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Estimating entanglement measures in experiments.

O Gühne1, M Reimpell, R F Werner

  • 1Institut für Quantenoptik und Quanteninformation, Osterreichische Akademie der Wissenschaften, A-6020 Innsbruck, Austria.

Physical Review Letters
|May 16, 2007
PubMed
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We developed a new method to quantify quantum entanglement in experiments using entanglement witnesses. This approach provides a lower bound for entanglement measures directly from experimental data, simplifying analysis.

Area of Science:

  • Quantum Information Science
  • Experimental Quantum Physics
  • Quantum Measurement

Background:

  • Quantifying entanglement is crucial for understanding quantum systems.
  • Entanglement measures often require complete experimental data, which can be challenging to obtain.
  • Entanglement witnesses provide qualitative evidence of entanglement but lack quantitative interpretation.

Purpose of the Study:

  • To present a novel method for estimating entanglement measures in experimental settings.
  • To establish a quantitative link between entanglement witnesses and entanglement measures.
  • To provide a practical tool for analyzing experimental entanglement data.

Main Methods:

  • Deriving a lower bound for generic entanglement measures.
  • Utilizing measured expectation values from a finite set of entanglement witnesses.

Related Experiment Videos

  • Applying the method to analyze entanglement in a specific multiphoton experiment.

    • Main Results:

    • A method to estimate entanglement measures directly from witness measurements is established.
    • The approach provides quantitative bounds without requiring additional experimental data.
    • Bounds for entanglement of formation and geometric measure of entanglement were determined for a multiphoton experiment.

    Conclusions:

    • The developed method offers a robust way to quantify entanglement in experiments.
    • Entanglement witness measurements gain quantitative significance through this technique.
    • This work facilitates more precise characterization of entanglement in real-world quantum systems.