dorsal/arxiv
View SchemaSuboptimal quantum-error-correcting procedure based on semidefinite programming
| Authors | Naoki Yamamoto, Shinji Hara, Koji Tsumura |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606105 |
| URL | https://arxiv.org/abs/quant-ph/0606105 |
| DOI | 10.1103/PhysRevA.71.022322 |
| Journal | Physical Review A 71, 022322 (2005) |
Abstract
In this paper, we consider a simplified error-correcting problem: for a fixed encoding process, to find a cascade connected quantum channel such that the worst fidelity between the input and the output becomes maximum. With the use of the one-to-one parametrization of quantum channels, a procedure finding a suboptimal error-correcting channel based on a semidefinite programming is proposed. The effectiveness of our method is verified by an example of the bit-flip channel decoding.
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"abstract": "In this paper, we consider a simplified error-correcting problem: for a fixed\nencoding process, to find a cascade connected quantum channel such that the\nworst fidelity between the input and the output becomes maximum. With the use\nof the one-to-one parametrization of quantum channels, a procedure finding a\nsuboptimal error-correcting channel based on a semidefinite programming is\nproposed. The effectiveness of our method is verified by an example of the\nbit-flip channel decoding.",
"arxiv_id": "quant-ph/0606105",
"authors": [
"Naoki Yamamoto",
"Shinji Hara",
"Koji Tsumura"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.71.022322",
"journal_ref": "Physical Review A 71, 022322 (2005)",
"title": "Suboptimal quantum-error-correcting procedure based on semidefinite programming",
"url": "https://arxiv.org/abs/quant-ph/0606105"
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