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- Title
Identification of Quantum Injective Dual Frames on Rn.
- Authors
Razghandi, Atefe; Moghaddam, Elahe Agheshteh; Arefijamaal, Ali Akbar
- Abstract
The quantum injectivity problem classifies frames which are injective with respect to self-adjoint Hilbert-Schmidt operators. In this paper, we aim to analyze quantum injective frames in terms of the excess of frame elements in R n . Especially, we investigate the connection between the injectivity, full spark and phase retrieval frames. In addition, we detect injective (alternate) dual frames and show that the family of quantum injective dual frames is open and dense in the set of all dual frames. Finally, the stability of quantum injective frames will be addressed.
- Subjects
SELFADJOINT operators; QUANTUM phase transitions
- Publication
Bulletin of the Iranian Mathematical Society, 2024, Vol 50, Issue 4, p1
- ISSN
1018-6301
- Publication type
Article
- DOI
10.1007/s41980-024-00886-9