Device-independent tests of classical and quantum dimensions

2010/10/25 by Rodrigo Gallego, Nicolas Brunner, Christopher Hadley +1 · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.105.230501

published as Phys.Rev.Lett.105:230501,2010 · To appear in PRL

arxiv created 2010/10/25 · arxiv updated 2010/12/28

Abstract

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. Illustrating these ideas, we provide simple examples of classical and quantum dimension witnesses.

Cited by

• Improving device-independent quantum key distribution protocols through multiple routed Bell tests
• Revealing hidden nonlocality and preparation contextuality for an arbitrary input Bell inequality

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