Students adopting the graded track will be graded on their performance on the homework assignments; the homework will not be graded, but you should discuss your completed assignment with the instructor by the due date. To receive a grade of CR on the ungraded track, students need only attend the lectures and show interest. There will not be any exams.

Each homework assignment will consist of several problems, some of which will be quite ambitious. The homework problems will be assigned individually, each with its own due date. This allows me more easily to make up problems that occur to me as we go along.

You should consult the syllabus often to keep track of changes and to get access to course material, particularly the homework problems as they are assigned.

I'm pretty confident we can cover the material in the time allotted. We will perhaps seem to be going pretty slowly, but this reflects my general philosophy that it is better to learn a few things well than to be exposed to many things sketchily.

Homework	Class session	Lectures	Nielsen and Chuang
HW #1 1.1: Discuss 8-28 Solution 1.2: Discuss 8-28 Solution 1.3: Discuss 9-5 Solution 1.4: Discuss 9-5 Solution 1.5: Discuss 9-5 Solution 1.6: Discuss 9-5 Solution	F, 8-23	L1: Probabilities and laws of large numbers
	T, 8-26	L2: Probabilities as betting odds and the Dutch book. Simple Dutch-book derivation of the probability rules, taken from a seminar talk. Coin tossing: analysis and experiments
	Th, 8-28	L3: Classical information and Shannon entropy.  I L3-4 Axiomatic derivation of Shannon information, taken from Chris Fuchs's 1996 UNM PhD dissertation	11.1-11.2 12.2.1
	F, 8-29	No meeting
	T, 9-2	L4: Classical information and Shannon entropy. II
	Th, 9-4	L5: Linear algebra and axioms of quantum mechanics. I L5-6	2.1-2.3
	F, 9-5	Discussion
HW #2 2.1: Discuss 9-19 Solution 2.2: Discuss 9-19 Solution 2.3: Discuss 9-19 Solution 2.4: Discuss 9-19 Solution 2.5: Discuss 9-19 Solution 2.6: Discuss 9-19 Solution	T, 9-9	L6: Linear algebra and axioms of quantum mechanics. II
	Th, 9-11	L7: Qubits. I L7-8	1.2-1.3
	F, 9-12	L8: Qubits. II
	T, 9-16	L9: Quantum states. I. Mixed states L9-10	2.2-2.6
	Th, 9-18	L10: Quantum states. II. Mixed states
		L10: Quantum states. II. Multiple systems and entanglement L10-14 Multiple systems, the tensor-product space, and the partial trace An example of how the polar decomposition is used An example of the Kochen-Specker theorem
	F, 9-19	Discussion
HW #3 3.1: Discuss 10-3 Solution 3.2: Discuss 10-3 Solution 3.3: Discuss 10-3 Solution 3.4: Discuss 10-3 Solution 3.5: Discuss 10-17 Solution 3.6: Discuss 10-17 Solution 3.7: Discuss 10-17 Solution	T, 9-23	L11: Quantum states. III. Multiple systems and entanglement
	Th, 9-25	L12: Quantum states. IV. Multiple systems and entanglement
	F, 9-26	No meeting
	T, 9-30	L13: Quantum states. V. Multiple systems and entanglement
	Th, 10-2	L14: Quantum states. VI. Multiple systems and entanglement
	F, 10-3	Discussion
	T, 10-7	L15: Quantum dynamics. I. Generalized measurements L15-16	2.2
	Th, 10-9	Fall Break
	F, 10-10	Fall Break
	T, 10-14	L16: Quantum dynamics. II. Generalized measurements
	Th, 10-16	L17: Quantum dynamics. III. Superoperators and completely positive maps L17-20	8
	F, 10-17	Discussion
HW #4 4.1: Discuss 10-31 Solution 4.2: Discuss 10-31 Solution 4.3: Discuss 10-31 Solution 4.4: Discuss 10-31 Solution	T, 10-21	L18: Quantum dynamics. IV. Superoperators and completely positive maps
	Th, 10-23	No meeting
	F, 10-24	L19: Quantum dynamics. V. Superoperators and completely positive maps
	T, 10-28	L20: Quantum dynamics. VI. Superoperators and completely positive maps
	Th, 10-30	L21: Quantum circuit model. I L21-23	1.2-1.3 4.1-4.4
	F, 10-31	Discussion
HW #5 5.1: Discuss 11-7 Solution 5.2: Discuss 11-7 Solution 5.3: Discuss 11-15 Solution	T, 11-4	L22: Quantum circuit model. II
	Th, 11-6	L23: Quantum circuit model. III
	F, 11-7	Discussion
HW #6 6.1: Discuss 11-15 Solution	T, 11-11	L24: Qubit operations. I L24-25	8.3
	Th, 11-13	L25: Qubit operations. II
	F, 11-14	No meeting
	Sa, 11-15 11:00 am-2:00 pm	Discussion
HW #7 7.1: Discuss 11-22 Solution 7.2: Discuss 11-22 Solution 7.3: Discuss 11-22 Solution 7.4: Discuss 11-22 Solution	T, 11-18	L26: Cloning and distinguishability. I L26-28	9
	Th, 11-20	L27: Cloning and distinguishability. II
	F, 11-21	L28: Cloning and distinguishability. III
	Sa, 11-22 11:00 am-2:00 pm	Discussion
HW #8 8.1: Discuss 12-5 Solution	T, 11-25	L29: Quantum entropy. I L29-31	11.1-11.4 12.1-12.2
	Th, 11-27	Thanksgiving holiday
	F, 11-28	Thanksgiving holiday
	T, 12-2	L30: Quantum entropy. II
	Th, 12-4	L31: Quantum entropy. III
	F, 12-5	Discussion