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Generalized Haah Codes and Fracton Models

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arxiv 1902.04543 v4 pith:TEU7MVXU submitted 2019-02-12 quant-ph

Kevin T. Tian , Zhenghan Wang This is my paper · ORCID
classification quant-ph
keywords grouphaahcodesfinitefractonmodelsqubitssite
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Entanglement renormalization group flow of the Haah cubic code produces another fracton model with 4 qubits per lattice site, dubbed as the Haah B-code. We provide a schema that generalizes both models to stabilizer codes on any finite group with 2q qubits per site and labeled by multi-subsets of the finite group and a symmetric binary matrix.

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Cited by 1 Pith paper

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  1. Anisotropic layer construction of anisotropic fracton models

    cond-mat.str-el 2019-08 accept novelty 5.0 of 10

    A coupled-layer construction from stacked 2D toric codes produces an exactly solvable anisotropic fracton model with lineon and planon excitations.

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