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    Local Hamiltonians Whose Ground States Are Hard to Approximate by Eldar, Lior, Harrow, Aram W.

    Published 2020
    “…Formally, it provides positive evidence for two wide-open conjectures in condensed-matter physics and quantum complexity theory which are the qLDPC conjecture, positing the existence of good quantum LDPC codes, and the NLTS conjecture due to Freedman and Hastings positing the existence of local Hamiltonians in which any low-energy state is highly-entangled.Our Hamiltonian is based on applying the hypergraph product by Tillich-Zemor to the repetition code with checks from an expander graph. …”
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