Abstract

I will first discuss a way to analyze monitored dynamics in long-range interacting systems, relevant to platforms like trapped ions and Rydberg atoms. The method extends spin-wave theory to general dynamical generators at the quantum trajectory level, enabling access to a broader class of states than approaches based on density matrices. This allows efficient simulation of large-scale interacting spins and captures nonlinear dynamical features such as entanglement and trajectory correlations.
If time permits, I will also discuss how in these systems the problem of post-selection barrier is mitigated, resulting in only a polynomial post-selection overhead.