Generalized Noiseless Quantum Codes utilizing Quantum Enveloping Algebras
arXiv:quant-ph/9805084 · doi:10.1088/0305-4470/34/7/314
Abstract
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.
10 pages, LaTeX, 2 figures Postscript
References in corpus (8)
- Decoherence Free Subspaces for Quantum Computation
- Dynamical Decoupling of Open Quantum Systems
- Dynamical suppression of decoherence in two-state quantum systems
- Using Parity Kicks for Decoherence Control
- Quantum error avoiding codes versus quantum error correcting codes
- Quantum Groups in Hadron Phenomenology
- Pulse controlled noise suppressed quantum computation
- Decoherence control in quantum information processing: simple models