
Title  Approximate Quantum Markov Chains 
Author(s)  Sutter, David 
Publication  Cham, Springer International Publishing, 2018. 
Description  VIII, 118 p. 1 illus. in color : online resource 
Abstract Note  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 dataprocessing 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 noncommuting 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 GoldenThompson 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 
ISBN,Price  9783319787329 
Keyword(s)  1. CONDENSED MATTER
2. CONDENSED MATTER PHYSICS
3. EBOOK
4. EBOOK  SPRINGER
5. MATHEMATICAL PHYSICS
6. QUANTUM COMPUTERS
7. Quantum Information Technology, Spintronics
8. QUANTUM PHYSICS
9. SPINTRONICS
10. STATISTICAL PHYSICS
11. Statistical Physics and Dynamical Systems

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I09550 


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