A graph-separation theorem for quantum causal models

Autor: Jacques Pienaar, Časlav Brukner
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: New Journal of Physics, Vol 17, Iss 7, p 073020 (2015)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/17/7/073020
Popis: 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.
Databáze: Directory of Open Access Journals