dorsal/arxiv
View SchemaDecoherence Correction by the Zeno Effect and Non-Holonomic Control
| Authors | E. Brion, G. Harel, N. Kebaili, V. M. Akulin, I. Dumer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211003 |
| URL | https://arxiv.org/abs/quant-ph/0211003 |
| DOI | 10.1209/epl/i2003-10206-0 10.1088/1464-4266/7/10/022 |
| Journal | Europhys. Lett. 66, 157 (2004); J. Opt. B: Quantum Semiclass. Opt. 7, S353 (2005) |
Abstract
We show that multidimensional Zeno effect combined with non-holonomic control allows to efficiently protect quantum systems from decoherence by a method similar to classical coding. Contrary to the conventional approach, our method is applicable to arbitrary error-inducing Hamiltonians and general quantum systems. We also propose algorithms of finding encoding that approaches the Hamming upper bound along with methods of practical realizations of the encodings. Two new codes protecting 2 information qubits out of 7 and 4 information qubits out of 9 against a single error with arbitrarily small probability of failure are constructed as an example.
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"abstract": "We show that multidimensional Zeno effect combined with non-holonomic control\nallows to efficiently protect quantum systems from decoherence by a method\nsimilar to classical coding. Contrary to the conventional approach, our method\nis applicable to arbitrary error-inducing Hamiltonians and general quantum\nsystems. We also propose algorithms of finding encoding that approaches the\nHamming upper bound along with methods of practical realizations of the\nencodings. Two new codes protecting 2 information qubits out of 7 and 4\ninformation qubits out of 9 against a single error with arbitrarily small\nprobability of failure are constructed as an example.",
"arxiv_id": "quant-ph/0211003",
"authors": [
"E. Brion",
"G. Harel",
"N. Kebaili",
"V. M. Akulin",
"I. Dumer"
],
"categories": [
"quant-ph"
],
"doi": "10.1209/epl/i2003-10206-0 10.1088/1464-4266/7/10/022",
"journal_ref": "Europhys. Lett. 66, 157 (2004); J. Opt. B: Quantum Semiclass. Opt.\n 7, S353 (2005)",
"title": "Decoherence Correction by the Zeno Effect and Non-Holonomic Control",
"url": "https://arxiv.org/abs/quant-ph/0211003"
},
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