Computational Geometry Analysis of Quantum State Space and Its Applications.

Kimikazu Kato, Mayumi Oto, Hiroshi Imai, Keiko Imai · 2008

We show some coincidences of Voronoi diagrams in a quantum state space with respect to some distances. This means a computational geometry interpretation of a structure of a quantum state space. More properly, we investigate the Voronoi diagrams with respect to the divergence, Fubini-Study distance, Bures distance, geodesic distance and Euclidean distance.

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