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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Quantum physics in connected worlds.

Joseph Tindall1,2, Amy Searle3, Abdulla Alhajri3,4

  • 1Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, NY, 10010, USA. jtindall@flatironinstitute.org.

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This summary is machine-generated.

Complex many-body quantum systems behave as a single collective spin on general graphs. Exceptional geometries are key for complex physics, with inhomogeneity signaling emergent complexity via entanglement.

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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Statistical mechanics

Background:

  • Theoretical research on many-body quantum systems typically focuses on regular structures with limited interactions.
  • Advances in controlling pairwise interactions in quantum simulators motivate exploring more general system architectures.

Purpose of the Study:

  • To determine the behavior of spin systems on arbitrary graphs, moving beyond regular structures.
  • To understand the conditions under which complex many-body physics emerges.

Main Methods:

  • Analysis of spin systems on general, arbitrary graphs.
  • Mathematical proofs concerning system behavior in the thermodynamic limit.
  • Identification of specific graph properties (inhomogeneity) that lead to complex behavior.

Main Results:

  • Spin systems on general graphs behave as a single collective spin in the thermodynamic limit.
  • Complex many-body physics emerges only in specific, geometrically constrained structures.
  • Inhomogeneous dense graphs exhibit exceptions, with entanglement and non-uniform correlations heralding complexity.

Conclusions:

  • The emergence of complex quantum many-body physics is critically dependent on specific geometric constraints.
  • Inhomogeneity in dense graphs can lead to novel complex phases of matter.
  • This research opens avenues for discovering and utilizing new geometries for exotic quantum phenomena.