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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An open quantum system with bosonic modes and reservoirs implements parallel stochastic matrix-vector multiplications whose computation time is independent of input dimension, with results given by stationary energy flows and a direct mapping to electrical crossbar circuits.
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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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Thermodynamic coprocessor for linear operations with input-size-independent calculation time based on open quantum system
An open quantum system with bosonic modes and reservoirs implements parallel stochastic matrix-vector multiplications whose computation time is independent of input dimension, with results given by stationary energy flows and a direct mapping to electrical crossbar circuits.