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Related Experiment Videos

Locking entanglement with a single qubit.

Karol Horodecki1, Michał Horodecki, Paweł Horodecki

  • 1Department of Mathematics Physics and Computer Science, University of Gdańsk, 80-952 Gdańsk, Poland.

Physical Review Letters
|August 11, 2005
PubMed
Summary
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Entanglement measures can decrease arbitrarily when one qubit is measured, a phenomenon called "locking." This study identifies which quantum entanglement measures exhibit this behavior, crucial for quantum information science.

Area of Science:

  • Quantum Information Science
  • Quantum Entanglement
  • Quantum Measurement

Background:

  • Entanglement is a key resource in quantum information processing.
  • Understanding entanglement dynamics under measurement is crucial for quantum technologies.
  • Previous studies have explored entanglement decay, but locking behavior requires specific investigation.

Purpose of the Study:

  • To investigate the phenomenon of entanglement locking in bipartite quantum states.
  • To identify which entanglement measures are susceptible to locking after qubit measurement.
  • To establish criteria for entanglement measures that exhibit locking behavior.

Main Methods:

  • Analysis of entanglement loss in bipartite quantum states subjected to single-qubit measurement or discarding.

Related Experiment Videos

  • Examination of the behavior of various entanglement measures, including entanglement of formation, entanglement cost, logarithmic negativity, and one-way distillable entanglement.
  • Mathematical proof demonstrating that any convex and asymptotically noncontinuous measure is lockable.

    • Main Results:

    • Entanglement of formation, entanglement cost, logarithmic negativity, and one-way distillable entanglement are identified as lockable measures.
    • These lockable measures can decrease arbitrarily following the measurement of a single qubit.
    • The relative entropy of entanglement is shown to be a nonlockable measure.

    Conclusions:

    • The study proves that all convex-roof measures are lockable due to their properties.
    • Entanglement locking is a significant factor to consider when quantifying entanglement in realistic quantum systems.
    • The findings provide a theoretical framework for understanding and predicting entanglement behavior under measurement.