Title
Operator valued frames and structured quantum channels
Abbreviated Journal Title
Sci. China-Math.
Keywords
operator-valued frames; quantum channels; Parseval duals; projective; unitary representation; GABOR FRAMES; REPRESENTATIONS; ERASURES; SYSTEMS; DUALS; Mathematics, Applied; Mathematics
Abstract
Operator-valued frames are natural generalization of frames that have been used in many applied areas such as quantum computing, packets encoding and sensor networks. We focus on developing the theory about operator-valued frame generators for projective unitary representations of finite or countable groups which can be viewed as the theory of quantum channels with group structures. We present new results for operator-valued frames concerning (general and structured) dilation property, orthogonal frames, frame representation and dual frames. Our results are complementary to some of the recent work of Kaftal, Larson and Zhang, and in some cases our treatment is more elementary and transparent.
Journal Title
Science China-Mathematics
Volume
54
Issue/Number
11
Publication Date
1-1-2011
Document Type
Article
Language
English
First Page
2361
Last Page
2372
WOS Identifier
ISSN
1674-7283
Recommended Citation
"Operator valued frames and structured quantum channels" (2011). Faculty Bibliography 2010s. 1353.
https://stars.library.ucf.edu/facultybib2010/1353
Comments
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