Topological structure of projective Hilbert spaces associated with phase retrieval vectors (2408.05317v2)

Abstract: In this paper, we explore the interplay between topological structures and phase retrieval in the context of projective Hilbert spaces. This work provides not only a deeper understanding and a new classification of the phase retrieval property in Hilbert spaces but also a way for further investigations into the topological underpinnings of quantum states.