Quantum Complexity Theory
Lecture Notes
LEC # |
TOPICS |
LECTURE NOTES |
1 |
Quantum basics |
(PDF) |
2 |
More quantum basics |
(PDF) |
3 |
Quantum circuits |
(PDF) |
4 |
BQP and classical friends |
(PDF) |
5 |
Quantum algorithms: Deutsch-Jozsa |
(PDF) |
6 |
Quantum algorithms: Simon's algorithm |
(PDF) |
7 |
Shor's algorithm and the hidden subgroup problem |
(PDF) |
8 |
Hidden subgroup problem and Grover's algorithm |
(PDF) |
9 |
Grover's algorithm and BBBV |
(PDF) |
10 |
Quantum query complexity lower bounds |
(PDF) |
11 |
More quantum query complexity |
(PDF) |
12 |
Query complexity and the collision problem |
(PDF) |
13 |
The collision problem |
(PDF) |
14 |
BQP vs. PH and QMA |
(PDF) |
15 |
QMA |
(PDF) |
16 |
QMA and variants |
(PDF) |
17 |
QIP |
(PDF) |
18 |
PostBQP |
(PDF) |
19 |
Closed timelike curves |
(PDF) (Courtesy of Joshua Horowitz. Used with permission.) |
20 |
BQP/qpoly |
(PDF) |
21 |
Quantum communication complexity |
(PDF) (Courtesy of Colin Jia Zheng. Used with permission.) |
22 |
More quantum communication complexity |
(PDF) (Courtesy of Colin Jia Zheng. Used with permission.) |
23 |
Classical simulation |
(PDF) |
24 |
Grab bag |
(PDF) |
25 |
Student project presentations |
|
26 |
Student project presentations (cont.) |
|
Assignments
ASSN # |
TOPICS |
PROBLEM SETS |
1 |
Quantum basics |
(PDF) |
2 |
Basic training for the BQP army |
(PDF) |
3 |
Quantum algorithms and lower bounds |
(PDF) |
4 |
Quantum lower bounds and more |
(PDF) |