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.

Related papers

• Minimal operational theories: classical theories with quantum features [41.94295877935867]
  We show that almost all minimal theories with conditioning satisfy two quantum no-go theorems. As a relevant example, we construct a minimal toy-theory with conditioning where all systems are classical.
  arXiv  Detail & Related papers  (2024-08-02T16:24:09Z)
• Characterizing Signalling: Connections between Causal Inference and Space-time Geometry [0.0]
  Causality is pivotal to our understanding of the world, presenting itself in different forms: information-theoretic and relativistic. We use a framework introduced in PRA, 106, 032204 (2022), which formally connects these two notions in general physical theories. We study the embedding of information-theoretic causal models in space-time without violating relativistic principles.
  arXiv  Detail & Related papers  (2024-03-01T19:00:45Z)
• Information causality as a tool for bounding the set of quantum correlations [0.0]
  Information causality was initially proposed as a physical principle aimed at deriving predictions of quantum mechanics on the type of correlations observed in the Bell experiment. We present a technique for obtaining inequalities from information causality, bounding the set of physical correlations in any Bell scenario.
  arXiv  Detail & Related papers  (2023-08-04T17:40:53Z)
• Semi-device independent nonlocality certification for near-term quantum networks [46.37108901286964]
  Bell tests are the most rigorous method for verifying entanglement in quantum networks. If there is any signaling between the parties, then the violation of Bell inequalities can no longer be used. We propose a semi-device independent protocol that allows us to numerically correct for effects of correlations in experimental probability distributions.
  arXiv  Detail & Related papers  (2023-05-23T14:39:08Z)
• A Measure-Theoretic Axiomatisation of Causality [55.6970314129444]
  We argue in favour of taking Kolmogorov's measure-theoretic axiomatisation of probability as the starting point towards an axiomatisation of causality. Our proposed framework is rigorously grounded in measure theory, but it also sheds light on long-standing limitations of existing frameworks.
  arXiv  Detail & Related papers  (2023-05-19T13:15:48Z)
• From no-signalling to quantum states [0.0]
  Characterising quantum correlations from physical principles is a central problem in the field of quantum information theory. We suggest a natural generalisation of no-signalling in the form of no-disturbance to dilated systems.
  arXiv  Detail & Related papers  (2022-04-25T07:06:17Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• A general framework for cyclic and fine-tuned causal models and their compatibility with space-time [2.0305676256390934]
  Causal modelling is a tool for generating causal explanations of observed correlations. Existing frameworks for quantum causality tend to focus on acyclic causal structures that are not fine-tuned. Cyclist causal models can be used to model physical processes involving feedback. Cyclist causal models may also be relevant in exotic solutions of general relativity.
  arXiv  Detail & Related papers  (2021-09-24T18:00:08Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Observers of quantum systems cannot agree to disagree [55.41644538483948]
  We ask whether agreement between observers can serve as a physical principle that must hold for any theory of the world. We construct examples of (postquantum) no-signaling boxes where observers can agree to disagree.
  arXiv  Detail & Related papers  (2021-02-17T19:00:04Z)
• Approaches to causality and multi-agent paradoxes in non-classical theories [0.0]
  This thesis reports progress in the analysis of causality and multi-agent logical paradoxes in quantum and post-quantum theories. We develop techniques for using generalised entropies to analyse distinctions between classical and non-classical causal structures. We develop a framework for modelling cyclic and fine-tuned influences in non-classical theories.
  arXiv  Detail & Related papers  (2021-02-04T03:35:57Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.