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The anyon’s knotted paths and M. Kontsevich integral

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în volumul unei conferinţe

Autori: Viorel Laurenţiu CARTAȘ, Ioan ZAHARIE

Editorial: AIP-TIM 11, 1472, p.17-24, 2012.


In this paper the topological quantum computing theory based on the evolution of the anyons in 2+1 space-time is presented. The Kontsevich integrals are used as significant tools in analysing the behaviour of anyons which obey parastatistics. There are polynomial invariants describing the knotted 2+1 dimensional space-time trajectories of the anyons and the present work tries to put all these into an adequate frame.

Cuvinte cheie: anyons, integral equations, polynomials, quantum computing, quantum entanglement, space-time configurations