Introduction to Mathematical Physics, spring 2010

Quantum Probability

Lecturer

Antti Kupiainen

Credits

10 points

Type

The course will provide an introduction to the mathematical physics of
 open quantum systems. Topics covered:
 *classical probability and Markov processes
 *basics of quantum measurement theory
 *quantum Markov processes
 *diffusion and decoherence
 *elements of quantum information theory

Advanced studies

Prerequisites

Some knowledge of probability and quantum mechanics is useful although
 we will summarize the basics of both subjects.

Lecture times

Weeks 3-9 and 11-18 tuesday 14-16, thursday 14-16 C123.

NO CLASS ON THURSDAY 25.2. AND THURSDAY 18.3.

Easter break 1.-7.4.

Literature

Lecture notes will be distributed. A book aimed for both
 physicists and mathematicians is

Breuer, Petruccione: "The theory of open quantum systems" (Oxford)

A more mathematical treatment can be found in:

Attal, Joye, Pillet (eds): "Open quantum systems 1-3" Springer Lecture Notes in Mathematics 1880

Notes Pages 1-33
Notes Pages 34-46
Notes Pages 47-55
Notes Pages 63-86
Notes Pages 87-100
Notes Pages 101-111
Notes Pages 112-119
Notes Pages 119b-133
Notes Pages 134-143
Notes Pages 144-158
Notes Pages 159-169

Register

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Exercises

exercise set 1 solutions
exercise set 2 solutions
exercise set 3
exercise set 4-5
exercise set 6 solutions
exercise set 7 solutions
exercise set 8 solutions
exercise set 9 solutions
exercise set 10 solutions

Home exam (return before August 1:st. 2010):

Home exam (corrected)
Home exam (original)
Solutions (17th September)