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There have been suggestions within the Information Retrieval (IR) community that quantum mechanics (QM) can be used to help formalise the foundations of IR. The invoked connection to QM is mathematical rather than physical. The proposed…

Information Retrieval · Computer Science 2018-09-18 Elham Ashoori , Terry Rudolph

Information-theoretic derivations of the formalism of quantum theory have recently attracted much attention. We analyze the axioms underlying a few such derivations and propose a conceptual framework in which, by combining several…

Quantum Physics · Physics 2007-05-23 Alexei Grinbaum

In this thesis I present a short review of ideas in quantum information theory. The first chapter contains introductory material, sketching the central ideas of probability and information theory. Quantum mechanics is presented at the level…

Quantum Physics · Physics 2007-05-23 Robert H. Schumann

As a result of the capabilities of quantum information, the science of quantum information processing is now a prospering, interdisciplinary field focused on better understanding the possibilities and limitations of the underlying theory,…

Quantum Physics · Physics 2007-05-23 E. Knill , R. Laflamme , H. Barnum , D. Dalvit , J. Dziarmaga , J. Gubernatis , L. Gurvits , G. Ortiz , L. Viola , W. H. Zurek

Quantum information is an emerging field which has attracted a lot of attention in the last fifteen years or so. It is a broad subject which covers from the most applied questions (e.g., how to build quantum computers or secure…

Quantum Physics · Physics 2015-04-22 Carlos Navarrete-Benlloch

Since 2004, researchers have been using the mathematical framework of Quantum Theory (QT) in Information Retrieval (IR). QT offers a generalized probability and logic framework. Such a framework has been shown capable of unifying the…

Information Retrieval · Computer Science 2020-07-10 Sagar Uprety , Dimitris Gkoumas , Dawei Song

Experiments in cognitive science and decision theory show that the ways in which people combine concepts and make decisions cannot be described by classical logic and probability theory. This has serious implications for applied disciplines…

Artificial Intelligence · Computer Science 2013-01-08 Diederik Aerts , Liane Gabora , Sandro Sozzo , Tomas Veloz

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

We present an information-theoretic interpretation of quantum formalism based on a Bayesian framework and devoid of any extra axiom or principle. Quantum information is construed as a technique for analyzing a logical system subject to…

Information Theory · Computer Science 2020-12-01 Michel Feldmann

In this paper a system-oriented formalism of Quantum Information Processing is presented. Its form resembles that of standard signal processing, although further complexity is added in order to describe pure quantum-mechanical effects and…

Quantum Physics · Physics 2007-05-23 Marcos Curty , David J. Santos

Quantum information theory is the study of the achievable limits of information processing within quantum mechanics. Many different types of information can be accommodated within quantum mechanics, including classical information, coherent…

Quantum Physics · Physics 2007-05-23 M. A. Nielsen

One hundred years after the creation of quantum theory, there is no consensus on the kind of reality that is described by the theory. Here, I attribute the lack of progress to the prevailing interpretative methodology, which invariably…

Quantum Physics · Physics 2026-04-02 Philip Goyal

These notes are an elaboration on: (i) a short course that I gave at the IPhT-Saclay in May-June 2012; (ii) a previous letter on reversibility in quantum mechanics. They present an introductory, but hopefully coherent, view of the main…

Mathematical Physics · Physics 2012-11-27 Francois David

Quantum information, a field in which great advances have been made in the past decades, now presents opportunities for chemistry. One roadblock to progress, especially for experimental chemical science, is that new concepts and technical…

Quantum Physics · Physics 2024-04-22 Weijun Wu , Gregory D. Scholes

We propose a system of information-theoretic axioms from which we derive the formalism of quantum theory. Part I is devoted to the conceptual foundations of the information-theoretic approach. We argue that this approach belongs to the…

Quantum Physics · Physics 2016-09-08 Alexei Grinbaum

Does information play a significant role in the foundations of physics? Information is the abstraction that allows us to refer to the states of systems when we choose to ignore the systems themselves. This is only possible in very…

Quantum Physics · Physics 2014-03-05 Lluis Masanes , Markus P. Mueller , Remigiusz Augusiak , David Perez-Garcia

Quantum information theory represents a rich subject of discussion for those interested in the philosphical and foundational issues surrounding quantum mechanics for a simple reason: one can cast its central concerns in terms of a…

Quantum Physics · Physics 2007-05-23 Christopher G Timpson

Quantum technology is full of figurative and literal noise obscuring its promise. In this overview, we will attempt to provide a sober assessment of the promise of quantum technology with a focus on computing. We provide a tour of quantum…

Quantum Physics · Physics 2022-06-08 James D. Whitfield , Jun Yang , Weishi Wang , Joshuah T. Heath , Brent Harrison

After more than a century since its birth, Quantum Theory still eludes our understanding. If asked to describe it, we have to resort to abstract and ad hoc principles about complex Hilbert spaces. How is it possible that a fundamental…

Quantum Physics · Physics 2012-10-09 G. Chiribella , G. M. D'Ariano , P. Perinotti

The mathematical formalism of quantum theory has been successfully used in human cognition to model decision processes and to deliver representations of human knowledge. As such, quantum cognition inspired tools have improved technologies…

Computation and Language · Computer Science 2015-12-31 Diederik Aerts , Jan Broekaert , Sandro Sozzo , Tomas Veloz
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