Quantum annealing and thermalization: insights from integrability

ORAL

Abstract

We solve a model that has basic features that {are desired for quantum annealing computations: entanglement in the ground state,} controllable annealing speed, ground state energy separated by a gap during the whole evolution, and programmable computational problem that is encoded by parameters of the Ising part of the spin Hamiltonian. Our solution enables exact nonperturbative characterization of final nonadiabatic excitations, including scaling of their number with the annealing rate and the system size.

*Support of DOE at LANL with Contract No. DE-AC52-06NA25396 (N.A.S. and F. Li); NSF Grant No. CHE-1111350 (V.Y.C.); LDRD program at LANL

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Presenters

  • Fuxiang Li

    • School of Physics and Electronics, Hunan University

Authors

  • Fuxiang Li

    • School of Physics and Electronics, Hunan University

  • Nikolai Sinitsyn

    • Theoretical Division, Los Alamos National Laboratory
    • Theoretical division, Los Alamos National Lab
    • Los Alamos National Laborary

  • Vladimir Y Chernyak

    • Department of Chemistry and Department of Mathematics, Wayne State University