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Summary
This summary is machine-generated.

This study introduces coarse-grained self-testing for certifying quantum states in many-body systems. Maximal violation of a generalized Bell inequality confirms membership in a large set of entangled states.

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Area of Science:

  • Quantum Information Theory
  • Many-Body Physics
  • Device-Independent Quantum Information

Background:

  • Self-testing typically certifies unique quantum states via maximal Bell inequality violation.
  • Existing methods are limited in certifying properties of complex many-body systems.

Purpose of the Study:

  • To develop a coarse-grained self-testing approach for many-body quantum systems.
  • To certify membership in a large set of entangled states based on Bell inequality violations.

Main Methods:

  • Investigated a Bell scenario with an arbitrary number of parties.
  • Utilized a many-body generalization of the chained Bell inequality.

Main Results:

  • Demonstrated that maximal violation of the generalized chained Bell inequality certifies a many-body singlet state.
  • Showed this method certifies statistical mixtures of exponentially many orthogonal pure states.

Conclusions:

  • Coarse-grained self-testing enables device-independent certification of relevant properties in many-body quantum systems.
  • This expands the applicability of self-testing to complex quantum states and larger systems.