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In this article, we describe various aspects of categorification of the structures appearing in information theory. These aspects include probabilistic models both of classical and quantum physics, emergence of F-manifolds, and motivic…

Information Theory · Computer Science 2021-08-12 Noemie Combe , Yuri I. Manin , Matilde Marcolli

We address the question whether there is a fundamental reason why quantum information is more fragile than classical information. We show that some answers can be found by considering the existence of quantum memories and their dimensional…

Quantum Physics · Physics 2013-05-21 Barbara M. Terhal

We present a conceptually clear introduction to quantum theory, deriving the theory from scratch from the point of view of quantum information. Different subsets of these lectures were taught to a wide variety of audiences, including…

Popular Physics · Physics 2025-04-15 Barak Shoshany

Whereas the entropy of any deterministic classical system described by a principle of least action is zero, one can assign a "quantum information" to quantum mechanical degree of freedom equal to Hausdorff area of the deviation from a…

Quantum Physics · Physics 2009-11-10 A. Granik , G. Chapline

The possibility of a quantum system to exhibit properties that are akin to both the classically held notions of being a particle and a wave, is one of the most intriguing aspects of the quantum description of nature. These aspects have been…

Quantum Physics · Physics 2025-01-23 Sreetama Das , Indranil Chakrabarty , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen

The interplay between two basic quantities -- quantum communication and information -- is investigated. Quantum communication is an important resource for quantum states shared by two parties and is directly related to entanglement.…

Quantum Physics · Physics 2009-11-07 Jonathan Oppenheim , Michal Horodecki , Ryszard Horodecki

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

In our previous arXiv papers ("The Information and the Matter", v1, v5; more systematically the informational conception is presented in the paper "The Information as Absolute", 2010) it was rigorously shown that Matter in our Universe -…

General Physics · Physics 2021-09-08 Sergey V. Shevchenko , Vladimir V. Tokarevsky

Quantum Computing is an exciting field that draws from information theory, computer science, mathematics, and quantum physics to process information in fundamentally new ways. There is an ongoing race to develop practical quantum computers…

Physics Education · Physics 2023-05-16 Tunde Kushimo , Beth Thacker

What makes quantum information science a science? These notes explore the idea that quantum information science may offer a powerful approach to the study of complex quantum systems. We discuss how to quantify complexity in quantum systems,…

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

We review a recent approach to the foundations of quantum mechanics inspired by quantum information theory. The approach is based on a general framework, which allows one to address a large class of physical theories which share basic…

Quantum Physics · Physics 2015-06-04 G. Chiribella , C. M. Scandolo

This topical review article gives an overview of the interplay between quantum information theory and thermodynamics of quantum systems. We focus on several trending topics including the foundations of statistical mechanics, resource…

Quantum Physics · Physics 2016-08-29 John Goold , Marcus Huber , Arnau Riera , Lídia del Rio , Paul Skrzypczyk

Quantum Computing is a new and exciting field at the intersection of mathematics, computer science and physics. It concerns a utilization of quantum mechanics to improve the efficiency of computation. Here we present a gentle introduction…

Quantum Physics · Physics 2007-08-03 Noson S. Yanofsky

Since the introduction of quantum mechanics, it has been taught mostly as a theoretical subject. It is also viewed as a theory that provides a best understanding of the nature, but which does not have much practical applications in our day…

Quantum Physics · Physics 2018-05-17 Anirban Pathak

Significant attention in the PER community has been paid to student cognition and reasoning processes in undergraduate quantum mechanics. Until recently, however, these same topics have remained largely unexplored in the context of emerging…

Physics Education · Physics 2023-04-26 Josephine C. Meyer , Gina Passante , Steven J. Pollock , Bethany R. Wilcox

A remarkable theorem by Clifton, Bub and Halvorson (2003)(CBH) characterizes quantum theory in terms of information--theoretic principles. According to Bub (2004, 2005) the philosophical significance of the theorem is that quantum theory…

Quantum Physics · Physics 2009-11-11 Amit Hagar , Meir Hemmo

We present a simple, accessible, yet rigorous outreach/educational program focused on quantum information science and technology for high-school and early undergraduate students. This program allows students to perform meaningful hands-on…

Physics Education · Physics 2020-08-11 Sophia E. Economou , Terry Rudolph , Edwin Barnes

The term quantum logic has different connotations for different people, having been considered as everything from a metaphysical attack on classical reasoning to an exercise in abstract algebra. Our aim here is to give a uniform…

Quantum Physics · Physics 2007-05-23 Bob Coecke , David Moore , Alexander Wilce

Attention to the very physical aspects of information characterizes the current research in quantum computation, quantum cryptography and quantum communication. In most of the cases quantum description of the system provides advantages over…

Quantum Physics · Physics 2016-09-08 Edward W. Piotrowski , Jan Sladkowski

Quantum computing has attracted much attention in recent decades, since it is believed to solve certain problems substantially faster than traditional computing methods. Theoretically, such an advance can be obtained by networks of the…

Optics · Physics 2022-12-21 Yifan Sun , Qian Li , Ling-Jun Kong , Jiangwei Shang , Xiangdong Zhang