Geometrical structures of multipartite quantum systems

Abstract

In this paper I will investigate geometrical structures of multipartite quantum systems based on complex projective varieties. These varieties are important in characterization of quantum entangled states. In particular I will establish relation between multi-projective Segre varieties and multip-qubit quantum states. I also will discuss other geometrical approaches such as toric varieties to visualize complex multipartite quantum systems.Comment: 5 pages, Talk given at The Seventh International Conference Quantum Theory and Symmetries (QTS-7), Prague, August 7-13, 201