3 papers
quant-ph2026
Finite Realizations and Effective Memory in Nonlinear Quantum Filtering
Jacob Emerson
Nonlinear dynamics generate non-Gaussian states and operations, but they also make continuously monitored quantum systems difficult to track. A quantum filter performs this task by…
quant-ph2026
Exact Conditional Momentum Moments for Nonlinear Homodyne Trajectories
Jacob Emerson
Simulation of nonlinear stochastic master equations generally requires trajectory-level evolution of large Hilbert-space density matrices, making strongly nonlinear continuously mo…
quant-ph2026
Closed-Form Expectation Values of the Damped Kerr Oscillator
Jacob Emerson
We derive a closed-form analytical expression for the expectation values of a damped Kerr nonlinear oscillator initialized in a coherent state. Starting from the exact Liouville-sp…