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Full Network Nonlocality.

Alejandro Pozas-Kerstjens1,2, Nicolas Gisin3,4, Armin Tavakoli5,6

  • 1Departamento de Análisis Matemático, Universidad Complutense de Madrid, 28040 Madrid, Spain.

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Summary
This summary is machine-generated.

We introduce full network nonlocality, a stronger form of quantum correlations requiring all network links to distribute nonlocal resources. Star networks can detect this, unlike standard Bell tests.

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Area of Science:

  • Quantum Information Science
  • Foundations of Physics

Background:

  • Bell's theorem established quantum nonlocality.
  • Network nonlocality extends these concepts to complex systems.
  • Existing network Bell tests may not capture all forms of nonlocality.

Purpose of the Study:

  • Introduce and define 'full network nonlocality'.
  • Compare its strength to standard network nonlocality.
  • Develop methods to detect full network nonlocality in quantum theory.

Main Methods:

  • Formal definition of full network nonlocality.
  • Analysis of established network Bell tests.
  • Generalization of Bell tests to star networks.
  • Combination of methods for local and theory-independent correlations.

Main Results:

  • Full network nonlocality is a stronger condition than standard network nonlocality.
  • The standard network Bell test fails to detect full network nonlocality.
  • Generalized star network Bell tests can detect full network nonlocality.
  • Polynomial witnesses for full network nonlocality in bilocal scenarios were constructed.

Conclusions:

  • Full network nonlocality provides a more stringent test of quantum correlations in networks.
  • Star network generalizations are crucial for detecting this stronger form of nonlocality.
  • Quantum theory permits violations of inequalities demonstrating full network nonlocality.