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Carte Approximate Quantum Markov Chains David Sutter

Approximate Quantum Markov Chains

Autor: David Sutter
Limbă: engleză
Legare: Carte broșată
Editura: Springer International Publishing AG
Disponibilitate: În depozitul extern în cantități mici
Expediem în 13-18 zile
298.01 lei
This book is an introduction to quantum Markov chains and explains how this concept is connected to...

Informații despre carte

Autor
David Sutter
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2018
Pagini
118
EAN
9783319787312
ISBN
3319787314
Enbook ID
19042363
Editura
Springer International Publishing AG
Greutate
222
Dimensiuni
234 x 157 x 5

Descriere completă

This book is an introduction to quantum Markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem. To achieve this goal, we strengthen the data-processing inequality such that it reveals a statement about the reconstruction of lost information. The main difficulty in order to understand the behavior of quantum Markov chains arises from the fact that quantum mechanical operators do not commute in general. As a result we start by explaining two techniques of how to deal with non-commuting matrices: the spectral pinching method and complex interpolation theory. Once the reader is familiar with these techniques a novel inequality is presented that extends the celebrated Golden-Thompson inequality to arbitrarily many matrices. This inequality is the key ingredient in understanding approximate quantum Markov chains and it answers a question from matrix analysis that was open since 1973, i.e., if Lieb's triple matrix inequality can be extended to more than three matrices. Finally, we carefully discuss the properties of approximate quantum Markov chains and their implications. The book is aimed to graduate students who want to learn about approximate quantum Markov chains as well as more experienced scientists who want to enter this field. Mathematical majority is necessary, but no prior knowledge of quantum mechanics is required.

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