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Quantum Nonlocality in Any Forked Tree-Shaped Network.

Lihua Yang1,2, Xiaofei Qi1, Jinchuan Hou3

  • 1School of Mathematical Science, Shanxi University, Taiyuan 030006, China.

Entropy (Basel, Switzerland)
|May 28, 2022
PubMed
Summary
This summary is machine-generated.

This study examines quantum network nonlocality in forked tree structures. Bell-type inequalities are derived, showing limits for (tn-1)-local and local correlations in these networks.

Keywords:
Bell inequalitynonlocalityquantum correlationquantum network

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Area of Science:

  • Quantum Information Science
  • Quantum Network Theory
  • Quantum Communication

Background:

  • Quantum networks are crucial for long-distance quantum communications.
  • Nonlocality is a key feature for secure quantum information processing.
  • Previous research has explored nonlocality in various network topologies.

Purpose of the Study:

  • To investigate the nonlocality of forked tree-shaped quantum networks.
  • To derive Bell-type inequalities for these specific network structures.
  • To analyze the maximal quantum violations and noise robustness.

Main Methods:

  • Consideration of forked tree-shaped quantum networks.
  • Derivation of Bell-type inequalities applicable to (tn-1)-local and local correlations.
  • Analysis of quantum violations and robustness against noise.

Main Results:

  • Bell-type inequalities were obtained for forked tree networks.
  • These inequalities are satisfied by (tn-1)-local and local correlations.
  • Maximal quantum violations and noise robustness were discussed.

Conclusions:

  • The derived inequalities provide a framework for understanding nonlocality in generalized tree networks.
  • The findings contribute to the development of robust long-distance quantum communication systems.
  • This work generalizes existing studies on quantum network nonlocality.