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arXiv · 1111.1450

Positive Operator Valued Measures: A General Setting for Frames

Bill Moran·Stephen Howard·Doug Cochran
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Abstract

This paper presents an overview of close parallels that exist between the theory of positive operator-valued measures (POVMs) associated with a separable Hilbert space and the theory of frames on that space, including its most important generalizations. The concept of a framed POVM is introduced, and classical frames, fusion frames, generalized frames, and other variants of frames are all shown to to arise as framed POVMs. This observation allows drawing on a rich existing theory of POVMs to provide new perspectives in the study of frames.

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Bill Moran, Stephen Howard, Doug Cochran. 2011-11-06. Positive Operator Valued Measures: A General Setting for Frames. https://arxiv.org/abs/1111.1450

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