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Optimized Detection of High-Dimensional Entanglement.

Xiao-Min Hu1,2, Wen-Bo Xing1,2, Yu Guo1,2

  • 1CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China.

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|December 10, 2021
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This summary is machine-generated.

This study introduces an automated method for detecting entanglement in quantum states, including challenging "unfaithful" states. The new technique successfully identified entanglement in noisy, high-dimensional photonic states, advancing quantum information processing.

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Area of Science:

  • Quantum Information Processing
  • Quantum Optics
  • Quantum State Characterization

Background:

  • Entanglement detection is crucial in quantum information processing.
  • Fidelity-based witnesses fail for a class of entangled states known as unfaithful states.
  • Developing robust entanglement detection methods for high-dimensional and noisy states is essential.

Purpose of the Study:

  • To introduce a flexible, automated method for constructing optimal entanglement detection tests.
  • To enable detection of entanglement in both faithful and unfaithful quantum states of arbitrary dimensions.
  • To provide protocols implementable across various experimental platforms.

Main Methods:

  • Developed an automated method to construct optimal entanglement detection tests.
  • Focused on bipartite target states of arbitrary dimensions and local measurement operators.
  • Restricted measurement settings for practical implementation.
  • Utilized a quantum optics setup for preparing and measuring high-dimensional mixed states.

Main Results:

  • Successfully generated and implemented entanglement detection protocols using a quantum optics setup.
  • Experimentally certified two- and three-unfaithful entanglement in four-dimensional photonic states.
  • Demonstrated the method's effectiveness on states with significant noise (over 50%).

Conclusions:

  • The developed automated method offers a powerful tool for detecting entanglement, especially in unfaithful and noisy quantum states.
  • The technique is versatile and adaptable to various experimental implementations, including photons, superconducting qudits, cold atoms, and trapped ions.
  • This work advances the experimental certification of high-dimensional entanglement, overcoming limitations of previous methods.