A causal modelling analysis of Bell scenarios in space-time:
implications of jamming non-local correlations for relativistic causality
principles
- URL: http://arxiv.org/abs/2311.18465v1
- Date: Thu, 30 Nov 2023 11:17:49 GMT
- Title: A causal modelling analysis of Bell scenarios in space-time:
implications of jamming non-local correlations for relativistic causality
principles
- Authors: V. Vilasini and Roger Colbeck
- Abstract summary: Bell scenarios involve space-like separated measurements made by multiple parties.
Non-signalling constraints have been proposed, which permit a class of post-quantum theories known as jamming non-local theories.
We show that any theory that generates jamming correlations in a Bell scenario must necessarily do so through causal fine-tuning and by means of superluminal causal influences.
- Score: 1.0878040851638
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Bell scenarios involve space-like separated measurements made by multiple
parties. The standard no-signalling constraints ensure that such parties cannot
signal superluminally by choosing their measurement settings. In tripartite
Bell scenarios, relaxed non-signalling constraints have been proposed, which
permit a class of post-quantum theories known as jamming non-local theories. To
analyse whether no superluminal signalling continues to hold in these theories
and, more generally, the role of non-signalling constraints in preserving
relativistic causality principles, we apply a framework that we have recently
developed for defining information-theoretic causal models in non-classical
theories and their compatibility with relativistic causality in a space-time.
We show that any theory that generates jamming correlations in a Bell scenario
between space-like separated parties must necessarily do so through causal
fine-tuning and by means of superluminal causal influences. Moreover, within
our framework, we show that jamming theories can also lead to superluminal
signalling (contrary to previous claims) unless it is ensured that certain
systems are fundamentally inaccessible to agents and their interventions.
Finally, we analyse relativistic causality in Bell scenarios showing that
no-signalling constraints on correlations are generally insufficient for ruling
out superluminal signalling when general interventions are also allowed. In
this way, we identify necessary and sufficient conditions for ruling out
superluminal signalling in Bell scenarios, and demonstrate through examples
that the non-signalling constraints on correlations are neither necessary nor
sufficient for ruling out causal loops. These results solidify our
understanding of relativistic causality principles in information processing
tasks in space-time, involving classical, quantum or post-quantum resources.
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