05232nam a22006255i 4500 978-3-662-43502-1 DE-He213 20210618061327.0 cr nn 008mamaa 140822s2015 gw | s |||| 0|eng d 9783662435021 978-3-662-43502-1 10.1007/978-3-662-43502-1 doi QA76.889 TK7874.887 PHQ bicssc COM032000 bisacsh PHQ thema 621.3 23 Hayashi, Masahito. author. aut http://id.loc.gov/vocabulary/relators/aut Introduction to Quantum Information Science [electronic resource] / by Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi, Gen Kimura, Tomohiro Ogawa. 1st ed. 2015. Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015. XIV, 332 p. 31 illus., 1 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Graduate Texts in Physics, 1868-4513 Invitation to Quantum Information Science -- Quantum Mechanics for Qubit Systems -- Foundations of Quantum Computing -- Quantum Algorithm -- Foundations of Quantum Mechanics and Quantum Information Theory -- Information Quantities in Quantum Systems -- Quantum Entanglement -- Classical-Quantum Channel Coding -- Quantum Error Correction and Quantum Cryptography. This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies, quantum coding, quantum error correction and quantum cryptography. The required knowledge is only elementary calculus and linear algebra. This way the book can be understood by undergraduate students. In order to study quantum information, one usually has to study the foundation of quantum theory. This book describes it from more an operational viewpoint which is suitable for quantum information while traditional textbooks of quantum theory lack this viewpoint. The current  book bases on Shor's algorithm, Grover's algorithm, Deutsch-Jozsa's algorithm as basic algorithms. To treat several topics in quantum information, this book covers several kinds of information quantities in quantum systems including von Neumann entropy. The limits of several kinds of quantum information processing are given. As important quantum protocols,this book contains quantum teleportation, quantum dense coding, quantum data compression. In particular conversion theory of entanglement via local operation and classical communication are treated too. This theory provides the quantification of entanglement, which coincides with von Neumann entropy. The next part treats the quantum hypothesis testing. The  decision problem of two candidates of the unknown state are given. The asymptotic performance of this problem is characterized by information quantities. Using this result, the optimal performance of classical information transmission via noisy quantum channel is derived. Quantum information transmission via noisy quantum channel by quantum error correction are discussed too. Based on this topic, the secure quantum communication is explained. In particular, the quantification of quantum security which has not been treated in existing book is explained.  This book treats quantum cryptography from a more practical viewpoint. Quantum computers. Spintronics. Mathematical physics. Data structures (Computer science). Information theory. Quantum Information Technology, Spintronics. https://scigraph.springernature.com/ontologies/product-market-codes/P31070 Quantum Computing. https://scigraph.springernature.com/ontologies/product-market-codes/M14070 Theoretical, Mathematical and Computational Physics. https://scigraph.springernature.com/ontologies/product-market-codes/P19005 Data Structures and Information Theory. https://scigraph.springernature.com/ontologies/product-market-codes/I15009 Information and Communication, Circuits. https://scigraph.springernature.com/ontologies/product-market-codes/M13038 Ishizaka, Satoshi. author. aut http://id.loc.gov/vocabulary/relators/aut Kawachi, Akinori. author. aut http://id.loc.gov/vocabulary/relators/aut Kimura, Gen. author. aut http://id.loc.gov/vocabulary/relators/aut Ogawa, Tomohiro. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) Springer Nature eBook Printed edition: 9783662435038 Printed edition: 9783662435014 Printed edition: 9783662511251 Graduate Texts in Physics, 1868-4513 https://doi.org/10.1007/978-3-662-43502-1 ZDB-2-PHA ZDB-2-SXP Physics and Astronomy (SpringerNature-11651) Physics and Astronomy (R0) (SpringerNature-43715)