Z Xu, G Hong, Z Guo, J Zhang - Mathematics, 2024 - mdpi.com
A quantum injective frame is a frame capable of differentiating states based on their respective frame measurements, whereas the quantum-detection problem associated with …
Quaternionic Hilbert spaces play an important role in applied physical sciences especially in quantum physics. In this paper, the operator valued frames on quaternionic Hilbert spaces …
Trace class operators for quaternionic Hilbert spaces (QHS) were studied by Moretti and Oppio [18]. In this paper, we study trace class operators via operator valued frames (OPV …
SK Sharma, N Sharma, KT Poumai - Journal of Mathematics, 2021 - Wiley Online Library
In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under …
In this paper, we introduce and study frame of operators in quaternionic Hilbert spaces as a generalization of g frames which in turn generalized various notions like Pseduo frames …
SK Sharma, G Singh, S Sahu - arXiv preprint arXiv:1803.05773, 2018 - arxiv.org
Frames in a separable quaternionic Hilbert space were introduced and studied in [17] to have more applications. In this paper, we extend the study of frames in quaternionic Hilbert …
YL Fu, W Zhang - AIMS Mathematics, 2023 - aimspress.com
Quaternionic Hilbert (Q-Hilbert) spaces are frequently used in applied physical sciences and especially in quantum physics. In order to solve some problems of many nonlinear physical …
Quaternionic Hilbert space has received great attention in the research of quantum physics. The duality and sum of frames are hot issues in frame theory. In this paper, We firstly …