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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…
quant-ph2024
Reducibility Theory and Ergodic Theorems for Ergodic Quantum Processes
Owen Ekblad, Jeffrey Schenker
We develop a Perron-Frobenius type theory for products of random quantum channels acting on finite-dimensional matrix algebras sampled from a stationary and ergodic stochastic proc…