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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Fock-space lattices enable cell-dependent criticality that tunes quantum Fisher information scaling from standard to Heisenberg limits with broad sensing coverage via topological zero modes.
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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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Cell-Dependent Criticality for Quantum Metrology
Fock-space lattices enable cell-dependent criticality that tunes quantum Fisher information scaling from standard to Heisenberg limits with broad sensing coverage via topological zero modes.