2 citations · 2 across the 3 of their papers we have counts for
4 papers
Topological Quantum Teleportation and Superdense Coding -- Without Braiding
Sachin J. Valera
We present the teleportation and superdense coding protocols for a family of anyon theories coming from Tambara-Yamagami categories, of which the lowest rank theories describe Isin…
Skein-Theoretic Methods for Unitary Fusion Categories
Anup Poudel, Sachin J. Valera
Unitary fusion categories (UFCs) have gained increased attention due to emerging connections with quantum physics. We consider a fusion rule of the form $q\otimes q \cong \mathbf{1…
Fusion Structure from Exchange Symmetry in (2+1)-Dimensions
Sachin J. Valera
Until recently, a careful derivation of the fusion structure of anyons from some underlying physical principles has been lacking. In [Shi et al., Ann. Phys., 418 (2020)], the autho…
Anyons and the HOMFLY Skein Algebra
Sachin J. Valera
We give an exposition of how the Kauffman bracket arises for certain systems of anyons, and do so outside the usual arena of Temperley-Lieb-Jones categories. This is further elucid…