Journal article
Experimental Tests of Classical and Quantum Dimensionality
Johan Ahrens, Piotr Badziag, Marcin Pawlowski, Marek Zukowski, Mohamed Bourennane
PHYSICAL REVIEW LETTERS | AMER PHYSICAL SOC | Published : 2014
Abstract
We report on an experimental test of classical and quantum dimension. We have used a dimension witness that can distinguish between quantum and classical systems of dimensions two, three, and four and performed the experiment for all five cases. The witness we have chosen is a base of semi-device-independent cryptographic and randomness expansion protocols. Therefore, the part of the experiment in which qubits were used is a realization of these protocols. In our work we also present an analytic method for finding the maximum quantum value of the witness along with corresponding measurements and preparations. This method is quite general and can be applied to any linear dimension witness.
Grants
Awarded by NCN
Awarded by Ideas Plus Program MNiSW
Funding Acknowledgements
M. P. would like to thank Ryszard Weinar for discussions and Piotr Mironowicz for supplying the raw data from [10]. J. A., P. B., and M. B. are supported by the Swedish Research Council (VR), the Linnaeus Center of Excellence ADOPT. M. P. is supported by the TEAM program of the Foundation for Polish Science (FNP), UK EPSRC, NCN Grant No. 2013/08/M/ST2/00626, and QUASAR (ERA-NET CHIST-ERA 7FP UE). M. Z. is supported by an Ideas Plus Program MNiSW (IdP2011 000361).