I want some book which explain more about quantum probability theory from basic because quantum theory contain linear algebra so any suggestion ? because i am beginner.
read the first few chapters of the following book :
Quantum Mechanics in simple matrix form , Author - Thomas.F. Jordan, Dover Publications.
Here, Prof. Jordan has discussed Quantum probability concepts based on Spin 1/2 systems and also the concepts of EPR paradox and Bell's Inequalities.
Another good reference is the relevant chapters ( Quantum Mechanics ) of the following book : Feynman's Lectures in Physics, VOL-3 .
for Linear algebra fundamentals i would suggest the book on the topic by Gilbert Strang.
My favorite book is still:
Holevo, A. S. (1982). Probabilistic and statistical aspects of quantum theory. North Holland. ISBN 0-444-86333-8.
It contains very precise definitions of many of the basic concepts. He later wrote an updated version that is easier to read:
Holevo, A. S. (2001). "Statistical structure of quantum theory". Lect. Notes Phys. Monographs. Springer. 67. ISBN 3-540-42082-7.
Another excellent book that has a surprisingly small overlap with the previous books is:
Pttz, D. (2008). "Quantum Information Theory and Quantum Statistics. Springer.
The standard reference on quantum computation is:
Nielsen, M.A. and Chuang, I.L. Quantum Computation and Quantum Information. Cambridge University Press, 2000. ISBN 0-521-63235-8
A newer book is:
Hayashi, M., Ishizaka, S., Kawachi, A., Kimura, G., Ogawa, T. (2015) Introduction to Quantum Information Science. Graduate Texts in Physics
Dear Prayag, if you are interested on interpretation of the concept of probability and its numerical simulation by computer in quantum theory, a good and deep work is the attached Richard Feynman paper of 1982. Gianluca
Learning Quantum Probability Theory
Please let me know if these references/sites are helpful to you:
1. An introduction to quantum probability, quantum mechanics, and ...
https://www.math.ucdavis.edu/~greg/intro.pdfCachedSimilar
by G Kuperberg
Oct 8, 2007 - of this article; in this theory what we call quantum probability is often called “non-commutative proba- bility”. Recently quantum computation has ...
Site reference:
https://www.math.ucdavis.edu/~greg/intro.pdf
2. Quantum Probability - Institut Camille Jordanmath.univ-lyon1.fr/~attal/Quantum_Probability.pdf
by S ATTAL - Related articles
Quantum Probability Theory does not add anything to the axioms of Quantum Mechanics, it just emphasizes the probabilistic nature of them. This lecture is ...
3. Quantum Theory and Probability Theory - MDPI
www.mdpi.com/2073-8994/3/2/171/pdfCachedSimilar
by P Goyal - 2011 - Cited by 24 - Related articles
Apr 27, 2011 - ISSN 2073-8994 www.mdpi.com/journal/symmetry. Article. Quantum Theory and Probability Theory: Their Relationship and Origin in Symmetry. 4. Quantum Mechanics as a Theory of Probability - Philsci-Archivephilsci-archive.pitt.edu/2474/1/TOBUB1.pdf
by I Pitowsky - 2005 - Cited by 66 - Related articles Oct 12, 2005 - We develop and defend the thesis that the Hilbert space formal& ism of quantum mechanics is a new theory of probability. The theory,.
Dennis
Dennis Mazur
Thanks Prof. Ghosh, Peter, Dennis, Argentini for your recommendations. i really appreciate this.
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