Decoherence by Correlated Noise and Quantum Error Correction

E. Novais; Harold U. Baranger

Decoherence by Correlated Noise and Quantum Error Correction

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arxiv quant-ph/0508228 v2 pith:4E5YEP3Z submitted 2005-08-30 quant-ph cond-mat.mes-hall

E. Novais , Harold U. Baranger This is my paper · ORCID

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keywords computercorrectiondecoherenceerrorquantumcorrelatedenvironmentgeneral

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We study the decoherence of a quantum computer in an environment which is inherently correlated in time and space. We first derive the nonunitary time evolution of the computer and environment in the presence of a stabilizer error correction code, providing a general way to quantify decoherence for a quantum computer. The general theory is then applied to the spin-boson model. Our results demonstrate that effects of long-range correlations can be systematically reduced by small changes in the error correction codes.

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