Quantum Computation

Lecture Notes

The students in this class scribed the lecture notes. Typing a scribe report results in a bonus on the student's worst mark from a homework problem set. Scribe notes are used with permission. Not all lectures were scribed.

LEC #

TOPICS

LECTURE NOTES

1

Introduction and Overview

2

Basics of Quantum Mechanics

(PDF) (Courtesy of Vitaly Feldman. Used with permission.)

3

More Basics of Quantum Mechanics

4

Classical Computation Models and Quantum Gates

(PDF) (Courtesy of Moses Liskov. Used with permission.)

5

Quantum Circuits and a Simple Quantum Algorithm

(PDF) (Courtesy of Dion Harmon. Used with permission.)

6

More on Quantum Circuits

7

Simon's algorithm

8

Factoring

9

More on Factoring

10

Grover's search algorithm

11

Applications of Grover's Search Algorithm

(PDF) (Courtesy of Yuan-Chung Cheng. Used with permission.)

12

Superdense Coding and Quantum Teleportation

13

Quantum Computation Models

(PDF) (Courtesy of Eric Fellheimer. Used with permission.)

14

Cluster States

(PDF) (Courtesy of Ilia Mirkin. Used with permission.)

15

More on Computing with Cluster States

16

Quantum Error Correction

(PDF) (Courtesy of Dah-Yoh Lim. Used with permission.)

17

Quantum Mechanics

18

More on Quantum Mechanics

19

Guest Lecture by Isaac Chuang on Implementations of Quantum Computing: How to Build your Own Quantum Computer

(PDF) (Courtesy of Fen Zhao. Used with permission.)

20

Quantum CSS Codes

21

More on Quantum Error Correcting Codes

22

Quantum Cryptography

23

Fault-Tolerant Quantum Computation

(PDF) (Courtesy of Jonathan Hodges. Used with permission.)

Assignments

The homework assignments count toward 70% of the course grade.

ASSIGNMENTS

SOLUTIONS

Homework 1 (PDF)

(PDF)

Homework 2 (PDF)

(PDF)

Homework 3 (PDF)

(PDF)

Homework 4 (PDF)

(PDF)

Homework 5 (PDF)

(PDF)

Additional Optional Problems

ASSIGNMENTS

SOLUTIONS

Homework 1 (PDF)

(PDF)

Homework 2 (PDF)

(PDF)

Homework 3 (PDF)

(PDF)

Homework 4 (PDF)

(PDF)

Homework 5 (PDF)

(PDF)

Exams

Quiz 1 (PDF)

Quiz 1 Solutions (PDF)

Quiz 2 (PDF)