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Measurability of D-concurrence.

N Karimi1, A Heshmati2, M Yahyavi3

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We present a direct experimental method to measure D-concurrence, a key quantum entanglement measure for bipartite systems. This approach converts entanglement measurement into observable measurements using generalized Gell-Mann operators.

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Area of Science:

  • Quantum Information Science
  • Quantum Entanglement Theory

Background:

  • D-concurrence is a crucial measure for quantifying entanglement in bipartite quantum systems.
  • Accurate quantification of entanglement is vital for advancements in quantum information science.

Purpose of the Study:

  • To introduce a direct experimental method for determining the D-concurrence of arbitrary bipartite pure states.
  • To establish a connection between D-concurrence measurement and observable quantities.

Main Methods:

  • The study proposes converting the measurement of D-concurrence into measurements of generalized Gell-Mann operators.
  • A step-by-step explanation of the measurement procedure for pure states is provided.

Main Results:

  • A direct method for the experimental determination of D-concurrence for bipartite pure states is presented.
  • The method relies on measuring specific observables, namely generalized Gell-Mann operators.

Conclusions:

  • The developed method offers a practical approach for experimentally quantifying bipartite entanglement via D-concurrence.
  • The findings are illustrated with a specific example of a two-party system with dimensions 3.