4 papers · 1 filter
Asymptotic Replacement for Quantum Channel Products with Applications to Inhomogeneous Matrix Product States
Lubashan Pathirana
We develop a product-level trace-Dobrushin theory for finite-dimensional quantum channel products and apply it to deterministic and stationary random inhomogeneous matrix product s…
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,…
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…
Asymptotic Purification of Quantum Trajectories under Random Generalized Measurements
Owen Ekblad, Eloy Moreno-Nadales, Lubashan Pathirana +1
We develop a general framework to study quantum trajectories resulting from repeated random measurements subject to stationary noise, and generalize results of Kümmerer and Maasse…