Small-World Complex Network Generation on a Digital Quantum Processor: Article No. 4483

Eric Jones, Logan Hillberry, Matthew Jones, Mina Fasihi, Pedram Roushan, Zhang Jiang, Alan Ho, Charles Neill, Eric Ostby, Peter Graf, Eliot Kapit, Lincoln Carr

Research output: Contribution to journalArticlepeer-review

6 Scopus Citations


Quantum cellular automata (QCA) evolve qubits in a quantum circuit depending only on the states of their neighborhoods and model how rich physical complexity can emerge from a simple set of underlying dynamical rules. The inability of classical computers to simulate large quantum systems hinders the elucidation of quantum cellular automata, but quantum computers offer an ideal simulation platform. Here, we experimentally realize QCA on a digital quantum processor, simulating a one-dimensional Goldilocks rule on chains of up to 23 superconducting qubits. We calculate calibrated and error-mitigated population dynamics and complex network measures, which indicate the formation of small-world mutual information networks. These networks decohere at fixed circuit depth independent of system size, the largest of which corresponding to 1,056 two-qubit gates. Such computations may enable the employment of QCA in applications like the simulation of strongly-correlated matter or beyond-classical computational demonstrations.
Original languageAmerican English
Number of pages7
JournalNature Communications
StatePublished - 2022

NREL Publication Number

  • NREL/JA-2C00-83524


  • complex network
  • Goldilocks
  • QCA
  • quantum
  • quantum cellular automata
  • quantum computing
  • quantum processor
  • quantum system
  • small-world


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