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Measurement Incompatibility under Loss.

Mohammad Mehboudi1, Fatemeh Rezaeinia2, Saleh Rahimi-Keshari2,3

  • 1Technische Universität Wien, 1020 Vienna, Austria.

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This summary is machine-generated.

Pure loss in quantum systems can make measurements compatible, but specific measurement sets remain incompatible even under extreme loss, ensuring quantum steering is still possible.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Continuous-Variable Quantum Systems

Background:

  • Measurement incompatibility is a key quantum resource.
  • Pure loss is a major noise source in quantum optics and communication.
  • Infinite-dimensional Hilbert spaces present unique challenges for quantum information processing.

Purpose of the Study:

  • To investigate how pure loss affects measurement incompatibility in continuous-variable quantum systems.
  • To determine the conditions under which measurements become compatible due to loss.
  • To design loss-resilient incompatible measurements and assess their feasibility.

Main Methods:

  • Analysis of continuous-variable systems in infinite-dimensional Hilbert spaces.
  • Modeling of pure loss channels with varying transmissivities.
  • Design and theoretical evaluation of measurement sets using on-off photodetectors and linear optics.

Main Results:

  • Loss channels with transmissivity < 1/n render any set of n measurements compatible.
  • A novel set of measurements remains incompatible even under extreme loss, with set size scaling with loss.
  • No loss channel can make all possible measurements compatible.

Conclusions:

  • Quantum steering is achievable even in the presence of pure loss.
  • The designed measurements offer a practical approach to maintaining quantum correlations under realistic loss conditions.
  • Understanding loss effects on incompatibility is crucial for advancing quantum communication and computation.