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arxiv: 0707.3512 · v1 · submitted 2007-07-24 · 🪐 quant-ph

A Curious Geometrical Fact About Entanglement

classification 🪐 quant-ph
keywords purestatescuriousityconcerningcuriousentangledentanglementfact
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I sketch how the set of pure quantum states forms a phase space, and then point out a curiousity concerning maximally entangled pure states: they form a minimal Lagrangian submanifold of the set of all pure states. I suggest that this curiousity should have an interesting physical interpretation.

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