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|Title:||Operator valued frames and structured quantum channels|
projective unitary representation
|Source:||Han, D., Li, P., Meng, B., Tang, W. (2011-11). Operator valued frames and structured quantum channels. Science China Mathematics 54 (11) : 2361-2372. ScholarBank@NUS Repository. https://doi.org/10.1007/s11425-011-4292-8|
|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. © 2011 Science China Press and Springer-Verlag Berlin Heidelberg.|
|Source Title:||Science China Mathematics|
|Appears in Collections:||Staff Publications|
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