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Topologically Robust Quantum Network Nonlocality.

Sadra Boreiri1, Tamás Kriváchy2,3, Pavel Sekatski1

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Quantum network nonlocality is robust even with unknown network structures. Limited knowledge of the network topology guarantees nonlocality, enabling applications like randomness certification.

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Area of Science:

  • Quantum Information Science
  • Quantum Foundations

Background:

  • Quantum network Bell nonlocality is a key resource in quantum information processing.
  • Understanding the robustness of nonlocality in partially unknown network topologies is crucial for practical applications.

Purpose of the Study:

  • To investigate the demonstration of quantum network Bell nonlocality in settings with incomplete knowledge of the network structure.
  • To establish the topological robustness of quantum network nonlocality.
  • To explore the feasibility of applications like black-box randomness and entanglement certification in such scenarios.

Main Methods:

  • Analysis of quantum distributions generated over various network structures.
  • Comparison of quantum distributions with classical models, even those with enhanced network capabilities.
  • Focus on a large ring network to assess the impact of local topology knowledge.

Main Results:

  • Demonstration that quantum network nonlocality can be shown even when the global network structure is unknown.
  • Presentation of quantum distributions irreproducible by classical models, irrespective of their network complexity.
  • Proof that partial knowledge of a network's structure (e.g., local neighbors in a ring) suffices to guarantee network-wide nonlocality.

Conclusions:

  • Quantum network nonlocality exhibits significant topological robustness.
  • Limited local information about network topology is sufficient to ensure global nonlocality.
  • Applications of quantum nonlocality, including randomness and entanglement certification, are viable in partially unknown quantum networks.