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» Optimal tight frames and quantum measurement
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TIT
2002
72views more  TIT 2002»
13 years 4 months ago
Optimal tight frames and quantum measurement
Tight frames and rank-one quantum measurements are shown to be intimately related. In fact, the family of normalized tight frames for the space in which a quantum-mechanical system...
Yonina C. Eldar, G. David Forney Jr.
CISS
2008
IEEE
13 years 11 months ago
Fusion frames and robust dimension reduction
Abstract— We consider the linear minimum meansquared error (LMMSE) estimation of a random vector of interest from its fusion frame measurements in presence noise and subspace era...
Ali Pezeshki, Gitta Kutyniok, A. Robert Calderbank
CORR
2010
Springer
136views Education» more  CORR 2010»
13 years 4 months ago
Optimally Sparse Frames
Frames have established themselves as a means to derive redundant, yet stable decompositions of a signal for analysis or transmission, while also promoting sparse expansions. Howe...
Peter G. Casazza, Andreas Heinecke, Felix Krahmer,...
ICASSP
2011
IEEE
12 years 8 months ago
Additive character sequences with small alphabets for compressed sensing matrices
Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this paper, a K × N measurement matrix for compressed sensing ...
Nam Yul Yu
COCO
2004
Springer
118views Algorithms» more  COCO 2004»
13 years 10 months ago
Towards the Classical Communication Complexity of Entanglement Distillation Protocols with Incomplete Information
Entanglement is an essential resource for quantum communication and quantum computation, similar to shared random bits in the classical world. Entanglement distillation extracts n...
Andris Ambainis, Ke Yang