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.
We initialize the coin in state|s⟩ and the walker in the symmetric coherent state (53) with βi = 1/ √ 3, which ensures a symmetric walk
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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.