CS294-2: Quantum Computation
Spring 2007
Instructor Umesh Vazirani
Office: 671 Soda, 642-0572
Lectures: MW 2:30-4 (410 HMMB)
Office Hours: M 1-2 (671 Soda)
Announcements
Homework
 Homework 1 [pdf,ps] (1/31)
 Homework 2 [pdf,ps] (2/12)
 Homework 3 [pdf,ps] (3/22)
Lecture notes
Topic
Notes
(modified)
1
1/17 Intro, Axioms, Bell Inequalities.
2
1/22
Hilbert Space, Tensor product, Quantum gates, Bell states.
Inequalities.
[pdf,ps] (1/22)
3
1/24
Hilbert Space, Superdense Coding, Teleportation.
Inequalities.
[pdf,ps] (1/24)
4
1/29 Reversibility, Quantum Computers are Digital .
[pdf,ps] (1/29)
5
1/31 Quantum Complexity Theory .
[pdf,ps,tif]
6
2/5
Quantum Computation and Extended Church-Turing Thesis
.
[pdf,ps]
7
2/7
Simon's Agorithm + QFT .
[pdf,ps]
8
2/12 Quantum Factoring .
[pdf,ps]
9
2/14 Abelian HSP + Discrete Log .
[pdf,ps]
10 2/21
Lower Bounds for Unstructured Search, Quantum Zeno Effect.
.
11 2/28 Quadratic speedup for Unstructured Search - Grover's Algorithm.
[pdf,ps] (1/19)
[pdf,ps]
[pdf,ps]
.
12 3/5
Phase Estimation .
[pdf,ps]
13 3/7
Quantum Information .
[pdf,ps]
14 3/12
Bipartite States, Schmidt Decomposition, Bit Commitment
.
[pdf,ps]
15 3/14
Quantum Lower Bounds - Guest Lecture by Robert Spalek
.
[pdf,ps]
16 3/19
Search by Quantum Walk - Guest Lecture by Ashwin Nayak
.
[pdf,ps]
17 3/21 Holevo's Theorem, Random Access Codes. .
[pdf,ps]
18 4/2
Applications of Random Access Codes. .
[pdf,ps]
19 4/4
Adiabatic Quantum Computation .
[pdf,ps]
20 4/9
QMA Completeness .
[pdf,ps]
21 4/11 Quantum Error Correction .
[pdf,ps]
22 4/16 Stabilizer Formalism .
[pdf,ps]
23 4/18
Quantum Non-locality - guest lecture Jeremy Roland
.
[pdf,ps]
24 4/25 Non-abelian HSP .
[pdf,ps]
25 4/30 Fault tolerance I - guest lecture Ben Reichardt .
[scanned,
pdf,ps]
26 5/2
Fault tolerance II - guest lecture Ben Reichardt .
[scanned,pdf,ps]
27 5/7
Universality of Adiabatic QC + Low entanglement .
[pdf,ps]
Some suggestions for projects [pdf]
Scribe Schedule [pdf]
Style file [cs294.sty]
[ Latex macro package for typesetting quantum circuits ]

Useful Links:

Los Alamos archive of papers and preprints on Quantum Mechanics and Quantum Computation:
link
Recommended reading
On quantum computation

John Preskill's Quantum Computation course at Caltech: link


Nielsen and Chuang, Quantum Computation and Quantum Information
An encyclopedic reference for quantum information theory. weaker coverage on computational
issues.
Kitaev, Shen and Vyalyi, Classical and Quantum Computation
Interesting but idiosyncratic.
Mathematical background


Strang, Gilbert. Linear Algebra and Its Applications
Good review of matrix theory and applications.
Jordan, Thomas F. Linear operators for Quantum Mechanics
Thorough presentation of operators and mathematical structure.
On quantum mechanics in general





Feynman, Richard P. The Feynman Lectures on Physics, volume 3
A famous introduction to undergraduate physics. Good section on 2-state systems.
Griffiths, David J. Quantum Mechanics
Very clear explanations, doesn't cover everything.
Liboff, Richard L. Introductory Quantum Mechanics
Good coverage, explanations medium. See Ch. 16 in the new (4th) edition for intro. to Quantum
Computing.
Baym, Gordon. Lectures on Quantum Mechanics
Graduate level textbook. Very clear exposition of the physics.
Feynman, Richard. QED
Highly recommended popular science book.