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We recently performed cognitive experiments on conjunctions and negations of two concepts with the aim of investigating the combination problem of concepts. Our experiments confirmed the deviations (conceptual vagueness, underextension,…

Artificial Intelligence · Computer Science 2016-09-09 Diederik Aerts , Sandro Sozzo , Tomas Veloz

In the present article we use the quantum formalism to describe the effects of risk and ambiguity in decision theory. The main idea is that the probabilities in the classic theory of expected utility are estimated probabilities, and thus do…

General Physics · Physics 2011-09-21 Riccardo Franco

The landscape of causal relations that can hold among a set of systems in quantum theory is richer than in classical physics. In particular, a pair of time-ordered systems can be related as cause and effect or as the effects of a common…

Quantum Physics · Physics 2017-07-20 Katja Ried , Jean-Philippe W. MacLean , Robert W. Spekkens , Kevin J. Resch

An important issue in concurrency is interference. This issue manifests itself in both shared-variable and communication-based concurrency --- this paper focusses on the former case where interference is caused by the environment of a…

Logic in Computer Science · Computer Science 2016-01-12 Cliff B. Jones , Ian J. Hayes

Demonstrations of quantum entanglement which confirm the violation of Bell's inequality indicate that under certain conditions action at a distance is possible. This consequence seems to contradict the relativistic principle of causality,…

Quantum Physics · Physics 2018-11-02 Yoram Kirsh

We investigate how the choice of decision makers can be varied under the presence of risk and uncertainty. Our analysis is based on the approach we have previously applied to individual decision makers, which we now generalize to the case…

Physics and Society · Physics 2014-09-03 V. I. Yukalov , D. Sornette

The expected utility hypothesis is one of the building blocks of classical economic theory and founded on Savage's Sure-Thing Principle. It has been put forward, e.g. by situations such as the Allais and Ellsberg paradoxes, that real-life…

Physics and Society · Physics 2012-03-28 Diederik Aerts , Jan Broekaert , Marek Czachor , Bart D'Hooghe

We demonstrate the quantum probabilistic rule (which differ from classical Bayes' formula by the cosinus factor) can be obtained on purely classical basis as a consequence of the perturbation effect of preparation procedures. In any case…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

Though the topic of causal inference is typically considered in the context of classical statistical models, recent years have seen great interest in extending causal inference techniques to quantum and generalized theories. Causal…

Logic in Computer Science · Computer Science 2023-11-16 Isaac Friend , Aleks Kissinger

Explaining observations in terms of causes and effects is central to all of empirical science. Correlations between entangled quantum particles, however, seem to defy such an explanation. To recover a causal picture in this case, some of…

Quantum Physics · Physics 2016-09-05 M. Ringbauer , C. Giarmatzi , R. Chaves , F. Costa , A. G. White , A. Fedrizzi

The causal effects activated by a quantum interaction are studied, modelling the last one as a bipartite unitary channel. The two parties, say Alice and Bob, can use the channel to exchange messages -- i.e. to signal. On the other hand, the…

Quantum Physics · Physics 2025-05-21 Kathleen Barsse , Paolo Perinotti , Alessandro Tosini , Leonardo Vaglini

The fundamental problem of causal inference -- that we never observe counterfactuals -- prevents us from identifying how many might be negatively affected by a proposed intervention. If, in an A/B test, half of users click (or buy, or…

Methodology · Statistics 2022-11-22 Nathan Kallus

Retrocausal models of QM add further weight to the conflict between causality and the possible existence of free will. We analyze a simple closed causal loop ensuing from the interaction between two systems with opposing thermodynamic time…

Quantum Physics · Physics 2016-01-12 Yakir Aharonov , Eliahu Cohen , Tomer Shushi

There are two major approaches to building good machine learning algorithms: feeding lots of data into large models, or picking a model class with an ''inductive bias'' that suits the structure of the data. When taking the second approach…

Quantum Physics · Physics 2023-12-08 Kaitlin Gili , Guillermo Alonso , Maria Schuld

The 'expected utility hypothesis' and 'Savage's Sure-Thing Principle' are violated in real life decisions, as shown by the 'Allais' and 'Ellsberg paradoxes'. The popular explanation in terms of 'ambiguity aversion' is not completely…

Physics and Society · Physics 2013-01-07 Diederik Aerts , Sandro Sozzo

A recently proposed model of the Dirac electron, which describes observed properties of the particle correctly, is in the present paper shown to be also able to explain quantum interference by classical probabilities. According to this…

General Physics · Physics 2019-05-01 Arend Niehaus

Dynamics of a particle is formulated from classical principles that are amended by the uncertainty principle. Two best known quantum effects: interference and tunneling are discussed from these principles. It is shown that identical to…

Quantum Physics · Physics 2007-05-23 N. Klipa , S. D. Bosanac

Classifying the information content of neural spike trains in a linguistic endeavor, an uncertainty relation emerges between the bit size of a word and its duration. This uncertainty is associated with the task of synchronizing the spike…

Neurons and Cognition · Quantitative Biology 2015-06-02 F. Tito Arecchi

In many areas of engineering and sciences, decision rules and control strategies are usually designed based on nominal values of relevant system parameters. To ensure that a control strategy or decision rule will work properly when the…

Probability · Mathematics 2020-06-16 Xinjia Chen

We probe the foundations of causal structure inference experimentally. The causal structure concerns which events influence other events. We probe whether causal structure can be determined without intervention in quantum systems.…

Quantum Physics · Physics 2024-11-12 Hongfeng Liu , Xiangjing Liu , Qian Chen , Yixian Qiu , Vlatko Vedral , Xinfang Nie , Oscar Dahlsten , Dawei Lu
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