Robust self-testing of quantum systems via noncontextuality Inequalities

Characterizing 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 noncontextuality inequalities. Our work leverages the graph-theoretic framework for contextuality intr...

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Bibliographic Details
Authors: Bharti, Kishor, Ray, Maharshi, Varvitsiotis, Antonios, Warsi, Naqueeb Ahmad, Cabello Quintero, Adán, Kwek, Leong Chuan
Format: article
Status:Published version
Publication Date:2019
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/153125
Online Access:https://hdl.handle.net/11441/153125
https://doi.org/10.1103/PhysRevLett.122.250403
Access Level:Open access
Keyword:Quantum systems
Noncontextuality inequalities
Quantum information processing
Description
Summary:Characterizing 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 noncontextuality inequalities. Our work leverages the graph-theoretic framework for contextuality introduced by Cabello, Severini, and Winter, combined with tools from mathematical optimization that guarantee the unicity of optimal solutions. As an application, we show that the celebrated Klyachko-Can-Binicioğlu-Shumovsky inequality and its generalization to contextuality scenarios with odd n-cycle compatibility relations admit robust self-testing.