Device-independent tests of classical and quantum dimensions

Details Device-independent tests of classical and quantum dimensions Device-independent tests of classical and quantum dimensions

2010-10-25

arxiv.org/abs/1010.5064v1

Phys.Rev.Lett.105:230501,2010

Physics

Quantum Physics

To appear in PRL

Scientific paper

10.1103/PhysRevLett.105.230501

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.

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