density operators 1directed acyclic graphs 1Markov properties 1quantum Bayesian networks 1quantum conditional independence 1
From the 1 of 2 linked papers with an AI index.
2 papers
quant-ph2026
Bayesian Networks of Density Operators
Steffen Lauritzen, Piotr Zwiernik
The paper develops quantum versions of Bayesian networks on directed acyclic graphs, introducing intrinsic and extrinsic constructions for positive‑definite density operators and p…
quant-ph2026
The Markov Marginal Problem for Density Operators
Steffen Lauritzen, Piotr Zwiernik
We study when local reduced density operators, viewed as quantum marginals, can be assembled into a global quantum state with a prescribed Markov structure. The starting point is a…