0
Your cart

Your cart is empty

Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)

Buy Now

Quantum f-Divergences in von Neumann Algebras - Reversibility of Quantum Operations (Paperback, 1st ed. 2021) Loot Price: R2,601
Discovery Miles 26 010
Quantum f-Divergences in von Neumann Algebras - Reversibility of Quantum Operations (Paperback, 1st ed. 2021): Fumio Hiai

Quantum f-Divergences in von Neumann Algebras - Reversibility of Quantum Operations (Paperback, 1st ed. 2021)

Fumio Hiai

Series: Mathematical Physics Studies

 (sign in to rate)
Loot Price R2,601 Discovery Miles 26 010 | Repayment Terms: R244 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

Relative entropy has played a significant role in various fields of mathematics and physics as the quantum version of the Kullback-Leibler divergence in classical theory. Many variations of relative entropy have been introduced so far with applications to quantum information and related subjects. Typical examples are three different classes, called the standard, the maximal, and the measured f-divergences, all of which are defined in terms of (operator) convex functions f on (0, ) and have respective mathematical and information theoretical backgrounds. The -Renyi relative entropy and its new version called the sandwiched -Renyi relative entropy have also been useful in recent developments of quantum information. In the first half of this monograph, the different types of quantum f-divergences and the Renyi-type divergences mentioned above in the general von Neumann algebra setting are presented for study. While quantum information has been developing mostly in the finite-dimensional setting, it is widely believed that von Neumann algebras provide the most suitable framework in studying quantum information and related subjects. Thus, the advance of quantum divergences in von Neumann algebras will be beneficial for further development of quantum information. Quantum divergences are functions of two states (or more generally, two positive linear functionals) on a quantum system and measure the difference between the two states. They are often utilized to address such problems as state discrimination, error correction, and reversibility of quantum operations. In the second half of the monograph, the reversibility/sufficiency theory for quantum operations (quantum channels) between von Neumann algebras via quantum f-divergences is explained, thus extending and strengthening Petz' previous work. For the convenience of the reader, an appendix including concise accounts of von Neumann algebras is provided.

General

Imprint: Springer Verlag, Singapore
Country of origin: Singapore
Series: Mathematical Physics Studies
Release date: 2022
First published: 2021
Authors: Fumio Hiai
Dimensions: 235 x 155mm (L x W)
Format: Paperback
Pages: 194
Edition: 1st ed. 2021
ISBN-13: 978-981-3342-01-9
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
Promotions
LSN: 981-3342-01-3
Barcode: 9789813342019

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Quantum Ontology - A Guide to the…
Peter J Lewis Hardcover R3,825 Discovery Miles 38 250
Niels Bohr and the Quantum Atom - The…
Helge Kragh Hardcover R2,516 Discovery Miles 25 160
Excitons and Cooper Pairs - Two…
Monique Combescot, Shiue-Yuan Shiau Hardcover R3,139 Discovery Miles 31 390
The Wave Function - Essays on the…
David Albert, Alyssa Ney Hardcover R4,198 Discovery Miles 41 980
Quantum Optics
John Garrison, Raymond Chiao Hardcover R3,419 Discovery Miles 34 190
Exploring Quantum Mechanics - A…
Victor Galitski, Boris Karnakov, … Hardcover R6,230 Discovery Miles 62 300
Analytical Mechanics for Relativity and…
Oliver Johns Hardcover R3,412 Discovery Miles 34 120
Feynman's Operational Calculus and…
Gerald W. Johnson, Michel L Lapidus, … Hardcover R3,836 Discovery Miles 38 360
A Modern Introduction to Quantum Field…
Michele Maggiore Hardcover R4,308 Discovery Miles 43 080
Molecular Electromagnetism: A…
Stephan P. A. Sauer Hardcover R3,105 Discovery Miles 31 050
Semiconductor Nanostructures - Quantum…
Thomas Ihn Hardcover R4,631 Discovery Miles 46 310
Fluctuating Nonlinear Oscillators - From…
Mark Dykman Hardcover R4,977 Discovery Miles 49 770

See more

Partners