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Textbooks or papers on quantum entanglement, decoherence, MWI and other topics?

+ 3 like - 0 dislike
497 views

I'm looking for modern textbooks on quantum mechanics that treat topics such as quantum entanglement, Bell's theorem, quantum teleportation, quantum information theory, The many-world interpretation, decoherence etc. All the textbooks that I can find cover the usual topics only (scattering theory, perturbation, the hydrogen atom etc. ) But I can't find a book that mainly address these topics. Are there textbooks that specialize in the aforementioned topics? If not, what are some pedagogical papers that are useful?

I don't care if the resources are mathematically rigorous or not. I would actually prefer books/papers that use more advanced math than usual.

asked Mar 13, 2015 in Resources and References by anonymous [ revision history ]
edited Mar 14, 2015 by Arnold Neumaier

Griffiths R., "Consistent Quantum Theory" is about decoherence, but I did not read it.

2 Answers

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I'd like to recommend the time honored book 

Quantum theory: concepts and methods  

(from 1993) by Asher Peres. It emphasizes foundations rather than standard applications, and has at least some degree of rigor.

But their is nothing weird in it, hence no many worlds, and it was written before someone had coined the word quantum teleportation to make something simple sound conspicuous. So it might not quite go all the way in the direction desired by you. 

On the arXiv you can find, e.g., book-size thesis on quantum information theory by M.A. Nielsen (which turned into a double-sized book by Cambridge Unviersity Press that you have to pay for), a survey article on quantum computing by A. Steane, and a book-size survey on quantum information theory that appeared in Physics Reports 369 (2002), 431--548, 

answered Mar 14, 2015 by Arnold Neumaier (12,355 points) [ revision history ]
edited Mar 14, 2015 by Arnold Neumaier
+ 4 like - 0 dislike

There are modern textbooks that treat all these topics. Because I prefer native language for textbooks, I only worked through Quantenmechanik zu Fuß 2: Anwendungen und Erweiterungen by Jochen Pade. This second part treats all the topics you requested, and I warmly recommend it, if German is your native language. If not, I'm sure you can find similar textbooks also in English, if you focus on advanced textbooks written from scratch in the 21st century.

Even so it is not a textbook, the collection of essays Sechs mögliche Welten der Quantenmechanik: Mit einer Einführung von Alain Aspect by John S. Bell is very sharp and illuminating for some of your requested topics. If German is not your native language, you will prefer the English original Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy by John S. Bell. I really suggest to give it a try, I was quite surprised by some possibilities, and for the first time started to doubt Feynman's "nobody understands quantum mechanics" truism.

Vladimir Kalitvianski mentioned "Consistent Quantum Theory" by R. Griffiths, which I haven't read. But I read Understanding Quantum Mechanics by Roland Omnes, which covers the same topic. It is quite readable and doesn't shy away from mathematics, but focuses on decoherence and consistent histories, has a slightly historical and philosophical focus, and doesn't treat quantum information theory.

answered May 8, 2015 by Thomas Klimpel (70 points) [ no revision ]

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