02473nam 2200565 450 991047999940332120180731044353.00-8218-8208-20-8218-5853-X(CKB)3240000000070052(EBL)3113397(SSID)ssj0000629295(PQKBManifestationID)11380078(PQKBTitleCode)TC0000629295(PQKBWorkID)10731158(PQKB)11656694(MiAaPQ)EBC3113397(PPN)19710858X(EXLCZ)99324000000007005220100625h20102010 uy| 0engur|n|---|||||txtccrEntropy and the quantum Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona /Robert Sims, Daniel Ueltschi, editorsProvidence, Rhode Island :American Mathematical Society,[2010]©20101 online resource (216 p.)Contemporary mathematics ;volume 529These notes are motivated by the school Entropy and the Quantum that took place in Tucson, Arizona, on March 16-20, 2009."--Pref.0-8218-5247-7 Includes bibliographical references.""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""""6.3. Lieb's Concavity Theorem and joint convexity of the relative entropy""Contemporary mathematics (American Mathematical Society) ;v. 529.Quantum entropyCongressesElectronic books.Quantum entropy530.12Sims Robert1975-Ueltschi Daniel1969-Arizona School of Analysis with ApplicationsMiAaPQMiAaPQMiAaPQBOOK9910479999403321Entropy and the quantum766853UNINA