We describe a flexible technique that constructs tight fusion frames with prescribed transitive
symmetry. Applying this technique with representations of the symmetric and alternating …

An equi-isoclinic tight fusion frame (EITFF) is a type of Grassmannian code, being a
sequence of subspaces of a finite-dimensional Hilbert space of a given dimension with the …

We consider the following questions: when do there exist quaternionic frames with given
frame spectrum and given frame vector norms? When such frames exist, is it always …

In this paper, we prove the existence of a spherical t-design formed by adding extra points to
an arbitrarily given point set on the sphere and, subsequently, deduce the existence of …

Consider the fundamental problem of arranging r-dimensional subspaces of R d in such a
way that maximizes the minimum distance between unit vectors in different subspaces. It is …

An equichordal tight fusion frame (ECTFF) is a finite sequence of equi-dimensional
subspaces of a finite-dimensional Hilbert space that achieves equality in Conway, Hardin …

arxiv:2501.14938v1 [math.FA] 24 Jan 2025 Nearly tight weighted 2-designs in complex
projective spaces of every dimension Page 1 arxiv:2501.14938v1 [math.FA] 24 Jan 2025 Nearly …

In a recent paper by S. Pandey, V. Paulsen, J. Prakash, and M. Rahaman, the authors
studied the entanglement breaking quantum channels $\Phi_t:\mathbb {C}^{d\times …