Quantum Information Processing with Finite Resources

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Release : 2015-10-14
Genre : Science
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Book Rating : 913/5 ( reviews)

Quantum Information Processing with Finite Resources - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Information Processing with Finite Resources write by Marco Tomamichel. This book was released on 2015-10-14. Quantum Information Processing with Finite Resources available in PDF, EPUB and Kindle. This book provides the reader with the mathematical framework required to fully explore the potential of small quantum information processing devices. As decoherence will continue to limit their size, it is essential to master the conceptual tools which make such investigations possible. A strong emphasis is given to information measures that are essential for the study of devices of finite size, including Rényi entropies and smooth entropies. The presentation is self-contained and includes rigorous and concise proofs of the most important properties of these measures. The first chapters will introduce the formalism of quantum mechanics, with particular emphasis on norms and metrics for quantum states. This is necessary to explore quantum generalizations of Rényi divergence and conditional entropy, information measures that lie at the core of information theory. The smooth entropy framework is discussed next and provides a natural means to lift many arguments from information theory to the quantum setting. Finally selected applications of the theory to statistics and cryptography are discussed. The book is aimed at graduate students in Physics and Information Theory. Mathematical fluency is necessary, but no prior knowledge of quantum theory is required.

Quantum Information Processing with Finite Resources

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Release : 2002
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Book Rating : 067/5 ( reviews)

Quantum Information Processing with Finite Resources - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Information Processing with Finite Resources write by Dietmar Gerd Fischer. This book was released on 2002. Quantum Information Processing with Finite Resources available in PDF, EPUB and Kindle.

Device-Independent Quantum Information Processing

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Release : 2020-10-31
Genre : Science
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Book Rating : 311/5 ( reviews)

Device-Independent Quantum Information Processing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Device-Independent Quantum Information Processing write by Rotem Arnon-Friedman. This book was released on 2020-10-31. Device-Independent Quantum Information Processing available in PDF, EPUB and Kindle. Device-independent quantum cryptography is a method for exchanging secret messages over potentially insecure quantum communication channels, such as optical fibers. In contrast to conventional quantum cryptography, security is guaranteed even if the devices used by the communication partners, such as photon sources and detectors, deviate from their theoretical specifications. This is of high practical relevance, for attacks to current implementations of quantum cryptography exploit exactly such deviations. Device-independent cryptography is however technologically so demanding that it looked as if experimental realizations are out of reach. In her thesis, Rotem Arnon-Friedman presents powerful information-theoretic methods to prove the security of device-independent quantum cryptography. Based on them, she is able to establish security in a parameter regime that may be experimentally achievable in the near future. Rotem Arnon-Friedman's thesis thus provides the theoretical foundations for an experimental demonstration of device-independent quantum cryptography.

Quantum Information Processing

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Release : 2006-03-06
Genre : Science
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Book Rating : 084/5 ( reviews)

Quantum Information Processing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Information Processing write by Thomas Beth. This book was released on 2006-03-06. Quantum Information Processing available in PDF, EPUB and Kindle. Quantum processing and communication is emerging as a challenging technique at the beginning of the new millennium. This is an up-to-date insight into the current research of quantum superposition, entanglement, and the quantum measurement process - the key ingredients of quantum information processing. The authors further address quantum protocols and algorithms. Complementary to similar programmes in other countries and at the European level, the German Research Foundation (DFG) realized a focused research program on quantum information. The contributions - written by leading experts - bring together the latest results in quantum information as well as addressing all the relevant questions.

Quantum Information Theory

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Release : 2017-02-06
Genre : Computers
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Book Rating : 304/5 ( reviews)

Quantum Information Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Information Theory write by Mark M. Wilde. This book was released on 2017-02-06. Quantum Information Theory available in PDF, EPUB and Kindle. Developing many of the major, exciting, pre- and post-millennium developments from the ground up, this book is an ideal entry point for graduate students into quantum information theory. Significant attention is given to quantum mechanics for quantum information theory, and careful studies of the important protocols of teleportation, superdense coding, and entanglement distribution are presented. In this new edition, readers can expect to find over 100 pages of new material, including detailed discussions of Bell's theorem, the CHSH game, Tsirelson's theorem, the axiomatic approach to quantum channels, the definition of the diamond norm and its interpretation, and a proof of the Choi–Kraus theorem. Discussion of the importance of the quantum dynamic capacity formula has been completely revised, and many new exercises and references have been added. This new edition will be welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.