## Quantum Information Theory – HS 2013

**Lecturer**: Dr. Joseph M. Renes

Tuesday, 09:45-10:35, HIT F 11.1

Thursday, 13:45-15:30, HIT F 11.1

**Exercise Session :** Aleksejs Fomins (fomins@phys.ethz.ch) and David Sutter (sutterd@itp.phys.ethz.ch)

Thursday, 15:45-16:30, HIT F 11.1

#### Lecture Notes

Leture notes will be updated along with the course.

The first 10 chapters from the current script (last change: Dec. 11th, 2013).

The script from last year can be found here.

Mistakes and typos should be reported to Aleksejs or David.

#### Program

- October, 22: Purification (Section 4.3.4) and Fidelity (Section 4.4.2)
- October, 24: Generalized measurements
- October, 29: CPTP maps (Section 5.2.1)
- October, 31: Choi isomorphism, Kraus representation, Stinespring dilation (Section 5.2)
- November, 5: Bell inequalities, complementarity
- November, 7: Uncertainty relations
- November, 12: Uncertainty relations
- November, 14: Von Neumann entropy
- November, 17: Strong Subadditivity

#### Exercises

Exercises are published online every Tuesday; printed
versions handed out in the lecture or tutorial on Thursday. They should
be handed in on the Thursday one week later, in the lecture.

Exercise 1 Tips 1 Solution 1

Exercise 2 Tips 2 Solution 2 Additional Hints (for the "Grandfahter-Problem") by Aleksejs

Exercise 3 Solution 3

Exercise 4 Solution 4

Exercise 5 Solution 5

Exercise 6 Solution 6

Exercise 7 Solution 7

Exercise 8 Solution 8

Exercise 9 Solution 9

Exercise 10 Solution 10

Exercise 11 Solution 11

Exercise 12 Solution 12

Exercise 13 Solution 13