Results 21 to 30 of about 1,591,491 (373)
The Dirac Equation, Mass and Arithmetic by Permutations of Automaton States [PDF]
EntropyThe cornerstones of the Cellular Automaton Interpretation of Quantum Mechanics are its underlying ontological states that evolve by permutations. They do not create would-be quantum mechanical superposition states.
Hans-Thomas Elze
doaj +2 more sources
Statistical properties of a quantum cellular automaton [PDF]
Physical Review A, 2005 20 pages,4 ...
Norio Inui +3 more
openalex +4 more sources
A cellular automaton decoder for a noise-bias tailored color code [PDF]
Quantum, 2022 Self-correcting quantum memories demonstrate robust properties that can be exploited to improve active quantum error-correction protocols. Here we propose a cellular automaton decoder for a variation of the color code where the bases of the physical ...
J. S. Miguel +2 more
semanticscholar +1 more source
A Yang–Baxter integrable cellular automaton with a four site update rule [PDF]
, 2021 We present a one dimensional reversible block cellular automaton, where the time evolution is dictated by a period 3 cycle of update rules. At each time step a subset of the cells is updated using a four site rule with two control bits and two action ...
B. Pozsgay
semanticscholar +1 more source
Exact Thermalization Dynamics in the "Rule 54" Quantum Cellular Automaton. [PDF]
Physical Review Letters, 2020 We study the out-of-equilibrium dynamics of the quantum cellular automaton known as "Rule 54." For a class of low-entangled initial states, we provide an analytic description of the effect of the global evolution on finite subsystems in terms of simple ...
Katja Klobas, B. Bertini, Lorenzo Piroli
semanticscholar +1 more source
Mathematics, 2022 This paper develops the analysis of properties of the cellular automata class introduced by the authors. It is assumed that the set of automaton cells is finite and forms a closed lattice, and there are two states for each automaton cell.
Valery Kozlov +2 more
doaj +1 more source
Exact solution of the Floquet-PXP cellular automaton. [PDF]
Physical Review E, 2020 We study the dynamics of a bulk deterministic Floquet model, the Rule 201 synchronous one-dimensional reversible cellular automaton (RCA201). The system corresponds to a deterministic, reversible, and discrete version of the PXP model, whereby a site ...
J. W. Wilkinson +3 more
semanticscholar +1 more source
Larger than Life: Digital Creatures in a Family of Two-Dimensional Cellular Automata [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We introduce the Larger than Life family of two-dimensional two-state cellular automata that generalize certain nearest neighbor outer totalistic cellular automaton rules to large neighborhoods.
Kellie M. Evans
doaj +1 more source
The reversibility of one-dimensional cellular automata
RUDN Journal of Engineering Research, 2021 Recently the reversible cellular automata are increasingly used to build high-performance cryptographic algorithms. The paper establishes a connection between the reversibility of homogeneous one-dimensional binary cellular automata of a finite size and ...
Alexey E. Zhukov
doaj +1 more source
Space-like dynamics in a reversible cellular automaton [PDF]
SciPost Physics Core, 2020 In this paper we study the space evolution in the Rule 54 reversible cellular automaton, which is a paradigmatic example of a deterministic interacting lattice gas.
Katja Klobas, T. Prosen
semanticscholar +1 more source