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2012

Robustness of Device Independent Dimension Witnesses

Dall'Arno, Michele, Passaro, Elsa, Gallego, Rodrigo et al.

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Device independent dimension witnesses provide a lower bound on the dimensionality of classical and quantum systems in a "black box" scenario where only correlations between preparations, measurements and outcomes are considered.

We address the problem of the robustness of dimension witnesses, namely that to witness the dimension of a system or to discriminate between its quantum or classical nature, even in the presence of loss.
We consider the case when shared randomness is allowed between preparations and measurements and we provide a threshold in the detection efficiency such that dimension witnessing can still be performed.

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This is not the case in the hybrid scenario where different types of detectors (e.g. photodetectors and homodyne measurements) are used. A similar scenario was proposed for example in the context of Bell inequalities [ 12 ]
Cited in the paper.
Ll. Masanes, arXiv:quant-ph/0210073
Cited in the paper.
Ll. Masanes, arXiv:quant-ph/0512100
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Then

M. Pawłowski and N. Brunner, Phys. Rev. A 84
2011
Later among the works it cites.
D. Cavalcanti, N. Brunner, P. Skrzypczyk, A. Salles, V. Scarani, Phys. Rev. A 84
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T. Franz, F. Furrer, and R. F. Werner, Phys. Rev. Lett. 106
2011
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M. Hendrych, R. Gallego, M. Mičuda, N. Brunner, A. Acín, and J. P. Torres, Nature Phys. 8
2012
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