Generalized Noiseless Quantum Codes utilizing Quantum Enveloping Algebras

Details Generalized Noiseless Quantum Codes utilizing Quantum Enveloping Algebras Generalized Noiseless Quantum Codes utilizing Quantum Enveloping Algebras

1998-05-28

arxiv.org/abs/quant-ph/9805084v1

J.Phys.A34:1423-1438,2001

Physics

Quantum Physics

10 pages, LaTeX, 2 figures Postscript

Scientific paper

10.1088/0305-4470/34/7/314

A generalization of the results of Rasetti and Zanardi concerning avoiding errors in quantum computers by using states preserved by evolution is presented. The concept of dynamical symmetry is generalized from the level of classical Lie algebras and groups to the level of dynamical symmetry based on quantum Lie algebras and quantum groups (in the sense of Woronowicz). A natural connection is proved between states preserved by representations of a quantum group and states preserved by evolution with dynamical symmetry of the appropriate universal enveloping algebra. Illustrative examples are discussed.

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