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.

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• Relation between semi- and fully-device-independent protocols

Cited by in corpus (6)

• A Comprehensive Review of Quantum Random Number Generators: Concepts, Classification and the Origin of Randomness
• Semidefinite programming relaxations for quantum correlations
• Device-independent bounds from Cabello's nonlocality argument
• Tilted Hardy paradoxes for device-independent randomness extraction
• Experimental implementation of Hardy-like quantum pigeonhole paradoxes
• The Hardy's nonlocality argument