Purification of weakly monitored Clifford circuits on prime-dimensional qudits reduces exactly to a pure-death Markov process on the density-matrix rank, producing compact universal scaling functions for all Rényi entropies.
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quant-ph 2years
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Stochastic feedback controls the kicked top across regimes, with semiclassical methods capturing low moments while quantum effects appear in higher moments, and control causes rapid purification that quenches qubit encoding even without control.
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Universal purification dynamics of monitored Clifford circuits
Purification of weakly monitored Clifford circuits on prime-dimensional qudits reduces exactly to a pure-death Markov process on the density-matrix rank, producing compact universal scaling functions for all Rényi entropies.
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Measurement and feedback-driven adaptive dynamics in the classical and quantum kicked top
Stochastic feedback controls the kicked top across regimes, with semiclassical methods capturing low moments while quantum effects appear in higher moments, and control causes rapid purification that quenches qubit encoding even without control.