We show, in the context of quantum combinatorial optimization, or quantum annealing, how the nonlinear Schrödinger-Langevin-Kostin equation can dynamically drive the system toward its ground state. We illustrate, moreover, how a frictional force of Kostin type can prevent the appearance of genuinely quantum problems such as Bloch oscillations and Anderson localization which would hinder an exhaustive search.
Quantum annealing and the Schrödinger-Langevin-Kostin equation / D. De Falco, D. Tamascelli. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 79:1(2009 Jan 15), p. 012315.012315.
Quantum annealing and the Schrödinger-Langevin-Kostin equation
D. De FalcoPrimo
;D. TamascelliUltimo
2009
Abstract
We show, in the context of quantum combinatorial optimization, or quantum annealing, how the nonlinear Schrödinger-Langevin-Kostin equation can dynamically drive the system toward its ground state. We illustrate, moreover, how a frictional force of Kostin type can prevent the appearance of genuinely quantum problems such as Bloch oscillations and Anderson localization which would hinder an exhaustive search.
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