Device-independent tests of classical and quantum dimensions
Quantum Physics
2010-12-28 v1
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.
Cite
@article{arxiv.1010.5064,
title = {Device-independent tests of classical and quantum dimensions},
author = {Rodrigo Gallego and Nicolas Brunner and Christopher Hadley and Antonio Acin},
journal= {arXiv preprint arXiv:1010.5064},
year = {2010}
}
Comments
To appear in PRL