LEADER 03804nam 2200685 a 450 001 9910812304803321 005 20240516145030.0 024 7 $a10.1515/9783110273403 035 $a(CKB)2670000000328241 035 $a(EBL)893249 035 $a(OCoLC)824530482 035 $a(SSID)ssj0000827071 035 $a(PQKBManifestationID)11434341 035 $a(PQKBTitleCode)TC0000827071 035 $a(PQKBWorkID)10830867 035 $a(PQKB)11360621 035 $a(MiAaPQ)EBC893249 035 $a(DE-B1597)174328 035 $a(OCoLC)823276372 035 $a(DE-B1597)9783110273403 035 $a(Au-PeEL)EBL893249 035 $a(CaPaEBR)ebr10649278 035 $a(CaONFJC)MIL503219 035 $a(EXLCZ)992670000000328241 100 $a20121001d2012 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum systems, channels, information $ea mathematical introduction /$fAlexander S. Holevo 205 $a1st ed. 210 $aBerlin $cWalter de Gruyter GmbH & Co. KG$d2012 215 $a1 online resource (364 p.) 225 0 $aDe Gruyter Studies in Mathematical Physics ;$v16 300 $aDescription based upon print version of record. 311 0 $a3-11-027340-3 311 0 $a3-11-027325-X 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tPreface --$tContents --$tPart I. Basic structures --$tChapter 1. Vectors and operators --$tChapter 2. States, observables, statistics --$tChapter 3. Composite systems and entanglement --$tPart II. The primary coding theorems --$tChapter 4. Classical entropy and information --$tChapter 5. The classical-quantum channel --$tPart III. Channels and entropies --$tChapter 6. Quantum evolutions and channels --$tChapter 7. Quantum entropy and information quantities --$tPart IV. Basic channel capacities --$tChapter 8. The classical capacity of quantum channel --$tChapter 9. Entanglement-assisted classical communication --$tChapter 10. Transmission of quantum information --$tPart V. Infinite systems --$tChapter 11. Channels with constrained inputs --$tChapter 12. Gaussian systems --$tBibliography --$tIndex 330 $aThe main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world. The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements. 410 3$aDe Gruyter Studies in Mathematical Physics 606 $aInformation theory in physics 606 $aQuantum entropy 610 $aQuantum Computing. 610 $aQuantum Cryptography. 610 $aQuantum Information. 610 $aQuantum Systems. 610 $aQuantum Theory. 615 0$aInformation theory in physics. 615 0$aQuantum entropy. 676 $a530.15 700 $aKholevo$b A. S$g(Aleksandr Semenovich)$028563 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812304803321 996 $aQuantum systems, channels, information$94113006 997 $aUNINA