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An accurate analytical framework for computing fault-tolerance thresholds using the [[7,1,3]] quantum code

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dc.contributor.advisor Isaac Chuang. en_US
dc.contributor.author Morten, Andrew J en_US
dc.contributor.other Massachusetts Institute of Technology. Dept. of Physics. en_US
dc.date.accessioned 2006-12-18T19:59:51Z
dc.date.available 2006-12-18T19:59:51Z
dc.date.copyright 2005 en_US
dc.date.issued 2005 en_US
dc.identifier.uri http://hdl.handle.net/1721.1/35052
dc.description Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2005. en_US
dc.description Includes bibliographical references (p. 141-143). en_US
dc.description.abstract In studies of the threshold for fault-tolerant quantum error-correction, it is generally assumed that the noise channel at all levels of error-correction is the depolarizing channel. The effects of this assumption on the threshold result are unknown. We address this problem by calculating the effective noise channel at all levels of error-correction specifically for the Steane [[7,1,3]] code, and we recalculate the threshold using the new noise channels. We present a detailed analytical framework for these calculations and run numerical simulations for comparison. We find that only X and Z failures occur with significant probability in the effective noise channel at higher levels of error-correction. We calculate that when changes in the noise channel are accounted for, the value of the threshold for the Steane [[7,1,3]] code increases by about 30 percent, from .00030 to .00039, when memory failures occur with one tenth the probability of all other failures. Furthermore, our analytical model provides a framework for calculating thresholds for systems where the initial noise channel is very different from the depolarizing channel, such as is the case for ion trap quantum computation. en_US
dc.description.statementofresponsibility by Andrew J. Morten. en_US
dc.format.extent 143 p. en_US
dc.format.extent 5953185 bytes
dc.format.extent 5960792 bytes
dc.format.mimetype application/pdf
dc.format.mimetype application/pdf
dc.language.iso eng en_US
dc.publisher Massachusetts Institute of Technology en_US
dc.rights M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. en_US
dc.rights.uri http://dspace.mit.edu/handle/1721.1/7582
dc.subject Physics. en_US
dc.title An accurate analytical framework for computing fault-tolerance thresholds using the [[7,1,3]] quantum code en_US
dc.type Thesis en_US
dc.description.degree S.B. en_US
dc.contributor.department Massachusetts Institute of Technology. Dept. of Physics. en_US
dc.identifier.oclc 69695499 en_US


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