dorsal/arxiv
View SchemaPerfect quantum error correction coding in 24 laser pulses
| Authors | Samuel L. Braunstein, John A. Smolin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9604036 |
| URL | https://arxiv.org/abs/quant-ph/9604036 |
| DOI | 10.1103/PhysRevA.55.945 |
Abstract
An efficient coding circuit is given for the perfect quantum error correction of a single qubit against arbitrary 1-qubit errors within a 5 qubit code. The circuit presented employs a double `classical' code, i.e., one for bit flips and one for phase shifts. An implementation of this coding circuit on an ion-trap quantum computer is described that requires 26 laser pulses. A further circuit is presented requiring only 24 laser pulses, making it an efficient protection scheme against arbitrary 1-qubit errors. In addition, the performance of two error correction schemes, one based on the quantum Zeno effect and the other using standard methods, is compared. The quantum Zeno error correction scheme is found to fail completely for a model of noise based on phase-diffusion.
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"abstract": "An efficient coding circuit is given for the perfect quantum error correction\nof a single qubit against arbitrary 1-qubit errors within a 5 qubit code. The\ncircuit presented employs a double `classical\u0027 code, i.e., one for bit flips\nand one for phase shifts. An implementation of this coding circuit on an\nion-trap quantum computer is described that requires 26 laser pulses. A further\ncircuit is presented requiring only 24 laser pulses, making it an efficient\nprotection scheme against arbitrary 1-qubit errors. In addition, the\nperformance of two error correction schemes, one based on the quantum Zeno\neffect and the other using standard methods, is compared. The quantum Zeno\nerror correction scheme is found to fail completely for a model of noise based\non phase-diffusion.",
"arxiv_id": "quant-ph/9604036",
"authors": [
"Samuel L. Braunstein",
"John A. Smolin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.55.945",
"title": "Perfect quantum error correction coding in 24 laser pulses",
"url": "https://arxiv.org/abs/quant-ph/9604036"
},
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