Finite Operator-Valued Frames
Functional Analysis
2010-09-28 v1
Abstract
Operator-valued frames are natural generalization of frames that have been used in quantum computing, packets encoding, etc. In this paper, we focus on developing the theory about operator-valued frames for finite Hilbert spaces. Some results concerning dilation, alternate dual, and existence of operator-valued frames are given. Then we characterize the optimal operator-valued frames under the case which one packet of data is lost in transmission. At last we construct the operator-valued frames with given frame operator and satisfying , where are positive numbers.
Cite
@article{arxiv.1009.5275,
title = {Finite Operator-Valued Frames},
author = {Bin Meng},
journal= {arXiv preprint arXiv:1009.5275},
year = {2010}
}