In the evolution of a quantum system subject to a nonlinear dissipative term of Kostin type the probability amplitudes associated to excited states of the Hamiltonian are damped; this results in a dynamic convergence toward the ground state. In this paper we dicuss how dissipation can replace adiabatic evolution in the search of the ground state of a target Hamiltonian and discuss applications to Quantum Annealing.
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Dipartimento di Ingegneria dell’Informazione, Università di Padova, via Gradenigo 6/B, PadovaDipartimento di Ingegneria dell’Informazione, Università di Padova, via Gradenigo 6/B, Padova
Baggio G.
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Ticozzi F.
Johnson P.D.
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Zapata Computing, Inc., 501 Massachusetts Avenue, Cambridge, 02139, MADipartimento di Ingegneria dell’Informazione, Università di Padova, via Gradenigo 6/B, Padova
Johnson P.D.
Viola L.
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Department of Physics and Astronomy, Dartmouth College 6127 Wilder Laboratory, Hanover, 03755, NHDipartimento di Ingegneria dell’Informazione, Università di Padova, via Gradenigo 6/B, Padova