dorsal/arxiv
View SchemaQuantum Error Correction in the Zeno Regime
| Authors | Noam Erez, Yakir Aharonov, Benni Reznik, Lev Vaidman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309162 |
| URL | https://arxiv.org/abs/quant-ph/0309162 |
| DOI | 10.1103/PhysRevA.69.062315 |
| Journal | Phys. Rev. A 69 (6), 062315 (2004) |
Abstract
In order to reduce errors, error correction codes (ECCs) need to be implemented fast. They can correct the errors corresponding to the first few orders in the Taylor expansion of the Hamiltonian of the interaction with the environment. If implemented fast enough, the zeroth order error predominates and the dominant effect is of error prevention by measurement (Zeno Effect) rather than correction. In this ``Zeno Regime'', codes with less redundancy are sufficient for protection. We describe such a simple scheme, which uses two ``noiseless'' qubits to protect a large number, $n$, of information qubits from noise from the environment. The ``noisless qubits'' can be realized by treating them as logical qubits to be encoded by one of the previously introduced encoding schemes.
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"abstract": "In order to reduce errors, error correction codes (ECCs) need to be\nimplemented fast. They can correct the errors corresponding to the first few\norders in the Taylor expansion of the Hamiltonian of the interaction with the\nenvironment. If implemented fast enough, the zeroth order error predominates\nand the dominant effect is of error prevention by measurement (Zeno Effect)\nrather than correction. In this ``Zeno Regime\u0027\u0027, codes with less redundancy are\nsufficient for protection. We describe such a simple scheme, which uses two\n``noiseless\u0027\u0027 qubits to protect a large number, $n$, of information qubits from\nnoise from the environment. The ``noisless qubits\u0027\u0027 can be realized by treating\nthem as logical qubits to be encoded by one of the previously introduced\nencoding schemes.",
"arxiv_id": "quant-ph/0309162",
"authors": [
"Noam Erez",
"Yakir Aharonov",
"Benni Reznik",
"Lev Vaidman"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.062315",
"journal_ref": "Phys. Rev. A 69 (6), 062315 (2004)",
"title": "Quantum Error Correction in the Zeno Regime",
"url": "https://arxiv.org/abs/quant-ph/0309162"
},
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