Higher Dimensional Unitary Braid Matrices: Construction, Associated Structures and Entanglements

We construct (2n)^2\times (2n)^2 unitary braid matrices \hat{R} for n\geq 2 generalizing the class known for n=1. A set of (2n)\times (2n) matrices (I,J,K,L) are defined. \hat{R} is expressed in terms of their tensor products (such as K\otimes J), leading to a canonical formulation for all n. Complex projectors P_{\pm}... Show more