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arXiv:1812.02101quant-ph

Haah codes on general three manifolds

Kevin T. Tian, Eric Samperton, Zhenghan Wang

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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.

arXiv comments
To appear in Ann. Physics
Journal reference
Ann. Phys. (2020), Volume 412, 168014
DOI
doi:10.1016/j.aop.2019.168014
Subjects
quant-phQuantum Physics math-phMathematical Physics

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  1. Fractons, the ‘weirdest’ matter, could yield quantum clues 1 comment

    • >"It means fractons’ microscopic structure influences their behavior over long distances." PDS: Sounds to me like yet another Bell's Theorem, "Spooky action at a distance", possible FTL candidate... [...] >"Using a computer algorithm, he turned up a new theoretical phase that…

      peter_d_shermanView on HNParent context

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