Robust self-testing of quantum systems via noncontextuality inequalities
Quantum Physics
2019-07-03 v3
Abstract
Characterising unknown quantum states and measurements is a fundamental problem in quantum information processing. In this Letter, we provide a novel scheme to self-test local quantum systems using non-contextuality inequalities. Our work leverages the graph-theoretic framework for contextuality introduced by Cabello, Severini, and Winter, combined with tools from mathematical optimisation that guarantee the unicity of optimal solutions. As an application, we show that the celebrated Klyachko-Can-Biniciogglu-Shumovsky inequality and its generalisation to contextuality scenarios with odd n-cycle compatibility relations admit robust self-testing.
Cite
@article{arxiv.1812.07265,
title = {Robust self-testing of quantum systems via noncontextuality inequalities},
author = {Kishor Bharti and Maharshi Ray and Antonios Varvitsiotis and Naqueeb Ahmad Warsi and Adán Cabello and Leong-Chuan Kwek},
journal= {arXiv preprint arXiv:1812.07265},
year = {2019}
}
Comments
Manuscript accepted in Physical Review Letter