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06.85.+o Quantum operator discrimination/reconstruction

Improving compressed sensing with the diamond norm

Mon, 2016-06-20 10:56 - Martin Kliesch
Date: 
2015-11-01 - 2016-06-20
Author(s): 

Martin Kliesch, Richard Kueng, Jens Eisert, David Gross

Reference: 

arXiv:1511.01513

URL: 

http://arxiv.org/abs/1511.01513

In low-rank matrix recovery, one aims to reconstruct a low-rank matrix from a minimal number of linear measurements. Within the paradigm of compressed sensing, this is made computationally efficient by minimizing the nuclear norm as a convex surrogate for rank. In this work, we identify an improved regularizer based on the so-called diamond norm, a concept imported from quantum information theory.

Reliable quantum certification of photonic state preparations

Wed, 2016-06-01 18:37 - Gemma De las Cuevas
Date: 
2015-11-18
Author(s): 

L. Aolita, C. Gogolin, M. Kliesch, J. Eisert

Reference: 

Nature Communications 6:8498 (2015)

URL: 

http://www.nature.com/ncomms/2015/151118/ncomms9498/full/ncomms9498.html

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