Characterization of entanglement transformation via group representation theory

Details Characterization of entanglement transformation via group representation theory Characterization of entanglement transformation via group representation theory

2002-12-30

arxiv.org/abs/quant-ph/0212152v1

J. Phys. A 36, 12267 (2003)

Physics

Quantum Physics

5 pages, no figures

Scientific paper

10.1088/0305-4470/36/49/009

Entanglement transformation of composite quantum systems is investigated in the context of group representation theory. Representation of the direct product group $SL(2,C)\otimes SL(2,C)$, composed of local operators acting on the binary composite system, is realized in the four-dimensional complex space in terms of a set of novel bases that are pseudo orthonormalized. The two-to-one homomorphism is then established for the group $SL(2,C)\otimes SL(2,C)$ onto the $SO(4,C)$. It is shown that the resulting representation theory leads to the complete characterization for the entanglement transformation of the binary composite system.

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