A fermionic permutation protocol on 2D nearest-neighbor grids achieves the optimal O(sqrt(N)) depth with O(N sqrt(N)) gates, no ancillas, and extends to Jordan-Wigner, Bravyi-Kitaev, and Parity encodings via Hilbert-curve layout.
Quantum algorithms to simulate many-body physics of correlated fermions
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A gate-based adiabatic quantum simulation framework for the SSHH model, validated by classical circuit simulations, shows topological signatures remain robust to weak Hubbard interactions but collapse beyond a symmetry-breaking threshold, with polynomial resource scaling.
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Adiabatic Quantum Simulation of the Topological Su--Schrieffer--Heeger--Hubbard Model
A gate-based adiabatic quantum simulation framework for the SSHH model, validated by classical circuit simulations, shows topological signatures remain robust to weak Hubbard interactions but collapse beyond a symmetry-breaking threshold, with polynomial resource scaling.