paper

Classification of qubit cellular automata on hypercubic lattices

arXiv:2408.04493 · doi:10.1103/PhysRevLett.134.240601

Abstract

We classify quantum cellular automata whose cells are qubits, on hypercubic lattices , with the von Neumann neighborhood scheme, in terms of realizability as finite-depth quantum circuits. We show the most general structure of such automata and use its characterisation to simulate a few steps of evolution and evaluate the rate of entanglement production between one cell and its surroundings.

6+6 pages, 5+4 figures; v2 minor revisions

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