dorsal/arxiv
View SchemaComment on "Optimum Quantum Error Recovery using Semidefinite Programming"
| Authors | M. Reimpell, R. F. Werner, K. Audenaert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606059 |
| URL | https://arxiv.org/abs/quant-ph/0606059 |
Abstract
In a recent paper ([1]=quant-ph/0606035) it is shown how the optimal recovery operation in an error correction scheme can be considered as a semidefinite program. As a possible future improvement it is noted that still better error correction might be obtained by optimizing the encoding as well. In this note we present the result of such an improvement, specifically for the four-bit correction of an amplitude damping channel considered in [1]. We get a strict improvement for almost all values of the damping parameter. The method (and the computer code) is taken from our earlier study of such correction schemes (quant-ph/0307138).
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"abstract": "In a recent paper ([1]=quant-ph/0606035) it is shown how the optimal recovery\noperation in an error correction scheme can be considered as a semidefinite\nprogram. As a possible future improvement it is noted that still better error\ncorrection might be obtained by optimizing the encoding as well. In this note\nwe present the result of such an improvement, specifically for the four-bit\ncorrection of an amplitude damping channel considered in [1]. We get a strict\nimprovement for almost all values of the damping parameter. The method (and the\ncomputer code) is taken from our earlier study of such correction schemes\n(quant-ph/0307138).",
"arxiv_id": "quant-ph/0606059",
"authors": [
"M. Reimpell",
"R. F. Werner",
"K. Audenaert"
],
"categories": [
"quant-ph"
],
"title": "Comment on \"Optimum Quantum Error Recovery using Semidefinite Programming\"",
"url": "https://arxiv.org/abs/quant-ph/0606059"
},
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