Abstract
Device-independent dimension witnesses (DWs) are a remarkable way to test the dimension of a quantum system in a prepare-and-measure scenario imposing minimal assumptions on the internal features of the devices. However, as the dimension increases, the major obstacle in the realization of DWs arises due to the requirement of many-outcome quantum measurements. In this article we propose a variant of a widely studied communication task (random access code) and take its average payoff as the DW. The presented DW applies to arbitrarily large quantum systems employing only binary-outcome measurements.
- Received 27 March 2018
DOI:https://doi.org/10.1103/PhysRevA.98.062305
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