3 papers
math-ph2026
Parent Hamiltonians of Ergodic Matrix Product States
Owen Ekblad, Eloy Moreno-Nadales, Eric B. Roon +1
Matrix product states (MPS) are quintessential examples of frustration-free gapped ground states of local interactions called parent Hamiltonians. In this work, we investigate pare…
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…
quant-ph2024
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 Maassen…