dorsal/arxiv
View SchemaDecoherence limits to quantum computation using trapped ions
| Authors | M. B. Plenio, P. L. Knight |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610015 |
| URL | https://arxiv.org/abs/quant-ph/9610015 |
| DOI | 10.1098/rspa.1997.0109 |
| Journal | Proc.Roy.Soc.Lond. A453 (1997) 2017-2041 |
Abstract
We investigate the problem of factorization of large numbers on a quantum computer which we imagine to be realized within a linear ion trap. We derive upper bounds on the size of the numbers that can be factorized on such a quantum computer. These upper bounds are independent of the power of the applied laser. We investigate two possible ways to implement qubits, in metastable optical transitions and in Zeeman sublevels of a stable ground state, and show that in both cases the numbers that can be factorized are not large enough to be of practical interest. We also investigate the effect of quantum error correction on our estimates and show that in realistic systems the impact of quantum error correction is much smaller than expected. Again no number of practical interest can be factorized.
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"abstract": "We investigate the problem of factorization of large numbers on a quantum\ncomputer which we imagine to be realized within a linear ion trap. We derive\nupper bounds on the size of the numbers that can be factorized on such a\nquantum computer. These upper bounds are independent of the power of the\napplied laser. We investigate two possible ways to implement qubits, in\nmetastable optical transitions and in Zeeman sublevels of a stable ground\nstate, and show that in both cases the numbers that can be factorized are not\nlarge enough to be of practical interest. We also investigate the effect of\nquantum error correction on our estimates and show that in realistic systems\nthe impact of quantum error correction is much smaller than expected. Again no\nnumber of practical interest can be factorized.",
"arxiv_id": "quant-ph/9610015",
"authors": [
"M. B. Plenio",
"P. L. Knight"
],
"categories": [
"quant-ph"
],
"doi": "10.1098/rspa.1997.0109",
"journal_ref": "Proc.Roy.Soc.Lond. A453 (1997) 2017-2041",
"title": "Decoherence limits to quantum computation using trapped ions",
"url": "https://arxiv.org/abs/quant-ph/9610015"
},
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