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Robust and Efficient High-Dimensional Quantum State Tomography.

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Self-guided tomography offers a practical method for measuring complex quantum states, achieving over 99.9% fidelity for higher dimensions. This robust technique accurately characterizes quantum systems, even with noise, advancing quantum information science.

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Area of Science:

  • Quantum Information Science
  • Quantum Measurement and Characterization
  • High-Dimensional Quantum Systems

Background:

  • Quantum system characterization complexity grows exponentially with system dimension (d).
  • Accurate measurement of higher-dimensional quantum states (qudits) is crucial for quantum technologies.
  • Existing tomography methods face scalability challenges for large d.

Purpose of the Study:

  • To introduce and validate self-guided tomography as an efficient and robust technique.
  • To demonstrate high-fidelity state measurement for various qudit dimensions.
  • To assess the technique's performance with mixed states and experimental noise.

Main Methods:

  • Implementation of a self-guided quantum tomography protocol.
  • Experimental realization using various physical platforms (e.g., photonic, superconducting).
  • Characterization of pure and mixed states across different dimensions (d=3, 5, 20).

Main Results:

  • Achieved fidelities >99.9% for qutrits (d=3) and ququints (d=5).
  • Reached 99.1% fidelity for quvigints (d=20), setting a new record for qudit pure states.
  • Demonstrated high average fidelity (96.5%) for qutrit mixed states.
  • Showcased robustness against statistical and environmental noise.

Conclusions:

  • Self-guided tomography is a practical, efficient, and robust method for high-dimensional quantum state measurement.
  • The technique surpasses previous fidelity records for qudit pure states.
  • Applicable to diverse quantum systems (qubits to qudits) and physical implementations.