Neural collapse is an emergent phenomenon in deep learning that was recently discovered
by Papyan, Han and Donoho. We propose a simple unconstrained features model in which …

We introduce two families of criteria for detecting and quantifying the entanglement of a
bipartite quantum state of arbitrary local dimension. The first is based on measurements in …

It is often of interest to identify a given number of points in projective space such that the
minimum distance between any two points is as large as possible. Such configurations yield …

An equioverlap** measurement is a rank-one POVM with the same overlap between any
pair of its measurement operators. A symmetric informationally complete POVM (SIC-POVM) …

We propose a new signal spreading-based non-orthogonal multiple access (NOMA)
schemes that exploits the frame-theoretic design principles to enable the efficient …

Contrastive learning has emerged as a prominent branch of self-supervised learning for
several years. Especially, CLIP, which applies contrastive learning to large sets of captioned …

Equiangular tight frames provide optimal packings of lines through the origin. We combine
Steiner triple systems with Hadamard matrices to produce a new infinite family of …

An equiangular tight frame (ETF) is a set of equal norm vectors in a Euclidean space whose
coherence is as small as possible, equaling the Welch bound. Also known as Welch-bound …