Circuit complexity of knot states in Chern-Simons theory

Abstract We compute an upper bound on the circuit complexity of quantum states in 3d Chern-Simons theory corresponding to certain classes of knots. Specifically, we deal with states in the torus Hilbert space of Chern-Simons that are the knot complements on the 3-sphere of arbitrary torus knots. The...

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Bibliographic Details
Main Authors: Giancarlo Camilo, Dmitry Melnikov, Fábio Novaes, Andrea Prudenziati
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP07(2019)163