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Structural quantification of entanglement.

F Shahandeh1, J Sperling1, W Vogel1

  • 1Arbeitsgruppe Theoretische Quantenoptik, Institut für Physik, Universität Rostock, D-18055 Rostock, Germany.

Physical Review Letters
|January 24, 2015
PubMed
Summary
This summary is machine-generated.

We present a novel method for analyzing multipartite entanglement structures. This approach uses measurable witnesses to distinguish and quantify different entanglement states, even under noise.

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Area of Science:

  • Quantum Information Science
  • Quantum Entanglement Analysis

Background:

  • Multipartite entanglement is crucial for quantum information processing.
  • Characterizing complex entanglement structures, especially in noisy environments, remains challenging.

Purpose of the Study:

  • To develop a comprehensive framework for structural and quantitative analysis of multipartite entanglement.
  • To introduce a method for distinguishing and quantifying different entanglement structures using measurable witnesses.

Main Methods:

  • Derivation of equations for constructing optimal measurable witnesses.
  • Application of the method to analyze a 4-cluster state under noise and losses.
  • Demonstration in multimode continuous variable systems using a dephased Greenberger-Horne-Zeilinger-type state.

Main Results:

  • Demonstrated that sets of states with different structures are convex and nested.
  • Successfully formulated witnesses for a 4-cluster state, enabling quantitative entanglement analysis.
  • Showcased the method's efficacy in continuous variable systems with noise.

Conclusions:

  • The developed approach provides a robust tool for full structural and quantitative analysis of multipartite entanglement.
  • Measurable witnesses are effective for distinguishing and quantifying entanglement structures.
  • The method is applicable to various quantum systems, including those affected by noise and losses.