Electronic Resource

Positive linear maps of operator algebras

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This volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory. The author, a leading authority on the subject, sets out numerous results previously unpublished in book form. In addition to outlining the properties and structures of positive linear maps of operator algebras into the bounded operators on a Hilbert space, he guides readers through proofs of the Stinespring theorem and its applications to inequalities for positive maps.



The text examines the maps’ positivity properties, as well as their associated linear functionals together with their density operators. It features special sections on extremal positive maps and Choi matrices. In sum, this is a vital publication that covers a full spectrum of matters relating to positive linear maps, of which a large proportion is relevant and applicable to today’s quantum information theory. The latter sections of the book present the material in finite dimensions, while the text as a whole appeals to a wider and more general readership by keeping the mathematics as elementary as possible throughout.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

E795

Penerbit

Jerman : Springer Berlin, Heidelberg., 2013

Deskripsi Fisik

viii, 136 hlm.

Bahasa

English

ISBN/ISSN

9783642343698

Klasifikasi

NONE

Tipe Isi

text

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

Ed.1

Subjek

Aljabar Linear

Info Detail Spesifik

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Pernyataan Tanggungjawab

Erling Størmer

Versi lain/terkait

Lampiran Berkas

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