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quant-ph2025
Correlation Lengths for Stochastic Matrix Product States
Lubashan Pathirana, Albert H. Werner
We introduce a general model of stochastically generated matrix product states (MPS) in which the local tensors share a common distribution and form a strictly stationary sequence,…
quant-ph2025
Asymptotic Behavior of Random Time-Inhomogeneous Markovian Quantum Dynamics
Lubashan Pathirana, Jeffrey Schenker
We study the asymptotic behavior of continuous-time, time-inhomogeneous Markovian quantum dynamics in a stationary random environment. Under mild faithfulness and eventually positi…
math-ph2025
Ergodic Theorems for Quantum Trajectories under Disordered Generalized Measurements
Owen Ekblad, Eloy Moreno-Nadales, Lubashan Pathirana
We consider quantum trajectories arising from disordered, repeated generalized measurements, which have the structure of Markov chains in random environments (MCRE) with dynamicall…