Bounding the quantum dimension with contextuality
Quantum Physics
2014-06-12 v2
Abstract
We show that the phenomenon of quantum contextuality can be used to certify lower bounds on the dimension accessed by the measurement devices. To prove this, we derive bounds for different dimensions and scenarios of the simplest noncontextuality inequalities. The resulting dimension witnesses work independently of the prepared quantum state. Our constructions are robust against noise and imperfections, and we show that a recent experiment can be viewed as an implementation of a state-independent quantum dimension witness.
Cite
@article{arxiv.1302.2266,
title = {Bounding the quantum dimension with contextuality},
author = {Otfried Gühne and Costantino Budroni and Adan Cabello and Matthias Kleinmann and Jan-Åke Larsson},
journal= {arXiv preprint arXiv:1302.2266},
year = {2014}
}
Comments
12 pages, no figures