Universität zu Köln

Budroni, Costantino ORCID: 0000-0002-6562-7862, Miklin, Nikolai ORCID: 0000-0001-8046-382X and Chaves, Rafael ORCID: 0000-0001-8493-4019 (2016). Indistinguishability of causal relations from limited marginals. Phys. Rev. A, 94 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1094-1622

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Abstract

We investigate the possibility of distinguishing among different causal relations starting from a limited set of marginals. Our main tool is the notion of adhesivity, that is, the extension of probability or entropies defined only on subsets of variables, which provides additional independence constraints among them. Our results provide a criterion for recognizing which causal structures are indistinguishable when only limited marginal information is accessible. Furthermore, the existence of such extensions greatly simplifies the characterization of a marginal scenario, a result that facilitates the derivation of Bell inequalities both in the probabilistic and entropic frameworks, and the identification of marginal scenarios where classical, quantum, and postquantum probabilities coincide.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Budroni, Costantino UNSPECIFIED orcid.org/0000-0002-6562-7862 UNSPECIFIED Miklin, Nikolai UNSPECIFIED orcid.org/0000-0001-8046-382X UNSPECIFIED Chaves, Rafael UNSPECIFIED orcid.org/0000-0001-8493-4019 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-258167
DOI:	10.1103/PhysRevA.94.042127
Journal or Publication Title:	Phys. Rev. A
Volume:	94
Number:	4
Date:	2016
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1094-1622
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language INFORMATION; INEQUALITIES; PROBABILITY; POLYTOPES; GEOMETRY Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/25816