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Scalable Bell Inequalities for Qubit Graph States and Robust Self-Testing.

F Baccari¹, R Augusiak², I Šupić^1,3

¹ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain.

Physical Review Letters

|February 1, 2020

Summary

This summary is machine-generated.

Researchers developed new Bell inequalities to certify quantum states. These inequalities are easier to test experimentally and robust against noise, aiding in the self-testing of complex many-body quantum systems.

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Area of Science:

Quantum Information Theory
Quantum Many-Body Systems

Background:

Bell inequalities are crucial for detecting quantum nonlocality and certifying quantum system properties.
Multiqubit graph states are important resources in quantum information processing.

Purpose of the Study:

To construct novel Bell inequalities tailored for multiqubit graph states.
To enable robust self-testing of these quantum states.

Main Methods:

Development of a general construction for Bell inequalities.
Analysis of inequalities' violation by multiqubit graph states.
Assessment of experimental feasibility and noise tolerance.

Main Results:

The proposed inequalities are maximally violated by multiqubit graph states.
A significant reduction in experimental effort is achieved due to linear scaling of correlations with observers.
Self-testing statements demonstrate noise tolerance compatible with current experimental data.

Conclusions:

The new Bell inequalities offer a practical approach for certifying complex many-body quantum states.
This work paves the way for robust experimental verification of quantum states.
Generalizations to other entangled states are discussed, broadening the applicability.