3
$\begingroup$

Could you point out a comprehensive reference book (or more than one, if it is the case) on Quantum Probability that introduces the subject and then gradually builds up to the edges of contemporary research?

Improve this question
$\endgroup$
3
  • $\begingroup$ Which particular flavour of QP? i.e. Hudson/Parthasarathy, or free probability (Voiculescu/Bercovici et al.) $\endgroup$
    – Yemon Choi
    Commented Feb 6, 2015 at 1:35
  • $\begingroup$ I also think you need to set your sights lower at first. How much probability theory do you know? How much QM? $\endgroup$
    – Yemon Choi
    Commented Feb 6, 2015 at 1:42
  • $\begingroup$ Dear @YemonChoi, for the first question: I don't know: that's why I'm searching for a comprehensive reference (or more than one references, if it is the case); for the second question: I've successfully completed my course "Probability theory and Stochastic Processes", but, being a math student, I don't know basically anything of QM yet and that's why I am searching for something that introduces the concepts (maybe in the appendices?) before building up [in any case, some revision of the concepts of probability in an appendix won't hurt]. $\endgroup$
    – user60665
    Commented Feb 6, 2015 at 11:12

3 Answers 3

Reset to default
1
$\begingroup$

If you are interested in quantum probability from mathematical perspective, these two books will be helpful:

http://www.springer.com/mathematics/probability/book/978-3-540-60270-5 (Quantum Probability for Probabilists, by P.A. Meyer).

http://www.amazon.com/Quantum-Probability-Mathematical-Statistics/dp/0123053404 (Quantum Probability (Probability and Mathematical Statistics), by S.P. Gudder).

This textbook is very good, but the focus is on quantum information and quantum computing:

http://www.amazon.com/Quantum-Computation-Information-Anniversary-Edition/dp/1107002176 (Quantum Computation and Quantum Information, by Michael A. Nielsen and Isaac L. Chuang).

Improve this answer
$\endgroup$
2
  • $\begingroup$ I've skimmed quickly through the second book you recommended, and it seems to be the sort of thing I was looking for. Thank you very much, Professor. Of course, if any other reference comes to mind, please, don't hesitate to add it. $\endgroup$
    – user60665
    Commented Feb 8, 2015 at 12:28
  • $\begingroup$ Check also Itamar Pitowsky's article "Quantum mechanics as a theory of probability" in link.springer.com/chapter/10.1007%2F1-4020-4876-9_10 $\endgroup$
    – Zurab Silagadze
    Commented Feb 8, 2015 at 13:06
5
$\begingroup$

These notes are excellent:

  • Greg Kuperberg, A concise introduction to quantum probability, quantum mechanics, and quantum computation, 2005 (pdf)
Improve this answer
$\endgroup$
2
  • $\begingroup$ $+1$ This doesn't seem comprehensive, but looks very good. Thank you very much for the suggestion :). $\endgroup$
    – user60665
    Commented Feb 6, 2015 at 12:21
  • $\begingroup$ Do you happen to know some other resources on this subject? $\endgroup$
    – user60665
    Commented Feb 7, 2015 at 13:56
1
$\begingroup$

I find the way

Michael Dickson. 1998. Quantum Chance and Nonlocality. Cambridge University Press.

introduces the material very nicely and completely in the way you requested, in the first several chapters. It's quite comprehensive.

Improve this answer
$\endgroup$

You must log in to answer this question.