A short history of frames and quantum designs

Bernhard Bodmann; John Haas

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arXiv · 1709.01958

A short history of frames and quantum designs

Bernhard Bodmann·John Haas

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Abstract

In this survey, we relate frame theory and quantum information theory, focusing on quantum 2-designs. These are arrangements of weighted subspaces which are in a specific sense optimal for quantum state tomography. After a brief introduction, we discuss the role of POVMs in quantum theory, developing the importance of quantum 2-designs. In the final section, we collect many if not most known examples of quantum-2 designs to date.

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Bernhard Bodmann, John Haas. 2017-09-06. A short history of frames and quantum designs. https://arxiv.org/abs/1709.01958

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