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Bounding the Sets of Classical and Quantum Correlations in Networks
Alejandro Pozas-Kerstjens1, Rafael Rabelo2, Łukasz Rudnicki3,4,5
1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain.
Physical Review Letters
|November 9, 2019
Summary
We developed a new method to study quantum correlations in complex networks, like entanglement swapping. This technique identifies correlations impossible in standard scenarios and shows how to activate non-local measurement power in networks.
Area of Science:
- Quantum Information Science
- Quantum Network Analysis
- Foundations of Quantum Mechanics
Background:
- Studying quantum correlations in complex networks is challenging.
- Entanglement swapping is a key quantum network scenario.
- Existing methods struggle with causally independent parties.
Purpose of the Study:
- To present a novel method for analyzing classical and quantum correlations in complex quantum networks.
- To adapt the Navascués-Pironio-Acín hierarchy for network scenarios.
- To investigate the activation of non-local correlations in entanglement swapping.
Main Methods:
- Relaxation of factorization constraints compatible with semidefinite programming.
- Application of the Navascués-Pironio-Acín hierarchy to quantum networks.
- Analysis of correlations in entanglement swapping configurations.
Main Results:
- The method successfully identifies correlations unattainable in standard entanglement swapping.
- Demonstration that non-local correlations can be activated in quantum networks.
- Identification of specific measurement devices that exhibit classical-quantum separation in network settings.
Conclusions:
- The developed method provides a powerful tool for studying quantum correlations in complex networks.
- Non-local correlations can be achieved in entanglement swapping scenarios with specific measurement devices.
- This work advances the understanding of quantum correlations and non-locality in networked quantum systems.
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