Comparing the cost of violating causal assumptions in Bell experiments: locality, free choice and arrow-of-time

• URL: http://arxiv.org/abs/2408.12740v1
• Date: Thu, 22 Aug 2024 21:46:40 GMT
• Title: Comparing the cost of violating causal assumptions in Bell experiments: locality, free choice and arrow-of-time
• Authors: Pawel Blasiak, Christoph Gallus,
• Abstract summary: This paper follows up on the results in PNAS 118 e2020569118 (2021), showing the equivalence between the locality and free choice assumptions. We consider more challenging causal scenarios which allow only single-arrow type violations of a given assumption.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The causal modelling of Bell experiments relies on three fundamental assumptions: locality, freedom of choice, and arrow-of-time. It turns out that nature violates Bell inequalities, which entails the failure of at least one of those assumptions. Since rejecting any of them - even partially - proves to be enough to explain the observed correlations, it is natural to ask about the cost in each case. This paper follows up on the results in PNAS 118 e2020569118 (2021), showing the equivalence between the locality and free choice assumptions, adding to the picture retro-causal models explaining the observed correlations. Here, we consider more challenging causal scenarios which allow only single-arrow type violations of a given assumption. The figure of merit chosen for the comparison of the causal cost is defined as the minimal frequency of violation of the respective assumption required for a simulation of the observed experimental statistics.

Related papers

• Why quantum correlations are shocking [0.0]
  A simple minimalist argument is given for why some correlations between quantum systems boggle our classical intuition. The argument relies on two elementary physical assumptions, and recovers the standard experimentally-testable Bell inequality.
  arXiv  Detail & Related papers  (2024-06-18T20:11:35Z)
• Invariant Causal Prediction with Local Models [52.161513027831646]
  We consider the task of identifying the causal parents of a target variable among a set of candidates from observational data. We introduce a practical method called L-ICP ($textbfL$ocalized $textbfI$nvariant $textbfCa$usal $textbfP$rediction), which is based on a hypothesis test for parent identification using a ratio of minimum and maximum statistics.
  arXiv  Detail & Related papers  (2024-01-10T15:34:42Z)
• Bell's theorem is an exercise in the statistical theory of causality [0.0]
  I derive the Bell-CHSH inequalities as an result in the present-day theory of statistical causality based on graphical models or Bayes' nets. Case of contextual setting-dependent hidden variables is covered, despite recent claims that Bell's conclusions can be circumvented in this way.
  arXiv  Detail & Related papers  (2022-11-10T13:47:08Z)
• Active Bayesian Causal Inference [72.70593653185078]
  We propose Active Bayesian Causal Inference (ABCI), a fully-Bayesian active learning framework for integrated causal discovery and reasoning. ABCI jointly infers a posterior over causal models and queries of interest. We show that our approach is more data-efficient than several baselines that only focus on learning the full causal graph.
  arXiv  Detail & Related papers  (2022-06-04T22:38:57Z)
• Experimentally adjudicating between different causal accounts of Bell inequality violations via statistical model selection [0.0]
  Bell inequalities follow from a set of seemingly natural assumptions about how to provide a causal model of a Bell experiment. Two types of causal models that modify some of these assumptions have been proposed. We seek to adjudicate between these alternatives based on their predictive power.
  arXiv  Detail & Related papers  (2021-07-30T19:33:02Z)
• Arbitrary Measurement dependence in tripartite non-locality [0.0]
  We study the minimum degree of relaxation required to simulate violations of various well-known tripartite Bell inequalities. Local deterministic models are also provided to achieve the violations of these Bell inequalities.
  arXiv  Detail & Related papers  (2021-07-26T22:13:57Z)
• Typing assumptions improve identification in causal discovery [123.06886784834471]
  Causal discovery from observational data is a challenging task to which an exact solution cannot always be identified. We propose a new set of assumptions that constrain possible causal relationships based on the nature of the variables.
  arXiv  Detail & Related papers  (2021-07-22T14:23:08Z)
• Violations of locality and free choice are equivalent resources in Bell experiments [0.0]
  Bell inequalities rest on three fundamental assumptions: realism, locality, and free choice. We investigate the extent to which a given assumption needs to be relaxed for the other to hold at all costs. Despite their disparate character, we show that both assumptions are equally costly.
  arXiv  Detail & Related papers  (2021-05-19T10:04:38Z)
• Causal Expectation-Maximisation [70.45873402967297]
  We show that causal inference is NP-hard even in models characterised by polytree-shaped graphs. We introduce the causal EM algorithm to reconstruct the uncertainty about the latent variables from data about categorical manifest variables. We argue that there appears to be an unnoticed limitation to the trending idea that counterfactual bounds can often be computed without knowledge of the structural equations.
  arXiv  Detail & Related papers  (2020-11-04T10:25:13Z)
• A Weaker Faithfulness Assumption based on Triple Interactions [89.59955143854556]
  We propose a weaker assumption that we call $2$-adjacency faithfulness. We propose a sound orientation rule for causal discovery that applies under weaker assumptions.
  arXiv  Detail & Related papers  (2020-10-27T13:04:08Z)
• Using Randomness to decide among Locality, Realism and Ergodicity [91.3755431537592]
  An experiment is proposed to find out, or at least to get an indication about, which one is false. The results of such experiment would be important not only to the foundations of Quantum Mechanics.
  arXiv  Detail & Related papers  (2020-01-06T19:26:32Z)

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.