Operator valued frames and structured quantum channels

    Authors

    D. G. Han; P. T. Li; B. Meng;W. S. Tang

    Comments

    Authors: contact us about adding a copy of your work at [email protected]

    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

    WOS:000296637700007

    ISSN

    1674-7283

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