Phase-retrievable operator-valued frames and representations of quantum channels

Completely positive linear maps on complex matrices

Man-Duen Choi · Linear Algebra and its Applications · 1975 · 2.6K citations

Spectral Theory, Linear Operator, Matrix Theory +2

PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming

Emmanuel J. Candès, Thomas Strohmer, Vladislav Voroninski · Communications on Pure and Applied Mathematics · 2012 · 1.2K citations

Mathematical Programming, Spectral Theory, Engineering +18

On signal reconstruction without phase

Radu Bălan, Pete Casazza, Dan Edidin · Applied and Computational Harmonic Analysis · 2005 · 596 citations

Engineering, Compressive Sensing, Biomedical Imaging +4

Frames, bases and group representations

Deguang Han, David R. Larson · Memoirs of the American Mathematical Society · 2000 · 539 citations

Geometric Group Theory, Gabor Expansion, Representation Theory +11

Saving phase: Injectivity and stability for phase retrieval

Afonso S. Bandeira, Jameson Cahill, Dustin G. Mixon et al. · Applied and Computational Harmonic Analysis · 2013 · 308 citations

Engineering, Physics, Microscopy +6