Characterization of entanglement transformation via group representation theory
Abstract
Entanglement transformation of composite quantum systems is investigated in the context of group representation theory. Representation of the direct product group SL(2,C) 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) 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.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.