LEADER 02473nam 2200565 450 001 9910479999403321 005 20180731044353.0 010 $a0-8218-8208-2 010 $a0-8218-5853-X 035 $a(CKB)3240000000070052 035 $a(EBL)3113397 035 $a(SSID)ssj0000629295 035 $a(PQKBManifestationID)11380078 035 $a(PQKBTitleCode)TC0000629295 035 $a(PQKBWorkID)10731158 035 $a(PQKB)11656694 035 $a(MiAaPQ)EBC3113397 035 $a(PPN)19710858X 035 $a(EXLCZ)993240000000070052 100 $a20100625h20102010 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEntropy and the quantum $eArizona School of Analysis with Applications, March 16-20, 2009, University of Arizona /$fRobert Sims, Daniel Ueltschi, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2010] 210 4$dİ2010 215 $a1 online resource (216 p.) 225 1 $aContemporary mathematics ;$vvolume 529 300 $aThese notes are motivated by the school Entropy and the Quantum that took place in Tucson, Arizona, on March 16-20, 2009."--Pref. 311 $a0-8218-5247-7 320 $aIncludes bibliographical references. 327 $a""4.2. The von Neumann Double Commutant Theorem""""4.3. Properties of the conditional expectation""; ""4.4. Pinching, conditional expectations, and the Operator Jensen Inequality""; ""5. Tensor products""; ""5.1. Basic definitions and elementary properties of tensor products""; ""5.2. Tensor products and inner products""; ""5.3. Tensor products of matrices""; ""5.4. The partial trace""; ""5.5. Ando's identity""; ""6. Lieb's Concavity Theorem and related results""; ""6.1. Lieb's Concavity Theorem""; ""6.2. Ando's Convexity Theorem"" 327 $a""6.3. Lieb's Concavity Theorem and joint convexity of the relative entropy"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 529. 606 $aQuantum entropy$vCongresses 608 $aElectronic books. 615 0$aQuantum entropy 676 $a530.12 702 $aSims$b Robert$f1975- 702 $aUeltschi$b Daniel$f1969- 712 12$aArizona School of Analysis with Applications 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910479999403321 996 $aEntropy and the quantum$9766853 997 $aUNINA