Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames
Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames
We affirm the conjectures in [K. Dykema and N. Strawn, Int. J. Pure Appl. Math., 28 (2006), pp. 217--256] by demonstrating the connectivity of spaces of finite unit norm tight frames (FUNTFs). Our central technique involves explicit continuous lifts of paths from the polytope of eigensteps (see [J. Cahill et …