Minimax and adaptive estimation of the wigner function in quantum homodyne tomography with noisy data

Annals of Statistics

Volumn 35, Issue 2, 2007, Pages 465-494

  Butucea, Cristina ^a,d   Guţǎ, Mǎdǎlin ^b,e   Artiles, Luis ^c,f  

^a UNIVERSITÉ PARIS OUEST NANTERRE LA DÉFENSE   (France)

^b UTRECHT UNIVERSITY   (Netherlands)

^c Eurandom ^*

^d PMA   (France)

^e UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^f EURANDOM   (Netherlands)

Author keywords

Adaptive estimation; Deconvolution; Exact constants in nonparametric smoothing; Infinitely differentiable functions; Minimax risk; Nonparametric estimation; Quantum homodyne tomography; Quantum state; Radon transform; Wigner function

Indexed keywords

EID: 38849107677     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053606000001488     Document Type: Article

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