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dc.contributor.authorLai, Ching-Yi
dc.contributor.authorPaz, Gerardo
dc.contributor.authorSuchara, Martin
dc.contributor.authorBrun, Todd
dc.date.accessioned2018-02-12T04:00:10Z
dc.date.available2018-02-12T04:00:10Z
dc.date.issued2014
dc.identifier.issn1533-7146
dc.identifier.urihttp://hdl.handle.net/10072/173264
dc.description.abstractKnill demonstrated a fault-tolerant quantum computation scheme based on concatenated error-detecting codes and postselection with a simulated error threshold of 3% over the depolarizing channel. We show how to use Knill’s postselection scheme in a practical two-dimensional quantum architecture that we designed with the goal to optimize the error correction properties, while satisfying important architectural constraints. In our 2D architecture, one logical qubit is embedded in a tile consisting of 5×5 physical qubits. The movement of these qubits is modeled as noisy SWAP gates and the only physical operations that are allowed are local one- and two-qubit gates. We evaluate the practical properties of our design, such as its error threshold, and compare it to the concatenated Bacon-Shor code and the concatenated Steane code. Assuming that all gates have the same error rates, we obtain a threshold of 3.06 × 10−4 in a local adversarial stochastic noise model, which is the highest known error threshold for concatenated codes in 2D. We also present a Monte Carlo simulation of the 2D architecture with depolarizing noise and we calculate a pseudo-threshold of about 0.1%. With memory error rates one-tenth of the worst gate error rates, the threshold for the adversarial noise model, and the pseudo-threshold over depolarizing noise, are 4.06 × 10−4 and 0.2%, respectively. In a hypothetical technology where memory error rates are negligible, these thresholds can be further increased by shrinking the tiles into a 4 × 4 layout.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherRinton Press, Inc.
dc.publisher.urihttp://www.rintonpress.com/journals/qiconline.html#v14n910
dc.relation.ispartofpagefrom807
dc.relation.ispartofpageto822
dc.relation.ispartofissue9-10
dc.relation.ispartofjournalQuantum Information and Computation
dc.relation.ispartofvolume14
dc.subject.fieldofresearchQuantum physics
dc.subject.fieldofresearchQuantum physics not elsewhere classified
dc.subject.fieldofresearchcode5108
dc.subject.fieldofresearchcode510899
dc.titlePerformance and Error Analysis of Knill's Postselection Scheme in a Two-Dimensional Architecture
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2014 Rinton Press, Inc. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.hasfulltextFull Text
gro.griffith.authorPaz Silva, Gerardo A.


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