Published June 22, 2016
| Submitted
Discussion Paper
Open
Generalized surface codes and packing of logical qubits
Chicago
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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.
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.Attached Files
Submitted - 1606.07116.pdf
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Additional details
- Eprint ID
- 83111
- Resolver ID
- CaltechAUTHORS:20171109-142607199
- Army Research Office (ARO)
- W911NF-14-1-0272
- NSF
- PHY-1416578
- NSF
- PHY-1125565
- Gordon and Betty Moore Foundation
- GBMF-2644
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Canadian Institute for Advanced Research (CIFAR)
- Created
-
2017-11-14Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter