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quant-ph2025
A note on the quantum Wielandt inequality
Owen Ekblad
In this note, we prove that the index of primitivity of any primitive unital Schwarz map is at most , where is the dimension of the underlying matrix algebra. This in…
quant-ph2025
A Multiplicative Ergodic Theorem for Bistochastic Ergodic Quantum Processes with Applications to Entanglement
Owen Ekblad
We prove a multiplicative ergodic theorem for bistochastic completely positive (bcp) linear cocycles acting on finite-dimensional matrix algebras, giving an invariant splitting des…
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…