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- W1568756917 abstract "Recent insights concerning the PhaseLift algorithm for retrieving phases have furthered our understanding of low rank matrix recovery from rank-one projective measurements. Motivated by the structure of certain quantum mechanical experiments, we introduce a particular class of such rank-one measurements: orthonormal basis measurements. One such measurement corresponds to choosing an orthonormal basis and treating all the rank-one projectors onto different basis elements as a series of consecutive measurement matrices. We elaborate on performing low-rank matrix recovery from few, sufficiently random orthonormal basis measurements and sketch applications of such a procedure in quantum physics. We conclude this article by presenting numerical experiments testing such an approach." @default.
- W1568756917 created "2016-06-24" @default.
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- W1568756917 date "2015-05-01" @default.
- W1568756917 modified "2023-10-16" @default.
- W1568756917 title "Low rank matrix recovery from few orthonormal basis measurements" @default.
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- W1568756917 doi "https://doi.org/10.1109/sampta.2015.7148921" @default.
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