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• W3150276750 abstract "One can think of some physical evolutions as being the emergent-effective result of a microscopic discrete model. Inspired by classical coarse-graining procedures, we provide a simple procedure to coarse-grain color-blind quantum cellular automata that follow Goldilocks rules. The procedure consists in (i) space-time grouping the quantum cellular automaton (QCA) in cells of size $N$; (ii) projecting the states of a cell onto its borders, connecting them with the fine dynamics; (iii) describing the overall dynamics by the border states, that we call signals; and (iv) constructing the coarse-grained dynamics for different sizes $N$ of the cells. A byproduct of this simple toy-model is a general discrete analog of the Stokes law. Moreover we prove that in the spacetime limit, the automaton converges to a Dirac free Hamiltonian. The QCA we introduce here can be implemented by present-day quantum platforms, such as Rydberg arrays, trapped ions, and superconducting qbits. We hope our study can pave the way to a richer understanding of those systems with limited resolution." @default.
• W3150276750 created "2021-04-13" @default.
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• W3150276750 date "2021-03-29" @default.
• W3150276750 modified "2023-10-10" @default.
• W3150276750 title "Coarse-grained quantum cellular automata" @default.
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• W3150276750 doi "https://doi.org/10.1103/physreva.103.032224" @default.
• W3150276750 hasPublicationYear "2021" @default.
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