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Quantum Algorithms
Haah codes on general three manifolds
arXiv
Authors: Kevin T. Tian, Eric Samperton, Zhenghan Wang
Year
2018
Paper ID
22893
Status
Preprint
Abstract Read
~2 min
Abstract Words
75
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Abstract
Haah codes represent a singularly interesting gapped Hamiltonian schema that has resisted a natural generalization, although recent work shows that the closely related type I fracton models are more commonplace. These type I siblings of Haah codes are better understood, and a generalized topological quantum field theory framework has been proposed. Following the same conceptual framework, we outline a program to generalize Haah codes to all 3-manifolds using Hastings' LR stabilizer codes for finite groups.
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- It adds a 2018 reference point for readers tracking recent quantum research.
- Haah codes represent a singularly interesting gapped Hamiltonian schema that has resisted a natural generalization, although recent work shows that the closely related type I...
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