Discrete-time quantum walks are constructed on Fock-state lattices via Lie algebra displacement operators, producing ballistic spreading, coin-walker entanglement, and anomalous effects such as super-ballistic spreading or localization.
Duan, Quantum walk on the bloch sphere, Physical Review A105, 042215 (2022)
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Discrete-time quantum walks in synthetic dimensions
Discrete-time quantum walks are constructed on Fock-state lattices via Lie algebra displacement operators, producing ballistic spreading, coin-walker entanglement, and anomalous effects such as super-ballistic spreading or localization.