dorsal/arxiv
View SchemaPerfect Quantum Error Correction Code
| Authors | Raymond Laflamme, Cesar Miquel, Juan Pablo Paz, Wojciech Hubert Zurek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9602019 |
| URL | https://arxiv.org/abs/quant-ph/9602019 |
Abstract
We present a quantum error correction code which protects a qubit of information against general one qubit errors which maybe caused by the interaction with the environment. To accomplish this, we encode the original state by distributing quantum information over five qubits, the minimal number required for this task. We give a simple circuit which takes the initial state with four extra qubits in the state |0> to the encoded state. The circuit can be converted into a decoding one by simply running it backward. Reading the extra four qubits at the decoder's output we learn which one of the sixteen alternatives (no error plus all fifteen possible 1-bit errors) was realized. The original state of the encoded qubit can then be restored by a simple unitary transformation.
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"date_created": "2026-03-02T18:02:37.386000Z",
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"abstract": "We present a quantum error correction code which protects a qubit of\ninformation against general one qubit errors which maybe caused by the\ninteraction with the environment. To accomplish this, we encode the original\nstate by distributing quantum information over five qubits, the minimal number\nrequired for this task. We give a simple circuit which takes the initial state\nwith four extra qubits in the state |0\u003e to the encoded state. The circuit can\nbe converted into a decoding one by simply running it backward. Reading the\nextra four qubits at the decoder\u0027s output we learn which one of the sixteen\nalternatives (no error plus all fifteen possible 1-bit errors) was realized.\nThe original state of the encoded qubit can then be restored by a simple\nunitary transformation.",
"arxiv_id": "quant-ph/9602019",
"authors": [
"Raymond Laflamme",
"Cesar Miquel",
"Juan Pablo Paz",
"Wojciech Hubert Zurek"
],
"categories": [
"quant-ph"
],
"title": "Perfect Quantum Error Correction Code",
"url": "https://arxiv.org/abs/quant-ph/9602019"
},
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"source": {
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"type": "Model",
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