6 papers
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…
Periodicity in Ergodic Quantum Processes
Owen Ekblad, Jeffrey Schenker
We study the periodic properties of sequences of quantum channels sampled from an ergodic stochastic process satisfying a natural irreducibility condition. We relate these periodic…
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…
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…
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…
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…