In the evolution of a quantum system subject to a non linear 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 discuss how dissipation can replace adiabatic evolution in the search of the ground state of a target Hamiltonian and discuss applications to Quantum Annealing.

Dissipative quantum annealing / D. De Falco, E. Pertoso, D. Tamascelli - In: Quantum probability and infinite dimensional analysis : proceedings of the 29th Conference, Hammamet, Tunisia, 13–18 October 2008 / / [a cura di] H. Ouerdiane, A. Barhoumi. - Singapore : World Scientific, 2010. - ISBN 9789814295420. - pp. 288-302 (( Intervento presentato al 29th. convegno Conference on Quantum Probability and Infinite Dimensional Analysis tenutosi a Hammamet, Tunisia nel 2008.

Dissipative quantum annealing

D. De Falco
Primo
;
D. Tamascelli
Ultimo
2010

Abstract

In the evolution of a quantum system subject to a non linear 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 discuss how dissipation can replace adiabatic evolution in the search of the ground state of a target Hamiltonian and discuss applications to Quantum Annealing.
Quantum annealing ; ground-state process ; adiabatic computation ; dissipative dynamics
Settore INF/01 - Informatica
Settore MAT/06 - Probabilita' e Statistica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/139901
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