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This study demonstrates quantum nonlocality in ring networks, showing how observed correlations can self-test quantum strategies. The triangle network requires minimal entanglement and entropy for genuine quantum nonlocality and randomness.

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Area of Science:

  • Quantum Information Science
  • Quantum Foundations

Background:

  • Quantum nonlocality is a key feature of quantum mechanics, typically demonstrated using devices with variable measurement settings.
  • Previous work has explored nonlocality in networks with independent sources, but characterization of the underlying quantum strategy remained challenging.

Purpose of the Study:

  • To investigate quantum nonlocality in ring networks without requiring measurement inputs.
  • To develop methods for self-testing quantum strategies from observed correlations.
  • To analyze the specific requirements for nonlocality in a triangle network configuration.

Main Methods:

  • Analysis of quantum correlations in ring network topologies.
  • Development of self-testing protocols for quantum strategies.
  • Application of these protocols to the triangle network to characterize resource requirements.

Main Results:

  • Demonstration of input-independent quantum nonlocality in ring networks.
  • Partial characterization and self-testing of quantum strategies from observed correlations.
  • Identification of minimal entanglement and entropy requirements for nonlocality in the triangle network.

Conclusions:

  • The triangle network enables genuine network quantum nonlocality.
  • The study provides a method for certifiable randomness generation.
  • Input-independent nonlocality can be achieved and verified in complex quantum networks.