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Entanglement Detection with Imprecise Measurements.

Simon Morelli1, Hayata Yamasaki1, Marcus Huber1

  • 1Institute for Quantum Optics and Quantum Information-IQOQI Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria and Atominstitut, Technische Universität Wien, Stadionallee 2, 1020 Vienna, Austria.

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This summary is machine-generated.

We developed a method to detect quantum entanglement even with imperfect measurements. Our approach quantifies measurement inaccuracy, crucial for reliable quantum experiments and device characterization.

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Area of Science:

  • Quantum Information Science
  • Experimental Quantum Physics

Background:

  • Entanglement is a key quantum resource, essential for quantum computation and communication.
  • Real-world quantum experiments face challenges due to imperfect measurement devices, potentially compromising entanglement detection.

Purpose of the Study:

  • To develop a robust method for entanglement detection under realistic conditions with bounded measurement inaccuracy.
  • To quantify the impact of measurement errors on standard entanglement witnesses.

Main Methods:

  • Formalizing an operational notion of measurement inaccuracy directly estimable in laboratory settings.
  • Deriving tight corrections for standard entanglement witnesses in arbitrary-dimensional systems.
  • Employing semidefinite programming to bound correlations in the presence of inaccuracy.

Main Results:

  • Demonstrated that even small measurement inaccuracies can significantly degrade the effectiveness of common entanglement witnesses.
  • Provided analytical methods to correct entanglement witnesses for known levels of inaccuracy.
  • Established bounds on correlations achievable with imperfect measurements.

Conclusions:

  • The developed framework allows for reliable entanglement detection despite experimental imperfections.
  • Accurate characterization of measurement inaccuracy is vital for validating quantum correlations and advancing quantum technologies.