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Quantum Error Correction Fault Tolerance
Open Quantum Systems Decoherence
Linear Quantum Error Correction
arXiv
Authors: A. Shabani, D. A. Lidar
Year
2007
Paper ID
49367
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
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 describes entanglement-assisted QEC for invertible noise maps, which we use to provides an example of the physical implementation of non-CP recovery maps. We argue that a consistent map-based theory of fault-tolerant QEC (whether Markovian or not) requires linear, non-CP maps, and that this impacts the value of the fault-tolerance threshold.
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- This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
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- 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).
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