2013/02/28 by Otfried Gühne, Costantino Budroni, Adan Cabello +2 · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.89.062107
published as Phys. Rev. A 89, 062107 (2014) · 12 pages, no figures
arxiv created 2014/06/11 · arxiv updated 2014/06/12
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.