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CPn, or, entanglement illustrated

I. Bengtsson, J. Braennlund, K. Zyczkowski

quant-pharXiv:quant-ph/0108064

Abstract

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 CPn 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 CP3 and give a few new results concerning them.

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