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Measuring multipartite concurrence with a single factorizable observable.

Leandro Aolita1, Florian Mintert

  • 1Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21941-972 Rio de Janeiro, RJ, Brazil. aolita@if.ufrj.br

Physical Review Letters
|October 10, 2006
PubMed
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Researchers can now directly measure multipartite concurrence for pure states using a single observable and two system copies. This simplifies quantum state characterization in complex quantum systems and experiments.

Area of Science:

  • Quantum Information Science
  • Quantum Many-Body Systems
  • Quantum Measurement Theory

Background:

  • Multipartite concurrence quantifies entanglement in multi-qubit systems.
  • Direct measurement of multipartite concurrence is experimentally challenging.
  • Existing methods often require complex measurement schemes or multiple observables.

Purpose of the Study:

  • To develop a direct and efficient method for measuring multipartite concurrence.
  • To identify a single, factorizable observable for this measurement.
  • To demonstrate the applicability of the method to pure states of composite systems.

Main Methods:

  • Utilized theoretical framework for quantum state characterization.
  • Identified a specific factorizable observable for direct measurement.

Related Experiment Videos

  • Assumed availability of two copies of the composite quantum state.

    • Main Results:

    • A single, factorizable observable can directly measure multipartite concurrence for pure states.
    • The method applies to composite systems with any number of finite-dimensional subsystems.
    • The measurement requires only two copies of the quantum state.

    Conclusions:

    • Provides a significant simplification for quantifying multipartite entanglement.
    • The proposed method is readily implementable in current experimental setups.
    • Enables practical characterization of entanglement in trapped-ion and entangled-photon systems.