An auxiliary-fermion encoding removes Jordan-Wigner strings for sparse non-local fermion models, achieving asymptotically optimal Trotter circuit depth on qubits after one-time state preparation.
Asymptotic behavior of the chromatic index for hypergraphs.Journal of Combinatorial Theory, Series A, 51(1):24–42
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New constructions of MMS graphs and hypergraphs plus probabilistic results for the Erdős–Rényi model and a blowout method for higher uniformities.
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