Device and semi-device independent random numbers based on non-inequality paradox
Abstract
In this work, we propose device independent true random numbers generation protocols based on non-inequality paradoxes such as Hardy's and Cabello's non-locality argument. The efficiency of generating randomness in our protocols are far better than any other proposed protocols certified by CHSH inequality or other non-locality test involving inequalities. Thus, highlighting non-inequality paradox as an important resource for device independent quantum information processing in particular generating true randomness. As a byproduct, we find that the non-local bound of the Cabello's argument with arbitrary dimension is the same as the one achieved in the qubits system. More interestingly, we propose a new dimension witness paradox based on the Cabello's argument, which can be used for constructing semi-device-independent true random numbers generation protocol.
Keywords
Cite
@article{arxiv.1402.1850,
title = {Device and semi-device independent random numbers based on non-inequality paradox},
author = {Hong-Wei Li and Marcin Pawlowski and Ramij Rahaman and Guang-Can Guo and Zheng-Fu Han},
journal= {arXiv preprint arXiv:1402.1850},
year = {2015}
}