Topic
Coherent information
About: Coherent information is a research topic. Over the lifetime, 1225 publications have been published within this topic receiving 46672 citations.
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Book•
17 Nov 2016
TL;DR: In this paper, the authors provide a unified view of quantum information theory by merging key topics from both information-theoretic and quantum- mechanical viewpoints and provide lucid explanations of the basic results.
Abstract: This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption. Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics all of which are addressed here made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation. With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newlydiscovered uncertainty relation are explained. Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information. To aid in understanding, each chapter is accompanied by a set of exercises and solutions.
97 citations
TL;DR: It is shown that, within a quantum mechanical framework, all phenomena which leave a trail of information behind are those where entropy necessarily increases or remains constant, and physics cannot study those processes where entropy has decreased, even if they were commonplace.
Abstract: The arrow-of-time dilemma states that the laws of physics are invariant for time inversion, whereas the familiar phenomena we see everyday are not (i.e., entropy increases). I show that, within a quantum mechanical framework, all phenomena which leave a trail of information behind (and hence can be studied by physics) are those where entropy necessarily increases or remains constant. All phenomena where the entropy decreases must not leave any information of their having happened. This situation is completely indistinguishable from their not having happened at all. In the light of this observation, the second law of thermodynamics is reduced to a mere tautology: physics cannot study those processes where entropy has decreased, even if they were commonplace.
95 citations
TL;DR: A nonclassicality criterion derived from quantum Fisher information is found, which shows that this is true for linear detection schemes but false for nonlinear schemes.
Abstract: We examine whether metrological resolution beyond coherent states is a nonclassical effect. We show that this is true for linear detection schemes but false for nonlinear schemes, and propose a very simple experimental setup to test it. We find a nonclassicality criterion derived from quantum Fisher information.
92 citations
TL;DR: It is found that the engine can be driven by purely quantum information, expressed as the so-called quantum discord, forming a part of the quantum mutual information.
Abstract: The key question of this Letter is whether work can be extracted from a heat engine by using purely quantum mechanical information. If the answer is yes, what is its mathematical formula? First, by using a bipartite memory we show that the work extractable from a heat engine is bounded not only by the free energy change and the sum of the entropy change of an individual memory but also by the change of quantum mutual information contained inside the memory. We then find that the engine can be driven by purely quantum information, expressed as the so-called quantum discord, forming a part of the quantum mutual information. To confirm it, as a physical example we present the Szilard engine containing a diatomic molecule with a semipermeable wall.
91 citations
Book•
01 Jan 2005
TL;DR: Elements of Classical Information Theory, Elements of Quantum Information Theory and Information and the Brain are presented.
Abstract: Elements of Classical Information Theory.- Elements of Quantum Information Theory.- Classical, Quantum and Information-Driven Interactions.- The "Active" Role of Information in Biological Systems.- The 'Passive' Role of Information in Physics.- Information and the Brain.
91 citations