dorsal/arxiv
View SchemaGeneralized Noiseless Quantum Codes utilizing Quantum Enveloping Algebras
| Authors | Micho Durdevich, Hanna E. Makaruk, Robert Owczarek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805084 |
| URL | https://arxiv.org/abs/quant-ph/9805084 |
| DOI | 10.1088/0305-4470/34/7/314 |
| Journal | J.Phys.A34:1423-1438,2001 |
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.
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"abstract": "A generalization of the results of Rasetti and Zanardi concerning avoiding\nerrors in quantum computers by using states preserved by evolution is\npresented. The concept of dynamical symmetry is generalized from the level of\nclassical Lie algebras and groups to the level of dynamical symmetry based on\nquantum Lie algebras and quantum groups (in the sense of Woronowicz). A natural\nconnection is proved between states preserved by representations of a quantum\ngroup and states preserved by evolution with dynamical symmetry of the\nappropriate universal enveloping algebra. Illustrative examples are discussed.",
"arxiv_id": "quant-ph/9805084",
"authors": [
"Micho Durdevich",
"Hanna E. Makaruk",
"Robert Owczarek"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/34/7/314",
"journal_ref": "J.Phys.A34:1423-1438,2001",
"title": "Generalized Noiseless Quantum Codes utilizing Quantum Enveloping Algebras",
"url": "https://arxiv.org/abs/quant-ph/9805084"
},
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