3 papers
quant-ph2025
Renormalisation of Fermionic Cellular Automata
Lorenzo Siro Trezzini, Andrea Pizzamiglio, Alessandro Bisio +1
We present an exact renormalisation scheme for fermionic cellular automata on hypercubic lattices. By grouping neighbouring cells into tiles and selecting subspaces within them, mu…
quant-ph2025
Classification of qubit cellular automata on hypercubic lattices
Andrea Pizzamiglio, Alessandro Bisio, Paolo Perinotti
We classify quantum cellular automata whose cells are qubits, on hypercubic lattices , with the von Neumann neighborhood scheme, in terms of realizability as finite-de…
quant-ph2024
A perturbative approach to the solution of the Thirring quantum cellular automaton
Alessandro Bisio, Paolo Perinotti, Andrea Pizzamiglio +1
The Thirring Quantum Cellular Automaton (QCA) describes the discrete time dynamics of local fermionic modes that evolve according to one step of the Dirac cellular automaton follow…