19 citations · 28 across the 7 of their papers we have counts for
3 papers · 1 filter
Integrability of Goldilocks quantum cellular automata
Logan E. Hillberry, Lorenzo Piroli, Eric Vernier +3
Goldilocks quantum cellular automata (QCA) have been simulated on quantum hardware and produce emergent small-world correlation networks. In Goldilocks QCA, a single-qubit unitary…
Small-world complex network generation on a digital quantum processor
Eric B. Jones, Logan E. Hillberry, Matthew T. Jones +9
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 simp…
Entangled quantum cellular automata, physical complexity, and Goldilocks rules
Logan E. Hillberry, Matthew T. Jones, David L. Vargas +6
Cellular automata are interacting classical bits that display diverse emergent behaviors, from fractals to random-number generators to Turing-complete computation. We discover that…