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Quantum steering: a review with focus on semidefinite programming.

D Cavalcanti1, P Skrzypczyk2

  • 1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain.

Reports on Progress in Physics. Physical Society (Great Britain)
|December 24, 2016
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Summary
This summary is machine-generated.

Quantum steering, a form of quantum inseparability, is explored using semidefinite programming for detection and quantification. This review provides methods and codes for studying quantum steering and its applications.

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Area of Science:

  • Quantum Information Science
  • Quantum Foundations

Background:

  • Quantum steering describes non-classical correlations between entangled quantum states.
  • It acts as an entanglement test with uncharacterized measurements, bridging Bell nonlocality and entanglement.
  • Quantum steering is crucial for asymmetric quantum information protocols involving untrusted parties.

Purpose of the Study:

  • To provide an overview of characterizing quantum steering using semidefinite programming.
  • To present efficient numerical methods for steering detection, quantification, and applications.
  • To offer a collection of semidefinite programming codes for studying quantum steering.

Main Methods:

  • Characterization of quantum steering via semidefinite programming.
  • Application of numerical methods for steering detection and quantification.
  • Review of theoretical and experimental findings related to quantum steering.

Main Results:

  • Semidefinite programming offers efficient numerical methods for steering characterization.
  • These methods enable robust detection and quantification of quantum steering.
  • The review consolidates key results and provides practical computational tools.

Conclusions:

  • Semidefinite programming is a powerful tool for analyzing quantum steering.
  • This approach facilitates advancements in quantum information protocols and fundamental studies.
  • The provided codes will aid researchers in exploring quantum steering phenomena.