1.

Record Nr.

UNINA9910479999403321

Titolo

Entropy and the quantum : Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona / / Robert Sims, Daniel Ueltschi, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2010]

©2010

ISBN

0-8218-8208-2

0-8218-5853-X

Descrizione fisica

1 online resource (216 p.)

Collana

Contemporary mathematics ; ; volume 529

Disciplina

530.12

Soggetti

Quantum entropy

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

These notes are motivated by the school Entropy and the Quantum that took place in Tucson, Arizona, on March 16-20, 2009."--Pref.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""