Rigorous proof that appropriate quantum annealing avoids quantum first-order transitions in transverse magnetization for all finite-dimensional spin systems.
Physical review letters 104(20), 207206 (2010)
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Proof of avoidability of the quantum first-order transition in transverse magnetization in quantum annealing of finite-dimensional spin glasses
Rigorous proof that appropriate quantum annealing avoids quantum first-order transitions in transverse magnetization for all finite-dimensional spin systems.