Discussion reveals the structure of fixed points in quantum Markov maps, highlighting their relation to Von Neumann algebras and recurrence properties.
We discuss the structure of the fixed points subspace for a quantum Markov map, reviewing some old and recent results. Our discussion includes various examples that illustrate a range of different scenarios, particularly highlighting the situation when the fixed points form a Von Neumann algebra. Relations with transience and recurrence properties and with absorption problems will also be examined. All this theory is applicable to both discrete and continuous time quantum Markov semigroups
No takes yet. Share an insight, caveat, or question.
Raffaella Carbone (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: