Unlimited non-causal correlations and their relation to non-locality

TitleUnlimited non-causal correlations and their relation to non-locality
Publication TypeJournal Article
Year of Publication2022
AuthorsBaumeler, Ä, Gilani, AShiraz, Rashid, J
Date Published3/22/2022

Non-causal correlations certify the lack of a definite causal order among localized space-time regions. In stark contrast to scenarios where a single region influences its own causal past, some processes that distribute non-causal correlations satisfy a series of natural desiderata: logical consistency, linear and reversible dynamics, and computational tameness. Here, we present such processes among arbitrary many regions where each region influences every other but itself, and show that the above desiderata are altogether insufficient to limit the amount of "acausality" of non-causal correlations. This leaves open the identification of a principle that forbids non-causal correlations. Our results exhibit qualitative and quantitative parallels with the non-local correlations due to Ardehali and Svetlichny.