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Scalable Bell Inequalities for Qubit Graph States and Robust Self-Testing.
F Baccari1, R Augusiak2, I Šupić1,3
1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain.
Physical Review Letters
|February 1, 2020
Summary
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.
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.
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