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Nonlocality, Steering, and Quantum State Tomography in a Single Experiment.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Foundations of Quantum Mechanics

Background:

  • Quantum state tomography (QST) is essential for characterizing quantum systems.
  • Certifying quantum correlations (entanglement, steering, nonlocality) typically requires specific measurement settings.
  • Mutually unbiased bases (MUBs) and symmetric informationally complete (SIC) measurements are standard tools in QST.

Purpose of the Study:

  • To investigate the utility of MUBs and SIC measurements for certifying quantum correlations.
  • To develop a noise-robust correlation witness for entanglement, steering, and nonlocality detection.
  • To demonstrate these capabilities within a single experimental framework.

Main Methods:

  • Identification of a simple, noise-robust correlation witness.
  • Evaluation of the witness using outcome statistics from QST.
  • Performing state tomography on entangled qutrits.
  • Conducting tests for Einstein-Podolsky-Rosen (EPR) steering and Bell inequalities.
  • Photonics experiment demonstrating quantum correlations under various trust assumptions.

Main Results:

  • Demonstrated that MUBs and SIC measurements can certify quantum correlations.
  • Developed and applied a correlation witness for entanglement, steering, and nonlocality.
  • Successfully performed QST, EPR steering tests, and Bell tests within a single experiment.
  • Showcased quantum correlations in a photonics experiment with flexible trust assumptions (both trusted, one untrusted, both untrusted).

Conclusions:

  • Standard QST measurements are sufficient for certifying fundamental quantum correlations.
  • The developed correlation witness offers a practical and robust tool for quantum information processing.
  • The experimental demonstration validates the theoretical framework and highlights its applicability in real-world scenarios.