A Curious Geometrical Fact About Entanglement
arXiv:0707.3512 · doi:10.1063/1.2827333
Abstract
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.
Talk at the Vaxjo conference on Quantum Theory: Reconsideration of Foundations - 4