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Randomness versus Nonlocality in Multi-input and Multi-output Quantum Scenario by Zhang, Chao; Li, Yi; Hu, Xiao-Min; Xiang, Yu; Li, Chuan-Feng; Guo, Guang-Can; Tura, Jordi; Gong, Qihuang; He, Qiongyi; Liu, Bi-Heng is a scholarly article available to read on EtoBox.

What is Randomness versus Nonlocality in Multi-input and Multi-output Quantum Scenario about?

Device-independent randomness certification based on Bell nonlocality does not require any assumptions about the devices and therefore provides adequate security. Great effort has been made to demonstrate that nonlocality is necessary for generating quantum randomness, but the minimal resource required for random number generation has not been clarified. Here we first prove and experimentally demonstrate that violating any two-input Bell inequality is both necessary and sufficient for certifying randomness, however, for the multi-input cases, this sufficiency ceases to apply, leading to certain states exhibiting Bell nonlocality without the capability to certify randomness. We examine two typical classes of Bell inequalities with multi-input and multi-output, the facet inequalities and Salavrakos-Augusiak-Tura-Wittek-Ac\'in-Pironio Bell inequalities, in the high-dimensional photonic system, and observe the violation of the latter one can always certify randomness which is not true for the former. The private randomness with a generation rate of 1.867\pm0.018 bits per photon pair is obtained in the scenario of Salavrakos-Augusiak-Tura-Wittek-Ac\'in-Pironio Bell inequalities with 3-i

Author

Zhang, Chao; Li, Yi; Hu, Xiao-Min; Xiang, Yu; Li, Chuan-Feng; Guo, Guang-Can; Tura, Jordi; Gong, Qihuang; He, Qiongyi; Liu, Bi-Heng

Published

2024

Language

EN