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We establish a strong link between two apparently unrelated topics: the study of conflicting information in the formal framework of valuation algebras, and the phenomena of non-locality and contextuality. In particular, we show that these…

量子物理 · 物理学 2019-11-12 Samson Abramsky , Giovanni Carù

A unifying framework for the study of causal relations is presented. The causal relations are regarded as subsets of M x M and the role of the corresponding antisymmetry conditions in the construction of the causal ladder is stressed. The…

广义相对论与量子宇宙学 · 物理学 2011-07-08 E. Minguzzi

Quantum theory is in principle compatible with scenarios where physical processes occur in an indefinite order, potentially yielding advantages in a broad range of information processing tasks. However, advantages in communication, the most…

量子物理 · 物理学 2026-03-26 Xuanqiang Zhao , Benchi Zhao , Cyril Branciard , Giulio Chiribella

In this paper, we argue that spacetime in causal fermion systems can be understood as the web of correlations of a many-body quantum system.This argument highlights the fact that causal fermion systems is a completely relational theory. We…

数学物理 · 物理学 2025-04-29 Patrick Fischer , Claudio F. Paganini

An indefinite causal order, where the causes of events are not necessarily in past events, is predicted by the process matrix framework. A fundamental question is how these non-separable causal structures can be related to the thermodynamic…

量子物理 · 物理学 2022-10-20 Gianluca Francica

In his article in Science, Nicolas Gisin claimed that quantum correlations emerge from outside space time. We explain that they are due to space time symmetries. This paper is a critical review of metaphysical conclusions found in many…

量子物理 · 物理学 2024-02-29 Marian Kupczynski

Discovery of causal relations is fundamental for understanding the dynamics of complex systems. While causal interactions are well defined for acyclic systems that can be separated into causally effective subsystems, a mathematical…

数据分析、统计与概率 · 物理学 2017-10-11 Daniel Harnack , Erik Laminski , Klaus Richard Pawelzik

In all our well-established theories, it is assumed that events are embedded in a global causal structure such that, for every pair of events, the causal order between them is always fixed. However, the possible interplay between quantum…

量子物理 · 物理学 2016-11-22 Flaminia Giacomini , Esteban Castro-Ruiz , Časlav Brukner

Causality violations are typically seen as unrealistic and undesirable features of a physical model. The following points out three reasons why causality violations, which Bonnor and Steadman identified even in solutions to the Einstein…

广义相对论与量子宇宙学 · 物理学 2010-03-23 Hunter Monroe

Causality never gained the status of a "law" or "principle" in physics. Some recent literature even popularized the false idea that causality is a notion that should be banned from theory. Such misconception relies on an alleged…

量子物理 · 物理学 2019-09-19 Giacomo Mauro D'Ariano

Distributional robustness is a central goal of prediction algorithms due to the prevalent distribution shifts in real-world data. The prediction model aims to minimize the worst-case risk among a class of distributions, a.k.a., an…

机器学习 · 统计学 2025-05-20 Marin Šola , Peter Bühlmann , Xinwei Shen

Understanding causal relations between temporal variables is a central challenge in time series analysis, particularly when the full causal structure is unknown. Even when the full causal structure cannot be fully specified, experts often…

人工智能 · 计算机科学 2026-03-16 Timothée Loranchet , Charles K. Assaad

This paper explains why internal and external validity cannot be simultaneously maximised. It introduces "evidential states" to represent the information available for causal inference and shows that routine study operations (restriction,…

应用统计 · 统计学 2025-12-01 Daniel D. Reidpath

Determining and measuring cause-effect relationships is fundamental to most scientific studies of natural phenomena. The notion of causation is distinctly different from correlation which only looks at association of trends or patterns in…

统计方法学 · 统计学 2019-10-22 Aditi Kathpalia , Nithin Nagaraj

We demonstrate that the local nonfreeness, an unbiased measure of correlation between electrons at a single lattice site, can be computed as the mutual information between local natural spin orbitals. This leads us to prove a general…

强关联电子 · 物理学 2026-04-29 Gabriele Bellomia , Adriano Amaricci , Massimo Capone

We introduce a class of variational principles on measure spaces which are causal in the sense that they generate a relation on pairs of points, giving rise to a distinction between spacelike and timelike separation. General existence…

数学物理 · 物理学 2014-04-23 Felix Finster

We address the problem of whether parties who cannot communicate but share nonsignaling quantum correlations between the outcomes of sharp measurements can distinguish, just from the value of a correlation observable, whether their outcomes…

量子物理 · 物理学 2017-07-24 Zhen-Peng Xu , Adan Cabello

The recently developed framework for quantum theory with no global causal order allows for quantum processes in which operations in local laboratories are neither causally ordered nor in a probabilistic mixture of definite causal orders.…

量子物理 · 物理学 2016-09-21 Veronika Baumann , Časlav Brukner

One of Yakir Aharonov's endlessly captivating physics ideas is the conjecture that two axioms, namely relativistic causality ("no superluminal signalling") and nonlocality, so nearly contradict each other that a unique theory - quantum…

量子物理 · 物理学 2015-06-22 Daniel Rohrlich

Outcome-dependent sampling designs are common in many different scientific fields including epidemiology, ecology, and economics. As with all observational studies, such designs often suffer from unmeasured confounding, which generally…

统计方法学 · 统计学 2020-10-13 Erin E. Gabriel , Michael C. Sachs , Arvid Sjölander