Titel
A graph-separation theorem for quantum causal models
Abstract
A causal model is an abstract representation of a physical system as a directed acyclic graph (DAG), where the statistical dependencies are encoded using a graphical criterion called 'd-separation'. Recent work by Wood and Spekkens shows that causal models cannot, in general, provide a faithful representation of quantum systems. Since d-separation encodes a form of Reichenbach's common cause principle (RCCP), whose validity is questionable in quantum mechanics, we propose a generalized graph separation rule that does not assume the RCCP. We prove that the new rule faithfully captures the statistical dependencies between observables in a quantum network, encoded as a DAG, and reduces to d-separation in a classical limit.
Stichwort
causalitybayesian networksquantum foundations
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
phaidra.univie.ac.at/o:448423
Erschienen in
Titel
New Journal of Physics
Band
17
Ausgabe
7
Seitenanfang
073020
Publication
IOP Publishing
Fördergeber
Erscheinungsdatum
2015
Zugänglichkeit

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