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Networks of non-equilibrium condensates for global optimization

Published version
Peer-reviewed

Type

Article

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Authors

Berloff, NG 

Abstract

Recently several gain-dissipative platforms based on the networks of optical parametric oscillators, lasers and various non-equilibrium Bose-Einstein condensates have been proposed and realised as analogue Hamiltonian simulators for solving large-scale hard optimisation problems. However, in these realisations the parameters of the problem depend on the node occupancies that are not {\it a priory} known, which limits the applicability of the gain-dissipative simulators to the classes of problems easily solvable by classical computations. We show how to overcome this difficulty and formulate the principles of operation of such simulators for solving the NP-hard large-scale optimisation problems such as constant modulus continuous quadratic optimisation and quadratic binary optimisation for any general matrix. To solve such problems any gain-dissipative simulator has to implement a feedback mechanism for the dynamical adjustment of the gain and coupling strengths.

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Keywords

Journal Title

New Journal of Physics

Conference Name

Journal ISSN

1367-2630

Volume Title

Publisher

Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft
Sponsorship
NGP MIT-Skoltech, EPSRC, Cambridge Trust
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