Quantum Error Correction Beyond Completely Positive Maps

Details Quantum Error Correction Beyond Completely Positive Maps Quantum Error Correction Beyond Completely Positive Maps

2006-10-05

arxiv.org/abs/quant-ph/0610028v4

Physics

Quantum Physics

This paper has been withdrawn as it has been superseded by arXiv:0808.0175 and arXiv:0902.2478

Scientific paper

By introducing an operator sum representation for arbitrary linear maps, we develop a generalized theory of quantum error correction (QEC) that applies to any linear map, in particular maps that are not completely positive (CP). This theory of "linear quantum error correction" is applicable in cases where the standard and restrictive assumption of a factorized initial system-bath state does not apply.

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