2024/08/08 by Pizzamiglio, Andrea, Bisio, Alessandro, Perinotti, Paolo · 1 citation
#FOS: Physical sciences #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.2408.04493
We classify quantum cellular automata whose cells are qubits, on hypercubic lattices \mathbb Zs, 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.