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Nonlinear Systems for Unconventional Computing

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Book cover Emerging Frontiers in Nonlinear Science

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 32))

Abstract

The search for new computational machines beyond the traditional von Neumann architecture has given rise to a modern area of nonlinear science—development of unconventional computing—requiring the efforts of mathematicians, physicists and engineers. Many analogue physical systems including nonlinear oscillator networks, lasers, and condensates were proposed and realised to address hard computational problems from various areas of social and physical sciences and technology. The analogue systems emulate spin Hamiltonians with continuous or discrete degrees of freedom to which actual optimisation problems can be mapped. Understanding of the underlying physical process by which the system finds the ground state often leads to new classes of system-inspired or quantum-inspired algorithms for hard optimisation. Together physical platforms and related algorithms can be combined to form a hybrid architecture that may one day compete with conventional computing. In this chapter, we review some of the systems and physically-inspired algorithms that show such promise.

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Authors and Affiliations

  1. University of Cambridge, Cambridge, CB3 0WA, United Kingdom

    Kirill P. Kalinin & Natalia G. Berloff

  2. Skolkovo Institute of Science and Technology Russian Federation, Bolshoy Boulevard 30, bld. 1, 121205, Moscow, Russia

    Natalia G. Berloff

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  1. Kirill P. Kalinin
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Correspondence to Natalia G. Berloff .

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Editors and Affiliations

  1. Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, USA

    Panayotis G. Kevrekidis

  2. Grupo de Fisica No Lineal, Departamento de Fisica Aplicada I, Escuela Politécnica Superior, Universidad de Sevilla, Seville, Spain

    Jesús Cuevas-Maraver

  3. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA

    Avadh Saxena

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Kalinin, K.P., Berloff, N.G. (2020). Nonlinear Systems for Unconventional Computing. In: Kevrekidis, P., Cuevas-Maraver, J., Saxena, A. (eds) Emerging Frontiers in Nonlinear Science. Nonlinear Systems and Complexity, vol 32. Springer, Cham. https://doi.org/10.1007/978-3-030-44992-6_15

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