# Introduction to Mathematical Physics, spring 2010

# Introduction to Mathematical Physics, spring 2010

# Quantum Probability

### Lecturer

### 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

### Exercises

Ryhmä | Päivä | Aika | Paikka | Pitäjä |
---|---|---|---|---|

1. | Ke | 10-12 | C323 | Oskari Ajanki |

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