An overview of Quantum Cellular Automata

Abstract : Quantum cellular automata consist in arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G. Moreover the global evolution G is required to be causal (it propagates information at a bounded speed) and translation-invariant (it acts everywhere the same). Quantum cellular automata provide a model/architecture for distributed quantum computation. More generally, they encompass most of discrete-space discrete-time quantum theory. We give an overview of their theory, with particular focus on structure results; computability and universality results; and quantum simulation results.
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Submitted on : Thursday, May 30, 2019 - 12:06:42 AM
Last modification on : Wednesday, February 12, 2020 - 11:44:01 AM

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Pablo Arrighi. An overview of Quantum Cellular Automata. 2019. ⟨hal-02144313⟩

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