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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Percolation Theories for Quantum Networks.

Xiangyi Meng1,2, Xinqi Hu3, Yu Tian4

  • 1Network Science Institute, Northeastern University, Boston, MA 02115, USA.

Entropy (Basel, Switzerland)
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Summary
This summary is machine-generated.

Quantum networks can distribute entanglement indirectly, even with noise. A new theory, concurrence percolation, reveals quantum networks are more resilient than classical models suggest.

Keywords:
critical phenomenaentanglement distributionhypergraphnetworks of networkspercolationquantum network

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Area of Science:

  • Statistical Physics
  • Quantum Information Science
  • Network Theory

Background:

  • Quantum networks are advancing rapidly, necessitating understanding of large-scale properties.
  • Distributing entanglement indirectly in imperfect quantum networks with noise is a key challenge.

Purpose of the Study:

  • To review and analyze methods for indirect entanglement distribution in noisy quantum networks.
  • To investigate the applicability of percolation theory to quantum network connectivity.

Main Methods:

  • Mapping quantum network problems to classical percolation theory.
  • Developing and analyzing a new framework termed "concurrence percolation".

Main Results:

  • Classical percolation frameworks are insufficient for describing indirect connectivity in quantum networks.
  • Concurrence percolation reveals a quantum advantage in network resilience at large scales.

Conclusions:

  • Quantum networks exhibit greater resilience to noise and imperfections than predicted by classical models.
  • The concurrence percolation framework offers new insights for designing robust future quantum networks.