Certifying Einstein–Podolsky–Rosen steering via equiangular tight frames
Le-Min Lai, Shunlong Luo · Journal of Physics A Mathematical and Theoretical · 2025
Abstract Einstein–Podolsky–Rosen (EPR) steering, as an asymmetric form of nonlocal correlations, is a crucial resource for one-sided device-independent quantum information tasks. Although many methods have been proposed to certify steering, efficient detection of EPR steerable states remains an important and difficult issue, and it is desirable to study it from as many angles as possible. In this work, a class of finite tight frames, equiangular tight frames, are applied to explore the problem of certifying EPR steering, where each frame can be used to construct a positive operator-valued measure. More specifically, based on two different forms of correlation matrices derived from equiangular tight frames, two steerability criteria that are readily computable for arbitrary dimensional bipartite systems are proposed. These criteria are illustrated via several detailed examples and their relative advantage is exhibited in certain cases.