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Many-body quantum resources of graph states.

Marcin Płodzień1, Maciej Lewenstein1,2, Jan Chwedenczuk3

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Researchers developed a new method to quantify quantum correlations in complex many-body systems using graph states. This technique accurately measures entanglement and non-separability for quantum technologies and sensing applications.

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Area of Science:

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

Background:

  • Characterizing non-classical correlations is crucial for advancing quantum technologies.
  • Graph states are promising platforms for quantum computation, simulation, and metrology.
  • Scalable, computable, and measurable tools are needed for analyzing complex quantum systems.

Purpose of the Study:

  • To develop a general method for characterizing quantum content in graph states.
  • To quantify many-body Bell correlations, non-separability, and entanglement strength.
  • To relate these correlations to the utility of graph states in quantum sensing.

Main Methods:

  • Focus on four specific graph state topologies: star, Turán, r-ary tree, and square grid cluster states.
  • Provide a method to characterize quantum content for an arbitrary number of qubits.
  • Characterize many-body entanglement in graph states up to eight qubits across 146 non-equivalent classes.

Main Results:

  • A straightforward technique to quantify many-body entanglement and correlations in graph states.
  • Demonstrated characterization of entanglement in 146 classes of graph states up to eight qubits.
  • Established a link between the strength of quantum correlations and the performance in quantum sensing.

Conclusions:

  • The developed method is applicable to various graph state topologies and system sizes.
  • The technique is assumption-free, making it broadly applicable for analyzing multi-qubit states.
  • This work provides essential tools for advancing quantum information processing and quantum sensing.