On safe post-selection for Bell tests with ideal detectors: Causal diagram approach

• URL: http://arxiv.org/abs/2012.07285v3
• Date: Sun, 7 Nov 2021 05:11:58 GMT
• Title: On safe post-selection for Bell tests with ideal detectors: Causal diagram approach
• Authors: Pawel Blasiak, Ewa Borsuk, Marcin Markiewicz
• Abstract summary: We discuss a broad class of scenarios with post-selection on multiple spatially distributed outcomes. A simple criterion is worked out, called the all-but-one principle, showing when the conclusions about nonlocality from breaking Bell inequalities with post-selected data remain in force.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Reasoning about Bell nonlocality from the correlations observed in post-selected data is always a matter of concern. This is because conditioning on the outcomes is a source of non-causal correlations, known as a selection bias, rising doubts whether the conclusion concerns the actual causal process or maybe it is just an effect of processing the data. Yet, even in the idealised case without detection inefficiencies, post-selection is an integral part of experimental designs, not least because it is a part of the entanglement generation process itself. In this paper we discuss a broad class of scenarios with post-selection on multiple spatially distributed outcomes. A simple criterion is worked out, called the all-but-one principle, showing when the conclusions about nonlocality from breaking Bell inequalities with post-selected data remain in force. Generality of this result, attained by adopting the high-level diagrammatic tools of causal inference, provides safe grounds for systematic reasoning based on the standard form of multipartite Bell inequalities in a wide array of entanglement generation schemes, without worrying about the dangers of selection bias. In particular, it can be applied to post-selection defined by single-particle events in each detection chanel when the number of particles in the system is conserved.

Related papers

• Detecting and Identifying Selection Structure in Sequential Data [53.24493902162797]
  We argue that the selective inclusion of data points based on latent objectives is common in practical situations, such as music sequences. We show that selection structure is identifiable without any parametric assumptions or interventional experiments. We also propose a provably correct algorithm to detect and identify selection structures as well as other types of dependencies.
  arXiv  Detail & Related papers  (2024-06-29T20:56:34Z)
• Causal Feature Selection via Transfer Entropy [59.999594949050596]
  Causal discovery aims to identify causal relationships between features with observational data. We introduce a new causal feature selection approach that relies on the forward and backward feature selection procedures. We provide theoretical guarantees on the regression and classification errors for both the exact and the finite-sample cases.
  arXiv  Detail & Related papers  (2023-10-17T08:04:45Z)
• Nonparametric Identifiability of Causal Representations from Unknown Interventions [63.1354734978244]
  We study causal representation learning, the task of inferring latent causal variables and their causal relations from mixtures of the variables. Our goal is to identify both the ground truth latents and their causal graph up to a set of ambiguities which we show to be irresolvable from interventional data.
  arXiv  Detail & Related papers  (2023-06-01T10:51:58Z)
• Shortcomings of Top-Down Randomization-Based Sanity Checks for Evaluations of Deep Neural Network Explanations [67.40641255908443]
  We identify limitations of model-randomization-based sanity checks for the purpose of evaluating explanations. Top-down model randomization preserves scales of forward pass activations with high probability.
  arXiv  Detail & Related papers  (2022-11-22T18:52:38Z)
• 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)
• Coincidence postselection for genuine multipartite nonlocality: Causal diagrams and threshold efficiencies [0.0]
  We show how to close the detection loophole for a coincidence detection in demonstrations of nonlocality and GMN. Our results imply that genuine $N$-partite nonlocality can be generated from $N$ independent particle sources even when allowing for non-ideal detectors.
  arXiv  Detail & Related papers  (2022-07-27T15:21:38Z)
• Bounding Counterfactuals under Selection Bias [60.55840896782637]
  We propose a first algorithm to address both identifiable and unidentifiable queries. We prove that, in spite of the missingness induced by the selection bias, the likelihood of the available data is unimodal.
  arXiv  Detail & Related papers  (2022-07-26T10:33:10Z)
• 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)
• 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)
• Bell Inequality Violation and Relativity of Pre- and Postselection [0.0]
  The Bell inequalities can be violated by postselecting on the results of a measurement of the Bell states. We propose a variant of existing experiments that rules out such alternative explanations. We call this'relativity of pre- and postselection'
  arXiv  Detail & Related papers  (2020-02-10T16:45:12Z)

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.