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.
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A unified SU(2) framework treats vector beam transformations as spatially varying polarization operations and gives an explicit construction for doubly inhomogeneous waveplates that implement exact mappings including global phase.
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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.
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A Unified SU(2) Framework for Vector Beam Transformations and Complex Beam Shaping
A unified SU(2) framework treats vector beam transformations as spatially varying polarization operations and gives an explicit construction for doubly inhomogeneous waveplates that implement exact mappings including global phase.