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Generalized surface codes and packing of logical qubits

Delfosse, Nicolas and Iyer, Pavithran and Poulin, David (2016) Generalized surface codes and packing of logical qubits. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20171109-142607199

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Abstract

We consider a notion of relative homology (and cohomology) for surfaces with two types of boundaries. Using this tool, we study a generalization of Kitaev's code based on surfaces with mixed boundaries. This construction includes both Bravyi and Kitaev's and Freedman and Meyer's extension of Kitaev's toric code. We argue that our generalization offers a denser storage of quantum information. In a planar architecture, we obtain a three-fold overhead reduction over the standard architecture consisting of a punctured square lattice.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1606.07116arXivDiscussion Paper
Additional Information:The authors would like to thank Aleksander Kubica and Fernando Pastawski for their comments on a preliminary version of this article. ND was supported by the U.S. Army Research Office under Grant No. W911NF-14-1-0272 and by the NSF under Grant No. PHY-1416578, ND acknowledges funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-2644). PI and DP were supported by Canada's NSERC and by the Canadian Institute for Advanced Research.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-14-1-0272
NSF PHY-1416578
NSFPHY-1125565
Gordon and Betty Moore FoundationGBMF-2644
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Canadian Institute for Advanced Research (CIFAR)UNSPECIFIED
Record Number:CaltechAUTHORS:20171109-142607199
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171109-142607199
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83111
Collection:CaltechAUTHORS
Deposited By: Bonnie Leung
Deposited On:14 Nov 2017 03:49
Last Modified:14 Nov 2017 18:26

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