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In this review we attempt to present an overview of some of the better known quantization techniques found in the current literature and used both by physicists and mathematicians. The treatment is more descriptive than rigorous, for we aim…

Mathematical Physics · Physics 2010-11-24 S. Twareque Ali , Miroslav Engliš

Recent years have seen a dramatic expansion of tasks and datasets posed as question answering, from reading comprehension, semantic role labeling, and even machine translation, to image and video understanding. With this expansion, there…

Computation and Language · Computer Science 2019-09-26 Matt Gardner , Jonathan Berant , Hannaneh Hajishirzi , Alon Talmor , Sewon Min

We highlight some facts about continued fractions of real cubic irrationalities. This may be thought as a small section in a textbook on continued fractions.

Number Theory · Mathematics 2023-11-29 Wadim Zudilin

In the QBist approach to quantum mechanics, a measurement is an action an agent takes on the world external to herself. A measurement device is an extension of the agent and both measurement outcomes and their probabilities are personal to…

Quantum Physics · Physics 2023-12-14 Rüdiger Schack

This is a philosophy-intense physics article, or, if you wish, a physics-intense philosophy article. Also, being a mathematician, I tend to view the physics, in particular the essence of quantum physics, in emphasizing the mathematical…

History and Overview · Mathematics 2012-08-24 Eliahu Levy

We collect here various conjectures on congruences made by the author in a series of papers, some of which involve binary quadratic forms and other advanced theories. Part A consists of 100 unsolved conjectures of the author while…

Number Theory · Mathematics 2015-03-13 Zhi-Wei Sun

This study has the purpose of addressing four questions that lie at the base of the probability theory and statistics, and includes two main steps. As first, we conduct the textual analysis of the most significant works written by eminent…

History and Overview · Mathematics 2019-01-15 Paolo Rocchi

We consider the implications of some simple assumptions about the nature of the quantum theory of gravity which are plausible for a class of possible theories I have been attempting to construct. The simple assumptions turn out to have…

High Energy Physics - Theory · Physics 2007-05-23 Louis Crane

We address the response, both in amplitude and intensity, of a Fabry-Perot from a variety of viewpoints. These complementary pictures conspire to achieve a comprehensive and consistent theory of the operation of this system.

Optics · Physics 2016-10-20 Luis L. Sanchez-Soto , Juan J. Monzon , Gerd Leuchs

The slogan information is physical has been so successful that it led to some excess. Classical and quantum information can be thought of independently of any physical implementation. Pure information tasks can be realized using such…

Quantum Physics · Physics 2007-05-23 N. Gisin

In what capacity are affective augmentations helpful to humans, and what risks (if any) do they pose? In this position paper, we outline three works on affective augmentation systems, where our studies suggest these systems have the ability…

Human-Computer Interaction · Computer Science 2023-04-03 Abdallah El Ali

Even though quantum mechanics has existed for almost 100 years, questions concerning the foundation and interpretation of the theory still remain. These issues have gathered more attention in recent years, but does this mean that physicists…

History and Philosophy of Physics · Physics 2016-12-05 Sujeevan Sivasundaram , Kristian Hvidtfelt Nielsen

It is argued that systematically unbiassing estimators is not always justified and can be counter-productive. On the contrary, a general rule is given to build a (slightly) biased but consistent estimator which is always closer to the value…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jean-Michel Levy

Understanding instructor attitudes and approaches to teaching quantum mechanics can be helpful in developing research-based learning tools. Here we discuss the findings from a survey in which 13 instructors reflected on issues related to…

Physics Education · Physics 2016-03-22 Shabnam Siddiqui , Chandralekha Singh

We argue about a conceptual approach to quantum formalism. Starting from philosophical conjectures (Platonism, Idealism and Realism) as basic ontic elements (namely: math world, data world, and state of matter), we will analyze the quantum…

Quantum Physics · Physics 2007-05-23 Helen Lynn , Michele Caponigro

This article reviews the extraordinary features of quantum information predicted by the quantum formalism, which, combined with the development of modern quantum technologies, have opened new horizons in quantum physics that can potentially…

Quantum Physics · Physics 2021-04-29 Ryszard Horodecki

The complexity of quantum computation remains poorly understood. While physicists attempt to find ways to create quantum computers, we still do not have much evidence one way or the other as to how useful these machines will be. The tools…

Quantum Physics · Physics 2007-05-23 Lance Fortnow

The Bayesian approach to quantum mechanics of Caves, Fuchs and Schack is presented. Its conjunction of realism about physics along with anti-realism about much of the structure of quantum theory is elaborated; and the position defended from…

Quantum Physics · Physics 2008-04-15 Christopher G. Timpson

We formulate some problems and conjectures about semigroups of rational functions under composition. The considered problems arise in different contexts, but most of them are united by a certain relationship to the concept of amenability.

Dynamical Systems · Mathematics 2022-02-24 Fedor Pakovich

The answers on the current status and future development of Quantum Science and Technology are presented.

Quantum Physics · Physics 2026-01-16 S. Radenkovic , M. Dugic , I. Radojevic
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