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) https://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:

URL	URL Type	Description
http://arxiv.org/abs/1606.07116	arXiv	Discussion Paper

ORCID:

Author	ORCID
Delfosse, Nicolas	0000-0002-3949-981X

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:

Institute for Quantum Information and Matter

Funders:

Funding Agency	Grant Number
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)	UNSPECIFIED
Canadian Institute for Advanced Research (CIFAR)	UNSPECIFIED

DOI:

10.48550/arXiv.1606.07116

Record Number:

CaltechAUTHORS:20171109-142607199

Persistent URL:

https://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:

02 Jun 2023 00:25

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