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One of the fundamental arguments in quantum information theory is the uncertainty principle. In accordance with this principle, two incompatible observables cannot be measured with high precision at the same time. In this work, we will use…

Quantum Physics · Physics 2024-01-26 Shahram Mehrmanesh , Maryam Hadipour , Soroush Haseli

The notion of quantum information related to the two different perspectives of the global and local states is examined. There is circularity in the definition of quantum information because we can speak only of the information of systems…

Quantum Physics · Physics 2007-05-23 Subhash Kak

We look into the ontology of quantum theory as distinct from that of the classical theory in the sciences, following a broadly Kantian tradition and distinguishing between the noumenal and phenomenal realities where the former is…

Quantum Physics · Physics 2023-07-25 Avijit Lahiri

As a main field of artificial intelligence, natural language processing (NLP) has achieved remarkable success via deep neural networks. Plenty of NLP tasks have been addressed in a unified manner, with various tasks being associated with…

Computation and Language · Computer Science 2023-06-08 Mengting Hu , Zhen Zhang , Shiwan Zhao , Minlie Huang , Bingzhe Wu

A steadily increasing body of evidence suggests that the brain performs probabilistic inference to interpret and respond to sensory input and that trial-to-trial variability in neural activity plays an important role. The neural sampling…

Neurons and Cognition · Quantitative Biology 2017-07-07 Ilja Bytschok , Dominik Dold , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

Written language is a complex communication signal capable of conveying information encoded in the form of ordered sequences of words. Beyond the local order ruled by grammar, semantic and thematic structures affect long-range patterns in…

Physics and Society · Physics 2010-05-17 Marcelo A. Montemurro , Damian Zanette

We show that language models hallucinate not because they fail to detect uncertainty, but because of a failure to integrate it into output generation. Across architectures, uncertain inputs are reliably identified, occupying…

Artificial Intelligence · Computer Science 2026-03-17 Valeria Ruscio , Keiran Thompson

The sum of entropic uncertainties for the measurement of two non-commuting observables is not always reduced by the amount of entanglement (quantum memory) between two parties, and in certain cases may be impacted by quantum correlations…

Quantum Physics · Physics 2016-07-13 T. Pramanik , S. Mal , A. S. Majumdar

Meaningful uncertainty quantification in computer vision requires reasoning about semantic information -- say, the hair color of the person in a photo or the location of a car on the street. To this end, recent breakthroughs in generative…

Computer Vision and Pattern Recognition · Computer Science 2022-12-02 Swami Sankaranarayanan , Anastasios N. Angelopoulos , Stephen Bates , Yaniv Romano , Phillip Isola

Quantum systems are the ultimate touchstone for the production of random sequences of numbers. Spatially spread entangled systems allow the generation of identical random sequences in remote locations. The impossibility of observing a…

Quantum Physics · Physics 2018-10-31 Marcelo G. Kovalsky , Alejandro A. Hnilo , Mónica B. Agüero

The measurement range problem, where one cannot determine the data outside the range of the detector, limits the characterization of entanglement in high-dimensional quantum systems when employing, among other tools from information theory,…

Quantum Physics · Physics 2019-02-01 J. Eli Bourassa , Hoi-Kwong Lo

Lexical ambiguity is widespread in language, allowing for the reuse of economical word forms and therefore making language more efficient. If ambiguous words cannot be disambiguated from context, however, this gain in efficiency might make…

Computation and Language · Computer Science 2024-05-29 Tiago Pimentel , Rowan Hall Maudslay , Damián Blasi , Ryan Cotterell

The uncertainty principle sets a bound on our ability to predict the measurement outcomes of two incompatible observables which are measured on a quantum particle simultaneously. In quantum information theory, the uncertainty principle can…

Quantum Physics · Physics 2019-12-03 H. Dolatkhah , S. Haseli , S. Salimi , A. s. Khorashad

Elucidating the language-brain relationship requires bridging the methodological gap between the abstract theoretical frameworks of linguistics and the empirical neural data of neuroscience. Serving as an interdisciplinary cornerstone,…

Neurons and Cognition · Quantitative Biology 2026-02-16 Fudong Zhang , Bo Chai , Yujie Wu , Wai Ting Siok , Nizhuan Wang

Unspeakable coherence is a key feature separating quantum and classical physics. Modelled as asymmetry with respect to a continuous transformation generated by a physically relevant observable, such as the Hamiltonian or angular moment,…

Quantum Physics · Physics 2025-12-05 Benjamin Stratton , Chung-Yun Hsieh , Paul Skrzypczyk

Quantum correlations represent a fundamental tool for studies ranging from basic science to quantum technologies. Different non-classical correlations have been identified and studied, as entanglement and discord. In view of future…

Quantum Physics · Physics 2016-12-15 E. Moreva , M. Gramegna , M. A. Yurischev , M. Genovese

We note the separation of a quantum description of an experiment into a statement of results (as probabilities) and an explanation of these results (in terms of linear operators). The inverse problem of choosing an explanation to fit given…

Quantum Physics · Physics 2009-11-13 John M. Myers , F. Hadi Madjid

Quantifying uncertainty in large language models (LLMs) is important for safety-critical applications because it helps spot incorrect answers, known as hallucinations. One major trend of uncertainty quantification methods is based on…

Computation and Language · Computer Science 2025-10-07 Lucie Kunitomo-Jacquin , Edison Marrese-Taylor , Ken Fukuda

To maintain coherence in language, the brain must satisfy key competing temporal demands: the gradual accumulation of meaning across extended context (drift) and the rapid reconfiguration of representations at event boundaries (shift). How…

Quantum entanglement is a key resource in quantum computing and quantum information processing tasks. However, its quantification remains a major challenge since it cannot be directly extracted from physical observables. To address this…

Quantum Physics · Physics 2025-12-29 Shruti Aggarwal , Trasha Gupta , R. K. Agrawal , S. Indu
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