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quant-ph2025
Diffusive Stochastic Master Equation (SME) with dispersive qubit/cavity coupling
Pierre Rouchon
We provide a detailed analysis of the quantum diffusive Stochastic Master Equation~(SME) for qubit/cavity systems with dispersive coupling, incorporating classical input signals an…
quant-ph2025
Time-averaged continuous quantum measurement
Pierre Guilmin, Pierre Rouchon, Antoine Tilloy
The theory of continuous quantum measurement allows to reconstruct the state of a system from a continuous stochastic measurement record . However, this truly continuous…
quant-ph2025
Confinement to deterministic manifolds and low-dimensional solution formulas for continuously measured quantum systems
Alain Sarlette, Cyril Elouard, Pierre Rouchon
Quantum systems subjected to a continuous weak measurement process evolve according to stochastic differential equations (SDE). Depending on the outcomes of these stochastic measur…