a conjecture on the structure of higher-rank numerical ranges for a wide class of unitary and normal matrices. Using analytic and geometric techniques, we show precisely…
An Introduction to Quantum Entanglement: a Geometric Approach
Karol Zyczkowski, Ingemar Bengtsson
We present a concise introduction to quantum entanglement. Concentrating on bipartite systems we review the separability criteria and measures of entanglement. We focus our attenti…