@article{Plenio:1997:10.1098/rspa.1997.0109,
author = {Plenio, MB and Knight, PL},
doi = {10.1098/rspa.1997.0109},
journal = {Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences},
pages = {2017--2041},
title = {Decoherence limits to quantum computation using trapped ions},
url = {http://dx.doi.org/10.1098/rspa.1997.0109},
volume = {453},
year = {1997}
}

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TY  - JOUR
AB  - 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.
AU  - Plenio,MB
AU  - Knight,PL
DO  - 10.1098/rspa.1997.0109
EP  - 2041
PY  - 1997///
SN  - 1364-5021
SP  - 2017
TI  - Decoherence limits to quantum computation using trapped ions
T2  - Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
UR  - http://dx.doi.org/10.1098/rspa.1997.0109
UR  - http://hdl.handle.net/10044/1/412
VL  - 453
ER  - 

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