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Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and

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We introduce assemblage moment matrices for device-independent quantum characterization. This method quantifies quantum state steerability and measurement incompatibility without assumptions about devices.

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Area of Science:

  • Quantum Information Science
  • Quantum Foundations
  • Device-Independent Quantum Information

Background:

  • Quantum steering and entanglement are key resources in quantum information.
  • Device-independent protocols offer enhanced security and robustness.
  • Characterizing quantum states and measurements often requires trust in the devices.

Purpose of the Study:

  • Introduce assemblage moment matrices for device-independent characterization.
  • Provide a method to lower bound quantum state steerability.
  • Quantify entanglement robustness and subchannel discrimination usefulness.

Main Methods:

  • Define assemblage moment matrices from conditional quantum states in steering experiments.
  • Utilize observed correlations between measurement outcomes.
  • Combine with existing results on generalized robustness of entanglement.

Main Results:

  • Demonstrate device-independent characterization of quantum states and measurements.
  • Provide a lower bound on steerability from observed correlations.
  • Establish device-independent bounds on entanglement robustness and subchannel discrimination.
  • Quantify measurement incompatibility using steering and incompatibility robustness.

Conclusions:

  • Assemblage moment matrices offer a powerful tool for device-independent quantum information processing.
  • The method enables robust quantification of quantum correlations and device properties.
  • This approach facilitates self-testing of quantum measurements in Bell-type experiments.