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CP^n, or, entanglement illustrated

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arxiv quant-ph/0108064 v1 pith:K7LH6VVJ submitted 2001-08-13 quant-ph hep-th

classification quant-phhep-th
keywords entanglementattentioncomplexconcerningconstantconstructedflatgeometrical
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 36 citations worldwide. Full citation record

  1. Zero modes of non-abelian Dirac operator in topologically non-trivial band insulator

    cond-mat.str-el 2026-05 unverdicted novelty 5.0 of 10

    Gauge invariance of the quantum geometric tensor implies zero modes of a non-abelian Dirac operator in band insulators whose theta-function solutions define CP^{N-1} spaces and generalize vortexability criteria with l...

  2. Geometric representation of higher-order optical modes

    physics.optics 2026-02 conditional novelty 4.0 of 10

    Second- and higher-order optical modes are represented on an octant-with-torus geometry, so mode converters become simple phase shifts on the torus.

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