Title

Operator Valued Frames And Structured Quantum Channels

Keywords

operator-valued frames; Parseval duals; projective unitary representation; quantum channels

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.

Publication Date

11-1-2011

Publication Title

Science China Mathematics

Volume

54

Issue

11

Number of Pages

2361-2372

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11425-011-4292-8

Socpus ID

80455128522 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/80455128522

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