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Quantum Error Correction Fault Tolerance

Asymmetric quantum error correction via code conversion

arXiv

Authors: A. M. Stephens, Z. W. E. Evans, S. J. Devitt, L. C. L. Hollenberg

Year

2007

Paper ID

49232

Status

Preprint

Abstract Read

~2 min

Abstract Words

122

Citations

N/A

Abstract

In many physical systems it is expected that environmental decoherence will exhibit an asymmetry between dephasing and relaxation that may result in qubits experiencing discrete phase errors more frequently than discrete bit errors. In the presence of such an error asymmetry, an appropriately asymmetric quantum code - that is, a code that can correct more phase errors than bit errors - will be more efficient than a traditional, symmetric quantum code. Here we construct fault tolerant circuits to convert between an asymmetric subsystem code and a symmetric subsystem code. We show that, for a moderate error asymmetry, the failure rate of a logical circuit can be reduced by using a combined symmetric asymmetric system and that doing so does not preclude universality.

Why This Paper Matters

This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
It adds a 2007 reference point for readers tracking recent quantum research.
In many physical systems it is expected that environmental decoherence will exhibit an asymmetry between dephasing and relaxation that may result in qubits experiencing...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0708.3969 [2] arXiv https://arxiv.org/abs/0708.3969 [3] Publisher https://arxiv.org/abs/0708.3969

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Publication Details

Journal / Source: arXiv preprint
DOI: arXiv:0708.3969
arXiv ID: 0708.3969
Version status: Preprint available

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