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Finite Operator-Valued Frames | | Bin Meng
; | | Date: |
27 Sep 2010 | | 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 ${V_j}_{j=1}^m$
with given frame operator $S$ and satisfying $V_jV_j^*=alpha_jI$, where
$alpha_j’s$ are positive numbers. | | Source: | arXiv, 1009.5275 | | Services: | Forum | Review | PDF | Favorites | |
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