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Higher-order transformations of bidirectional quantum processes
Luca Apadula, Alessandro Bisio, Giulio Chiribella +2
Bidirectional devices are devices for which the roles of the input and output ports can be exchanged. Mathematically, these devices are described by bistochastic quantum channels,…
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…
Storage and retrieval of two unknown unitary channels
Michal Sedlák, Robert Stárek, Nikola Horová +3
We address the fundamental task of converting uses of an unknown unitary transformation into a quantum state (i.e., storage) and later retrieval of the transformation. Specific…
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…
Renormalisation of Quantum Cellular Automata
Lorenzo Siro Trezzini, Alessandro Bisio, Paolo Perinotti
We study a coarse-graining procedure for quantum cellular automata on hypercubic lattices that consists in grouping neighboring cells into tiles and selecting a subspace within eac…
Fermionic cellular automata in one dimension
Lorenzo S. Trezzini, Matteo Lugli, Paolo Meda +3
We consider quantum cellular automata for one-dimensional chains of Fermionic modes and study their implementability as finite depth quantum circuits. Fermionic automata have been…