Quantum Information Science

Lecture Notes

The lecture notes for this course were scribed by the students and are used with their permission.

SES #

TOPICS

STUDENTS

1

Quantum Operations; Operator Sum Representation; System-Environment Model (PDF)

Kayla Jacobs

2

Quantum Error Correction - Criteria and Examples (PDF)

Jennifer Novosad

3

Calderbank Shor Steane Codes (PDF)

Saikat Guha

4

Stabilizers; Stabilizer Quantum Codes (PDF)

Kayla Jacobs

5

Topological Quantum Codes; Kitaev's Anyon Model (PDF)

Igor Sylvester

6

Stabilizers II; Computing on Quantum Codes (PDF)

Danial Lashkari

7

Concatenated Codes; The Threshold Theorem (PDF)

Salman Abolfathe

8

Cluster State Quantum Computation (PDF)

Kayla Jacobs

9

Measurement and Teleportation Based Quantum Computation (PDF)

Kayla Jacobs

10

Adiabatic Quantum Computation (PDF)

Edward Platt

11

Quantum Algorithms on Graphs; Quantum Random Walks (PDF)

Isaac Kim

12

Quantum Algorithms: The Abelian Hidden Subgroup Problem; QFT Over Sn (PDF)

Kayla Jacobs

13

The Nonabelian HSP; Hidden Dihedral Group; Positive and Negative Results (PDF)

Igor Sylvestor

14

Channels I: Quantum Data Compression; Entanglement Concentration; Typical Subspaces (PDF)

Stephen Jordan

15

Channels II: Holevo's Theorem; HSW Theorem; Entanglement Assisted Channel Capacity (PDF)

Saikat Guha

16

Channels III: Quantum-Quantum Channels, Mother/Father Protocol; Distillable Entanglement (PDF)

Kayla Jacobs

17

Entanglement as a Physical Resource (PDF)

Igor Sylvestor

18

Quantum Protocols - Quantum Communication Complexity; Distributed Algorithms (PDF)

Jennifer Novosad

19

Quantum Games (PDF)

Kayla Jacobs

20

Quantum Cryptography (PDF)

Edward Platt

21-22

Project Meetings

 

23-26

Project Presentations

 

Assignments

Problem Set 1 (PDF)

Problem Set 2 (PDF)

Problem Set 3 (PDF)

Problem Set 4 (PDF)