Robust self-testing of quantum systems via noncontextuality inequalities

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 int...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2019-06
Main Authors: Bharti, Kishor, Maharshi Ray, Varvitsiotis, Antonios, Naqueeb Ahmad Warsi, Cabello, Adán, Leong-Chuan Kwek
Format: Article
Language:English
Subjects:
Compatibility
Data processing
Graph theory
Inequalities
Mathematical programming
Quantum phenomena
Quantum theory
Self testing
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1812.07265