01588nas a2200241 4500008004100000022001400041245008300055210006900138260001400207300001100221490000600232520086600238100002401104700002201128700002101150700001801171700002801189700001401217700002401231700002301255700002101278856004701299 2021 eng d a2058-956500aEntangled quantum cellular automata, physical complexity, and Goldilocks rules0 aEntangled quantum cellular automata physical complexity and Gold c9/29/2021 a0450170 v63 a
Cellular automata are interacting classical bits that display diverse emergent behaviors, from fractals to random-number generators to Turing-complete computation. We discover that quantum cellular automata (QCA) can exhibit complexity in the sense of the complexity science that describes biology, sociology, and economics. QCA exhibit complexity when evolving under "Goldilocks rules" that we define by balancing activity and stasis. Our Goldilocks rules generate robust dynamical features (entangled breathers), network structure and dynamics consistent with complexity, and persistent entropy fluctuations. Present-day experimental platforms -- Rydberg arrays, trapped ions, and superconducting qubits -- can implement our Goldilocks protocols, making testable the link between complexity science and quantum computation exposed by our QCA.
1 aHillberry, Logan, E1 aJones, Matthew, T1 aVargas, David, L1 aRall, Patrick1 aHalpern, Nicole, Yunger1 aBao, Ning1 aNotarnicola, Simone1 aMontangero, Simone1 aCarr, Lincoln, D uhttp://dx.doi.org/10.1088/2058-9565/ac1c41