Multiboson Logical Operators, Laughlin States, and Virasoro Algebra

Details Multiboson Logical Operators, Laughlin States, and Virasoro Algebra Multiboson Logical Operators, Laughlin States, and Virasoro Algebra

2008-06-23

arxiv.org/abs/0806.3645v1

Physics

Quantum Physics

25 pages, no figures, LaTeX

Scientific paper

Leading idea of this manuscript is to discuss the structure and the deep correlations among different quantum physical systems, and to explore how such correlations bear on the capacity of the systems to encode and manipulate information. In particular, the role of logical operators constructed out of multi-boson (and possibly fractionary-boson) operators is analyzed in its relation on the one hand with the algebra of diffeomorphisms of the circle, on the other with the physical properties of the fractional quantum Hall effect (described in terms of Laughlin states) and of its many electron representation in terms of the Chern-Simons topological quantum field theory.

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