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Device-Independent Witnesses of Entanglement Depth from Two-Body Correlators.

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This study introduces new device-independent witnesses for entanglement depth in quantum systems. These witnesses can be measured using collective measurements, simplifying entanglement characterization in large atomic systems.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Many-Body Systems

Background:

  • Characterizing entanglement depth in quantum many-body systems is crucial for understanding quantum phenomena.
  • Device-independent approaches offer robust methods for verifying quantum properties without system-specific assumptions.

Purpose of the Study:

  • To develop novel device-independent witnesses for entanglement depth (DIWEDs).
  • To enable the certification of genuine entanglement in quantum many-body systems.
  • To overcome limitations of existing DIWEDs by simplifying measurement requirements.

Main Methods:

  • Utilized Bell inequalities to construct device-independent witnesses of entanglement depth.
  • Employed a variational method to find optimal k-producible states.
  • Applied semidefinite programming for optimality certificates, relaxing the quantum marginal problem.
  • Analyzed results in the thermodynamic limit for large system sizes.

Main Results:

  • Derived new DIWEDs with computable k-producibility bounds.
  • Identified analytical patterns for k-producible bounds in the thermodynamic limit.
  • Demonstrated that these DIWEDs require only collective measurements and second moments, unlike previous methods.
  • Showcased the experimental feasibility with existing setups for large atomic systems (5x10^2 - 5x10^5 atoms).

Conclusions:

  • The developed DIWEDs provide a more practical approach to certifying entanglement depth in quantum many-body systems.
  • The findings pave the way for experimental verification of genuine entanglement in large-scale quantum devices.
  • This work advances the field of device-independent quantum information processing.