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Proceedings Paper

Compatible conditions, entanglement, and invariants
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Paper Abstract

To find whether a set of reduced density matrixes come from a common multi-party state is a hard and important problem. In this paper, (1) we introduce a method to find out some polytopes in one-party eigenvalue-space which are sufficient conditions of this problem. (2) We point out that there are some relations between the compatible conditions and the entanglement of pure states. And we show this idea more clearly in the three-qubit case. (3) We investigate the relations between the compatibility problem and the invariants of a matrix-set under some groups. Furthermore, we show that it is one of the reasons why the compatibility problems which involve the multi-party density matrixes are much more difficult than the one-party case.

Paper Details

Date Published: 11 January 2005
PDF: 7 pages
Proc. SPIE 5631, Quantum Optics and Applications in Computing and Communications II, (11 January 2005); doi: 10.1117/12.572313
Show Author Affiliations
Yong-Jian Han, Univ. of Science and Technology of China (China)
Yong-Sheng Zhang, Univ. of Science and Technology of China (China)
Guang-Can Guo, Univ. of Science and Technology of China (China)


Published in SPIE Proceedings Vol. 5631:
Quantum Optics and Applications in Computing and Communications II
Guang-Can Guo; Hoi-Kwong Lo; Masahide Sasaki; Songhao Liu, Editor(s)

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