Glauber dynamics for RFIM on bounded-degree graphs mixes in polynomial time w.h.p. under anti-concentrated random fields, with MLSI and weak Poincaré inequalities also established.
Levin, Yuval Peres, and Elizabeth L
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Glauber dynamics for random field Ising models on bounded degree graphs and MLSI
Glauber dynamics for RFIM on bounded-degree graphs mixes in polynomial time w.h.p. under anti-concentrated random fields, with MLSI and weak Poincaré inequalities also established.
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Finite-Depth, Finite-Shot Guarantees for Constrained Quantum Optimization via Fej\'er Filtering
CE-QAOA with finite layers achieves dimension-free success probability bounds q0 ≥ x/(1+x) via Fejér filtering under a wrapped phase-separation condition.