Geometrical structures of multipartite quantum systems
arXiv:1112.3754 · doi:10.1088/1742-6596/343/1/012045
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.
5 pages, Talk given at The Seventh International Conference Quantum Theory and Symmetries (QTS-7), Prague, August 7-13, 2011