Kähler quantization and entanglement

Tatyana Barron, Alexander Kazachek

Aditi Sen

Tatyana Barron, Noah Wheatley

We address a general question whether geometry of submanifolds of an integral compact Kähler manifold is characterized by invariants that come from analysis. In geometric quantization, we have an integral compact Kähler manifold M and a holomorphic line bundle L on this manifold. There is a known procedure how to associate a sequence of mixed states (ρN), N=1,2,3,…, to a submanifold Λ of M. Do analytic properties of this sequence reflect the geometry of Λ ? In this paper, we consider the case when M is a product of two integral compact Kähler manifolds. We show that, when Λ is a product submanifold of M, then the entanglement of formation of ρN is zero for all sufficiently large N.

道夫 西岡

By introducing a complex phase into classical mechanical system, we study geomatic quantization of complex phase space woth Kahler metric to give a method of deriving Hilbert space representig the corresponding quantum mechanical system. We present two …

Shengjun Wu