Each homework assignment consists of several problems, some of which are quite ambitious. The homework problems are assigned individually, and the solution is available along with the problem. You can choose to work the problem and then consult the solution to see how well you did, or you can work through the problem with the solution at hand. You should view the homework problems as study tools and use whatever strategy helps you best to learn.
You do not turn in the homework problems for grading, and there are no exams. Your grade is determined by your attendance at and active participation in the lectures.
Homework  Class session  Lectures  Nielsen and Chuang 
HW #1
1.1 Solution 1.2 Solution 1.3 Solution 1.4 Solution 1.5 Solution 1.6 Solution 
T, 117 
L1: Probabilities and laws of large numbers
Probabilities as betting odds and the Dutch book Simple Dutchbook derivation of the probability rules, taken from a seminar talk Coin tossing: analysis and experiments  
Th, 119 
L2: Classical information and Shannon entropy. I
L23 Axiomatic derivation of Shannon information, taken from Chris Fuchs's 1996 UNM PhD dissertation 
11.111.2
12.2.1 

T, 124  L3: Classical information and Shannon entropy. II  
HW #2
2.1 Solution 2.2 Solution 2.3 Solution 2.4 Solution 2.5 Solution 2.6 Solution 
Th, 126

L4: Linear algebra and axioms of quantum mechanics. I
L45 
2.12.3 
T, 131  L5: Linear algebra and axioms of quantum mechanics. II  
Th, 22 
L6: Qubits. I
L67 
1.21.3  
T, 27  L7: Qubits. II  
HW #3
3.1 Solution 3.2 Solution 3.3 Solution 3.4 Solution 3.5 Solution 3.6 Solution 3.7 Solution 3.8 Solution 
Th, 29  L8: Quantum states. I. Mixed states  2.22.6 
T, 214 
L9: Quantum states. II. Multiple systems and entanglement
L912 Multiple systems, the tensorproduct space, and the partial trace Polar decomposition, singularvalue decomposition, and AutonneTakagi factorization An example of how the polar decomposition is used An example of the KochenSpecker theorem 

Th, 216  L10: Quantum states. III. Multiple systems and entanglement  
T, 221  L11: Quantum states. IV. Multiple systems and entanglement  
Th, 223  No lecture  
T, 228  L12: Quantum states. V. Multiple systems and entanglement  
HW #4
4.1 Solution 4.2 Solution 4.3 Solution 4.4 Solution 
Th, 32 
L13: Quantum dynamics. I. Generalized measurements
L1314 
2.2 
T, 37  L14: Quantum dynamics. II. Generalized measurements  
Th, 39 
L15: Quantum dynamics. III. Superoperators and completely positive maps
L1517 
8  
T, 314  Spring Break  
Th, 316  Spring Break  
T, 321  L16: Quantum dynamics. IV. Superoperators and completely positive maps  
Th, 323  L17: Quantum dynamics. V. Superoperators and completely positive maps  
HW #5
5.1 Solution 5.2 Solution 5.3 Solution 
T, 328 
L18: Quantum circuit model. I
L1820 
1.21.3
4.14.4 
Th, 330  No lecture  
T, 44  No lecture  
Th, 46  No lecture  
T, 411  No lecture  
Th, 413  L19: Quantum circuit model. II  
T, 418  No lecture  
Th, 420  No lecture  
T, 425  L20: Quantum circuit model. III  
HW #6
6.1 Solution 
Th, 427 
L2122: Qubit operations. III
L2122 
8.3 
HW #7
7.1 Solution 7.2 Solution 7.3 Solution 7.4 Solution 
T, 52 
L23: Cloning and distinguishability. I
L2324 
9 
Th, 54  L24: Cloning and distinguishability. II  
HW #8
8.1 Solution 
L2527: Quantum entropy
We do not have time for these lectures, which is unfortunate, because they circle back to the beginning lectures on classical information by providing the justification for thinking of qubits as the unit of quantum information and von Neumann entropy as measuring the number of qubits. All the material is here should you want to consult it. 
11.111.4
12.112.2 