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2010

Device-independent tests of classical and quantum dimensions

Gallego, Rodrigo, Brunner, Nicolas, Hadley, Christopher et al.

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We address the problem of testing the dimensionality of classical and quantum systems in a `black-box' scenario.

We develop a general formalism for tackling this problem.
This allows us to derive lower bounds on the classical dimension necessary to reproduce given measurement data.
Furthermore, we generalise the concept of quantum dimension witnesses to arbitrary quantum systems, allowing one to place a lower bound on the Hilbert space dimension necessary to reproduce certain data.

Device-independent tests of classical and quantum dimensions · Around

Built on

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2002
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N. Brunner, S. Pironio, A. Acín, N. Gisin, A. Méthot, and V. Scarani, Phys. Rev. Lett. 100
2008
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D. Perez-Garcia, M.M. Wolf, C. Palazuelos, I. Villanueva, and M. Junge , Comm. Math. Phys. 279
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T. Vértesi and K. Pál, Phys. Rev. A 77
2008
Earlier work this paper cites.

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Original
Cited in the paper.
R. Gallego, N. Brunner, C. Hadley, and A. Acín, in preparation
Cited in the paper.
Ll. Masanes, arXiv:quant-ph/0512100
Cited in the paper.

Then

M.M. Wolf and D. Perez-García, Phys. Rev. Lett. 102
2009
Later among the works it cites.
E.F. Galvao, Phys. Rev. A 80
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Later among the works it cites.
T. Vértesi, S. Pironio, and N. Brunner, Phys. Rev. Lett. 104
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Closest in time.
M. Junge, C. Palazuelos, D. Perez-Garcia, I. Villanueva, and M.M. Wolf, Phys. Rev. Lett. 104
2010
Closest in time.

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