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Reliable entanglement detection under coarse-grained measurements.

D S Tasca1, Łukasz Rudnicki, R M Gomes

  • 1SUPA, School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom.

Physical Review Letters
|June 11, 2013
PubMed
Summary

We developed reliable entanglement witnesses for continuous variable systems that avoid false positives. Shannon entropy-based witnesses are superior to variance-based ones, even for Gaussian states.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics

Background:

  • Entanglement is a key quantum resource.
  • Detecting entanglement in continuous variable systems is challenging.
  • Coarse-grained measurements are often necessary in experiments.

Purpose of the Study:

  • To derive robust entanglement witnesses for coarse-grained measurements.
  • To ensure witnesses never yield false positives for entanglement detection.
  • To compare the efficacy of Shannon entropy versus variance-based witnesses.

Main Methods:

  • Derivation of entanglement witnesses applicable to coarse-grained measurements.
  • Analysis of witness performance under varying degrees of coarse graining.
  • Application of Shannon entropy and variance measures.

Main Results:

  • Developed entanglement witnesses with guaranteed reliability (no false positives).
  • Demonstrated that Shannon entropy-based witnesses outperform variance-based ones for Gaussian states.
  • Successfully applied the method to experimentally identify spatial entanglement in photon pairs.

Conclusions:

  • The derived witnesses provide a reliable tool for entanglement detection in practical scenarios.
  • Shannon entropy offers a more powerful approach for entanglement witnessing in continuous variable systems.
  • The findings facilitate experimental verification of entanglement in quantum optics.