Exercises

Exercise Session : Lídia del Rio and Normand Beaudry

Thursday 15:45-16:45  (HIT K 51)

What's in each series?

Series 01: trace distance, weak law of large numbers, conditional probabilities

Series 02: entropies, mutual information, channel capacity

Series 03: AEP, quantum-telepathy game

Series 04: Bloch sphere, partial state

Series 05: purification, quantum trace distance, data hiding

Series 06: distance bounds, TPCPMs and quantum channels

Series 07: fast matrix multiplication, unambiguous state discrimination, distances for quantum channels

Series 08: measurements as unitary evolutions, teleportation

Series 09: quantum entropies, majorization and entanglement catalysis

Series 10: properties of fidelity, data processing inequality

Series 11: resource inequalities, partial transpose, squashed entanglement

Series 12: quantum key distribution: BB84

Exercises

• Exercise 01
• Exercise 02
• Exercise 03
• Exercise 04
• Exercise 05
• Exercise 06
• Exercise 07
• Exercise 08
• Exercise 09
• Exercise 10
• Exercise 11
• Exercise 12

Tips

• Tips 01
• Tips 02
• Tips 03
• Tips 04
• Tips 05
• Tips 08
• Tips 09

Solutions

• Solution 01
• Solution 02
• Solution 03
• Solution 04
• Solution 05
• Solution 06
• Solution 07
• Solution 08
• Solution 09
• Solution 10
• Solution 11
• Solution 12

Course certificate (Testat)

There will be 11 exercise series, each with 3 exercises. Each exercise (1, 2, 3) can have several parts (a, b, c, etc.).

To receive a Testat (and do the exam), you need to reach 33 points.

Points are awarded as follows:

 - If you solve only one part of the exercise, you get 1 point.

 - If you solve the whole exercise extremely well (without obviously copying from previous solutions), you get 3 points.

 - We will interpolate cases in between (for instance, if you solve two parts reasonably, you may get 2 points). 

You will be able to check how many points you've got here.

You are encouraged to work in groups, but you have to hand in individual exercises.

Exercises are published every Thursday (sometimes they may be online on Wednesday) and should be handed in one week later, in the lecture.

Check the state of your Testate here!