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.
(F2) On a d−regular graph d ≤ χ ≤ d + 1 (see Appendix C 3), thus we need at most ν = ⌈(d + 1)/2⌉ ancillary fermions per site
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Efficient Simulation of Sparse, Non-Local Fermion Models
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.