Reshaping quantum annealing landscapes with diagonal catalysts
Andrés N. Cáliz, Carlos Ramon-Escandell, Finnley Paolella, Josep Bosch, Jan Nogué, Arnau Riera, Jordi Riu
Abstract
Quantum annealing is often limited by population trapped in local minima many spin flips from the solution. We introduce a mathematical framework to understand the connection between energy and Hamming distance in optimization problems. Using this, we build ZZ-catalysts from ground-state patterns of small frustration-free subproblems that make configurations far from the solution less energetically competitive. On sparse problems they multiply the near-solution probability at short sweeps, with gains persisting on fully-connected models and tunable via subproblem choice.
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