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We establish that the PhaseLift algorithm recovers pure states from a constant number of full-rank observables with high probability.
Truncations of random unitary matrices and young tableaux
J. Novak · 2007
Earlier work this paper cites.
Talagrands concentration inequality - blog entry
T. Tao · 2009
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Quantum tomography under prior information
T. Heinosaari L. Mazzarella and M.M. Wolf · 2011
Earlier work this paper cites.
Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming
E. Candès T. Strohmer and V. Voroninski · 2011
Cited alongside, same era.
Solving quadratic equations via phaselift when there are about as many equations as unknowns
X. Li E. Candes · 2012
Cited alongside, same era.
Stable optimizationless recovery from phaseless linear measurements
L. Demanet. P. Hand · 2012
Cited alongside, same era.
Wikipedia
Bernstein’s inequality
Cited in the paper.
Short, fat matrices
D. Mixon · 2012
Later among the works it cites.
Determination of all pure quantum states from a minimal number of observables
V. Voroninski. D. Mondragon · 2013
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