Geometrical structures of multipartite quantum systems

Details Geometrical structures of multipartite quantum systems Geometrical structures of multipartite quantum systems

2011-12-16

arxiv.org/abs/1112.3754v1

2012 J. Phys.: Conf. Ser. 343 012001

Physics

Quantum Physics

5 pages, Talk given at The Seventh International Conference Quantum Theory and Symmetries (QTS-7), Prague, August 7-13, 2011

Scientific paper

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.

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