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Center for Nonlinear Studies |
The implementation of adiabatic protocols is often unfeasible or impractical. This motivates the study of intrinsically nonadiabatic quantum annealing schemes. To this end, heuristics derived from the Kibble-Zurek mechanism proves useful. Exploiting it, in the first part of the talk I derive a universal optimal stopping time for adiabatic quantum annealing in the presence of noise-induced stochastic Hamiltonian fluctuations. In the second part, I introduce a new class of algorithms that use spatial and temporal inhomogeneous protocols to drive strongly disordered quantum spin systems and minimize the residual energy of the final state.
Host: Rolando Somma