English

Topological structure of projective Hilbert spaces associated with phase retrieval vectors

General Topology 2024-08-21 v2

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.

Cite

@article{arxiv.2408.05317,
  title  = {Topological structure of projective Hilbert spaces associated with phase retrieval vectors},
  author = {Fahimeh Arabyani Neyshaburi and Ali Akbar Arefijamaal and Ghadir Sadeghi},
  journal= {arXiv preprint arXiv:2408.05317},
  year   = {2024}
}