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We give a non-technical introduction of the basic concepts of Quantum Information Theory along the distinction between possible and impossible machines. We then proceed to describe the mathematical framework of Quantum Information Theory.…

量子物理 · 物理学 2007-05-23 R. F. Werner

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…

量子物理 · 物理学 2013-05-21 Barbara M. Terhal

We present a concise introduction of basic concepts in quantum information theory and quantum mechanics prepared as an introduction for a general audience. In our approach the rules of quantum mechanics are presented in a simple form of…

量子物理 · 物理学 2013-03-12 J. A. Miszczak

Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being "classical" or "quantum" ceases to be a basic conceptual difference. The dynamics differs,…

量子物理 · 物理学 2015-05-13 C. Wetterich

Information is everywhere in nature which is very uncertain and unpredictable. But information, in itself, is a very ambiguous term. In this cursory write-up, we attempt to understand the formal meaning of information by quantifying…

经典物理 · 物理学 2024-09-20 Sagar Chakraborty

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…

物理教育 · 物理学 2023-04-26 Josephine C. Meyer , Gina Passante , Steven J. Pollock , Bethany R. Wilcox

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…

量子物理 · 物理学 2015-04-22 Carlos Navarrete-Benlloch

We consider quantum computation efficiency from a new perspective. The efficiency is reduced to its classical counterpart by imposing the semi-classical limit. We show that this reduction is caused by the fact that any elementary quantum…

量子物理 · 物理学 2019-11-11 Maksym Teslyk , Olena Teslyk

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…

量子物理 · 物理学 2016-09-08 Alexei Grinbaum

Interpretational problems with quantum mechanics can be phrased precisely by only talking about empirically accessible information. This prompts a mathematical reformulation of quantum mechanics in terms of classical mechanics. We survey…

量子物理 · 物理学 2017-03-31 Chris Heunen

Many important results in modern quantum information theory have been obtained for an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a…

量子物理 · 物理学 2016-09-08 Igor V. Volovich

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…

量子物理 · 物理学 2014-03-05 Lluis Masanes , Markus P. Mueller , Remigiusz Augusiak , David Perez-Garcia

Motivated by the sharp contrast between classical and quantum physics as probability theories, in these lecture notes I introduce the basic notions of operator algebras that are relevant for the algebraic approach to quantum physics.…

量子物理 · 物理学 2016-12-23 A. F. Reyes-Lega

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…

信息论 · 计算机科学 2020-12-01 Michel Feldmann

Classical and quantum information theory are simply explained. To be more specific it is clarified why Shannon entropy is used as measure of classical information and after a brief review of quantum mechanics it is possible to demonstrate…

量子物理 · 物理学 2007-05-23 Nikolaos P. Papadakos

t is well known that the difference between Quantum Mechanics and Classical Theory appears most crucially in the non Classical spin half of the former theory and the Wilson-Sommerfelt quantization rule. We argue that this is symptomatic of…

综合物理 · 物理学 2007-05-23 B. G. Sidharth

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…

人工智能 · 计算机科学 2013-01-08 Diederik Aerts , Liane Gabora , Sandro Sozzo , Tomas Veloz

Quantum mechanics---the theory describing the fundamental workings of nature---is famously counterintuitive: it predicts that a particle can be in two places at the same time, and that two remote particles can be inextricably and…

A strategy is suggested for teaching mathematically literate students, with no background in physics, just enough quantum mechanics for them to understand and develop algorithms in quantum computation and quantum information theory.…

量子物理 · 物理学 2009-11-07 N. David Mermin

These lecture notes are an informal introduction to the theory of computational complexity and its links to quantum computing and statistical mechanics.

统计力学 · 物理学 2009-09-25 Stephan Mertens