LEADER 04897nam 22007095 450 001 9910254586103321 005 20200704063413.0 010 $a3-662-49725-5 024 7 $a10.1007/978-3-662-49725-8 035 $a(CKB)3710000000981043 035 $a(DE-He213)978-3-662-49725-8 035 $a(MiAaPQ)EBC6313154 035 $a(MiAaPQ)EBC5591641 035 $a(Au-PeEL)EBL5591641 035 $a(OCoLC)1066198096 035 $a(PPN)197138470 035 $a(EXLCZ)993710000000981043 100 $a20161103d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuantum Information Theory $eMathematical Foundation /$fby Masahito Hayashi 205 $a2nd ed. 2017. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2017. 215 $a1 online resource (XLIII, 636 p. 24 illus., 1 illus. in color.) 225 1 $aGraduate Texts in Physics,$x1868-4513 311 $a3-662-49723-9 320 $aIncludes bibliographical references and index. 327 $aInvitation to Quantum Information Theory -- History of Quantum Information Theory -- The Structure of this Text -- Mathematical Formulation of Quantum Systems -- Information Quantities and Parameter Estimation in Classical Systems -- Quantum Hypothesis Testing and Discrimination of Quantum States -- Classical-Quantum Channel Coding (Message Transmission) -- State Evolution and Trace-Preserving Completely Positive Maps -- Quantum Information Geometry and Quantum Estimation -- Quantum Measurements and State Reduction -- Entanglement and Locality Restrictions -- Analysis of Quantum Communication Protocols. 330 $aThis graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption. Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics ? all of which are addressed here ? made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation. With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained. Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information. To aid in understanding, each chapter is accompanied by a set of exercises and solutions. 410 0$aGraduate Texts in Physics,$x1868-4513 606 $aQuantum computers 606 $aSpintronics 606 $aPhysics 606 $aData structures (Computer science) 606 $aInformation theory 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 606 $aQuantum Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/M14070 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aData Structures and Information Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/I15009 606 $aInformation and Communication, Circuits$3https://scigraph.springernature.com/ontologies/product-market-codes/M13038 615 0$aQuantum computers. 615 0$aSpintronics. 615 0$aPhysics. 615 0$aData structures (Computer science) 615 0$aInformation theory. 615 14$aQuantum Information Technology, Spintronics. 615 24$aQuantum Computing. 615 24$aMathematical Methods in Physics. 615 24$aData Structures and Information Theory. 615 24$aInformation and Communication, Circuits. 676 $a006.3843 700 $aHayashi$b Masahito$4aut$4http://id.loc.gov/vocabulary/relators/aut$0817794 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254586103321 996 $aQuantum Information Theory$92102083 997 $aUNINA