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Zbl 0885.68059
Barenco, Adriano; Berthiaume, André; Deutsch, David; Ekert, Artur; Jozsa, Richard
Stabilization of quantum computations by symmetrization.
(English)
[J] SIAM J. Comput. 26, No.5, 1541-1557 (1997). ISSN 0097-5397; ISSN 1095-7111/e

Summary: We propose a method for the stabilization of quantum computations (including quantum state storage). The method is based on the operation of projection into SYM, the symmetric subspace of the full state space of $R$ redundant copies of the computer. We describe an efficient algorithm and quantum network effecting SYM-protection and discuss the stabilizing effect of the proposed method in the context of unitary errors generated by hardware imprecision, and nonunitary errors arising from external environmental interaction. Finally, limitations of the method are discussed.
MSC 2000:
*68Q05 Models of computation
81P68 Quantum computation and quantum cryptography

Keywords: quantum computation; error correction; quantum state storage

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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