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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Small-world complex network generation on a digital quantum processor.

Eric B Jones1,2, Logan E Hillberry3, Matthew T Jones4,5

  • 1National Renewable Energy Laboratory, Golden, CO, 80401, USA. eric.jones@coldquanta.com.

Nature Communications
|August 2, 2022
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Summary
This summary is machine-generated.

We experimentally realized quantum cellular automata (QCA) on a quantum processor, simulating complex dynamics and forming small-world networks. This demonstrates QCA

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Area of Science:

  • Quantum Information Science
  • Computational Physics
  • Complex Systems

Background:

  • Quantum cellular automata (QCA) model complex physical phenomena from simple rules.
  • Classical computers struggle to simulate large quantum systems, limiting QCA research.
  • Quantum computers provide a powerful platform for simulating quantum systems.

Purpose of the Study:

  • To experimentally realize and simulate quantum cellular automata on a digital quantum processor.
  • To investigate the emergent network properties of simulated QCA.
  • To explore the potential of QCA for simulating strongly-correlated matter and demonstrating quantum computational advantages.

Main Methods:

  • Implementation of a one-dimensional Goldilocks QCA rule on superconducting qubits.
  • Simulation of QCA chains up to 23 qubits in size.
  • Calculation of calibrated and error-mitigated population dynamics and network measures.

Main Results:

  • Successful experimental realization of QCA on a quantum processor.
  • Observation of small-world mutual information networks in simulated QCA.
  • Decoherence observed at a fixed circuit depth, independent of system size.
  • Largest simulation involved 1,056 two-qubit gates.

Conclusions:

  • Quantum computers are suitable platforms for simulating QCA.
  • Simulated QCA can exhibit complex emergent network structures.
  • QCA simulations hold promise for applications in condensed matter physics and quantum computing.