CP^n, or, entanglement illustrated

Physics – Quantum Physics

Scientific paper

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Details

28 pages, 9 figures

Scientific paper

10.1142/S0217751X02010820

We show that many topological and geometrical properties of complex
projective space can be understood just by looking at a suitably constructed
picture. The idea is to view CP^n as a set of flat tori parametrized by the
positive octant of a round sphere. We pay particular attention to submanifolds
of constant entanglement in CP^3 and give a few new results concerning them.

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