Journal
NEW JOURNAL OF PHYSICS
Volume 13, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/13/5/053039
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Funding
- ARC via the Centre of Excellence in Engineered Quantum Systems (EQuS) [CE110001013]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
- NSA/ARO [W911NF-09-1-0442]
- NSF [PHY-0803371]
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We present here a procedure to obtain the Hamiltonians of the toric code and Kitaev quantum double models as the low-energy limits of entirely two-body Hamiltonians. Our construction makes use of a new type of perturbation gadget based on error-detecting subsystem codes. The procedure is motivated by a projected entangled pair states (PEPS) description of the target models, and reproduces the target models' behavior using only couplings that are natural in terms of the original Hamiltonians. This allows our construction to capture the symmetries of the target models.
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