LEADER 01600nam2 2200325 i 450 001 VAN0045448 005 20230131083614.796 010 $a978-08-987152-3-1 100 $a20060524e20021985 |0itac50 ba 101 $aeng 102 $aUS 105 $a|||| ||||| 200 1 $aˆ1: ‰Theory$fJane K. Cullum, Ralph A. Willoughby 210 $aPhiladelphia$cSIAM$d2002 215 $aXX, 268 p.$cill.$d23 cm 300 $aUnabr. republ. of Birkhauser ed., 1985 410 1$1001VAN0035286$12001 $aClassics in applied mathematics$1210 $aPhiladelphia$cSIAM$v41 461 1$1001VAN0045433$12001 $aLanczos algorithms for large symmetric eigenvalue computations$fJane K. Cullum, Ralph A. Willoughby$1210 $aPhiladelphia$cSIAM$d2002$1215 $a2 volumi$d23 cm$1300 $aUnabr. republ. of Birkhauser ed., 1985$v1 606 $a65-XX$xNumerical analysis [MSC 2020]$3VANC019772$2MF 620 $dPhiladelphia$3VANL000037 700 1$aCullum$bJane K.$3VANV036523$0730524 701 1$aWilloughby$bRalph A.$3VANV036524$0101860 712 $aSIAM $3VANV108794$4650 801 $aIT$bSOL$c20240531$gRICA 856 4 $u/sebina/repository/catalogazione/documenti/Cullum, Willoughby - Lanczos algorithms for large symmetric eigenvalue computations - vol. 1. Theory.pdf$zContents 899 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$1IT-CE0120$2VAN08 912 $aVAN0045448 950 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08PREST 65-XX 0981 $e08 6334 I 20060524 996 $aTheory$91403820 997 $aUNICAMPANIA LEADER 03593nam 22005775 450 001 9910349516703321 005 20200704115131.0 010 $a3-030-24120-3 024 7 $a10.1007/978-3-030-24120-9 035 $a(CKB)4100000008878311 035 $a(MiAaPQ)EBC5845904 035 $a(DE-He213)978-3-030-24120-9 035 $a(PPN)269144080 035 $a(EXLCZ)994100000008878311 100 $a20190802d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuantum Correlations $eA Modern Augmentation /$fby Farid Shahandeh 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (179 pages) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 311 $a3-030-24119-X 327 $aPreliminaries -- The Resource Theory of Entanglement -- Generalized Quantum Correlations in Discrete Variable Systems -- Generalized Quantum Correlations in Continuous Variable Systems -- Conclusion and Outlook. 330 $aThe correlations between physical systems provide significant information about their collective behaviour ? information that is used as a resource in many applications, e.g. communication protocols. However, when it comes to the exploitation of such correlations in the quantum world, identification of the associated ?resource? is extremely challenging and a matter of debate in the quantum community. This dissertation describes three key results on the identification, detection, and quantification of quantum correlations. It starts with an extensive and accessible introduction to the mathematical and physical grounds for the various definitions of quantum correlations. It subsequently focusses on introducing a novel unified picture of quantum correlations by taking a modern resource-theoretic position. The results show that this novel concept plays a crucial role in the performance of collaborative quantum computations that is not captured by the standard textbook approaches. Further, this new perspective provides a deeper understanding of the quantum-classical boundary and paves the way towards establishing a resource theory of quantum computations. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aQuantum theory 606 $aMathematical physics 606 $aQuantum computers 606 $aSpintronics 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aQuantum Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/M14070 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 615 0$aQuantum theory. 615 0$aMathematical physics. 615 0$aQuantum computers. 615 0$aSpintronics. 615 14$aQuantum Physics. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aQuantum Computing. 615 24$aQuantum Information Technology, Spintronics. 676 $a530.12 700 $aShahandeh$b Farid$4aut$4http://id.loc.gov/vocabulary/relators/aut$01063392 906 $aBOOK 912 $a9910349516703321 996 $aQuantum Correlations$92532078 997 $aUNINA