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Area of Science:

  • Quantum Information Science
  • Network Theory
  • Complex Systems

Background:

  • Large-scale quantum systems are typically fragile, posing challenges for their use as quantum resources.
  • Classical emergent phenomena often exhibit increased robustness with system scale.
  • The potential for classical systems to inform robust quantum network design is explored.

Purpose of the Study:

  • To investigate methods for creating robust, large-scale coherent quantum states.
  • To determine if principles from classical emergent phenomena can be applied to quantum networks.
  • To characterize complex quantum states derived from graph structures.

Main Methods:

  • Mapping qubit interactions onto the structure of k-regular random graphs.
  • Analyzing the impact of random edge deletions on these graph structures.
  • Investigating the role of the expander property in graph-based quantum state robustness.

Main Results:

  • Emergent quantum coherent states derived from k-regular random graphs demonstrate significant robustness.
  • Substantial numbers of edge deletions were tolerated without complete loss of coherence.
  • The expander property of k-regular random graphs appears crucial for state resilience.

Conclusions:

  • Complex quantum states can exhibit robustness through graph-based constructions.
  • Random graph deletions, inspired by classical network analysis, can reveal resilience in quantum states.
  • These findings suggest new pathways for engineering robust quantum resources.