Bounding quantum correlations with indefinite causal order

Author(s)
Caslav Brukner
Abstract

Causal inequalities are bounds on correlations obtained when operations take place in a causal sequence, i.e. in which the background time or definite causal structure pre-exists such that every operation is either in the future, in the past or space-like separated from any other operation. Recently, a framework was developed where quantum theory is assumed to be valid in local laboratories, but where no reference is made to any global causal relations between the operations in the laboratories. The framework was shown to allow for correlations that violate a bipartite causal inequality. Here we prove that the maximal violation of the causal inequality is upper bounded (analogously to the Tsirelson bound) under a restricted set of local operations involving binary observables. The bound is lower than what is algebraically possible.

Organisation(s)
Quantum Optics, Quantum Nanophysics and Quantum Information
External organisation(s)
Österreichische Akademie der Wissenschaften (ÖAW)
Journal
New Journal of Physics
Volume
17
No. of pages
7
ISSN
1367-2630
Publication date
08-2015
Peer reviewed
Yes
Austrian Fields of Science 2012
103025 Quantum mechanics, 103036 Theoretical physics, 103028 Theory of relativity
Keywords
ASJC Scopus subject areas
Physics and Astronomy(all)
Portal url
https://ucrisportal.univie.ac.at/en/publications/bounding-quantum-correlations-with-indefinite-causal-order(9f4f4ce6-fd41-42b4-9ae4-d8c556ddac8f).html