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…
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…