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Genuine Network Multipartite Entanglement.

Miguel Navascués1, Elie Wolfe2, Denis Rosset2

  • 1Institute for Quantum Optics and Quantum Information (IQOQI) Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria.

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|January 7, 2021
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Summary
This summary is machine-generated.

Genuine multipartite entanglement is redefined to prevent easy manipulation. A new definition ensures quantum states are truly network entangled, not just a byproduct of simpler entanglement. This advances quantum information science.

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Area of Science:

  • Quantum Information Science
  • Quantum Entanglement
  • Many-Body Quantum Systems

Background:

  • The standard definition of genuine multipartite entanglement is crucial for assessing quantum control in multi-system scenarios.
  • Existing definitions are vulnerable, as bipartite entanglement sources can simulate genuine k-partite entanglement.

Purpose of the Study:

  • To propose a robust, alternative definition of genuine multipartite entanglement.
  • To introduce the concept of genuine network k-entanglement, which is resistant to manipulation.

Main Methods:

  • Development of a new theoretical framework for genuine network entanglement.
  • Introduction of analytic and numerical witnesses to detect genuine network entanglement.
  • Reinterpretation of existing quantum experiments within the new framework.

Main Results:

  • A quantum state is genuinely network k-entangled if it cannot be generated from (k-1)-partite states using local operations and shared randomness.
  • Demonstrated that many previous experiments exhibit genuine network entanglement.
  • Provided tools (witnesses) for identifying genuine network entanglement.

Conclusions:

  • The proposed definition of genuine network entanglement offers a more rigorous measure of multipartite quantum correlations.
  • This work reframes our understanding of multipartite entanglement and its experimental verification.
  • The findings have implications for quantum communication, computation, and metrology.