Prerequisites:

MATH 2401 and familiarity with matrix calculus and finite dimensional vector spaces.

*Location and Schedule:*
(Spring
2005)

Skyles 246 Tuesday-Thursday 1:35-2:55PM

From January 11th till April 2005

Homework for the week

*Course description*

**Textbook for the course**

Quantum
Computation and Quantum Information

by Michael A. Nielsen, Isaac L. Chuang .

Cambridge Univ Press, (2000)

Quantum Mechanics is the law of nature governing very small
systems.
Such systems,

like electrons, atoms, nuclear spins, photons, are liable to store and
transmit information.

Such small quantum systems do not couple easily to the rest of the
world, so that they evolve with

no loss of information as long as no measurement is made on them. It is
thus, in principle, possible

to make such a system compute for us, much faster than any available
computer and have the loss of

information only at the very end, while retrieving the result.

The aim of the course, opened to students coming from various
areas, is to introduce

them to quantum computing with a minimal amount of perequisites. The
following

topics will be treated:

Error correcting codes.

For an overview see

Two Lectures on

"I: Introduction. Qubits, Quantum circuits (pdf) "

(PowerPoint version 0.4MB)

(PowerPoint version 0.7MB)

given at Georgia Institute of Technology,

School of Mathematics, Atlanta, GA, October 15 & 29, 2003

*Final Exam *` `1st week of May.

The
final grade will be made of :

(i)
Homework (30%)

(ii) Report (20%) (see below the list of
possible topics)

(iii) Final written exam (50%)

* **
***Program : **All chapters
of the Book Quantum
Computation and Quantum Information

(by
Michael A.
Nielsen, Isaac L. Chuang . Cambridge Univ Press, (2000) )

that will
be treated during the Spring semester 2005 in class.

*Homework **The
homework will
count
as 30% of the final evaluation.
*Find the homework of the week here !!

*Report*` `The
students are asked to choose a
subject among
the following list

A proposal (topic, plan) will be submitted by *February
3, 2005, for *approval*.*

A progress report will be submitted on March 8th, 2005, *
*
The final report should contain 15-2

the instructions below. This report will be graded and will count for

final evaluation.

* ** ** ***List of topics (**non exhaustive**)
**

* ** **
Qubits builts from quantum dots,*

*
** ***Writing the report **

* **The
student will choose a topic among this list or make his own
choice (with the approval
*

* *Proposal submission
date* (.pdf file to be sent by
e-mail to the instructor ) ** Thursday **February 3rd, 2005, for *approval

The proposal should be presented on 1/2 a page in .pdf format,
containing

(i) the title (ii) a list of possible sections organizing the report
(iii) a list of documents to start with

together with their exact and complete reference

* **The
report should be typed and accessible by e-mail or on a web
site in .pdf format.
*

the student has mastered technics taught in class.

- a conclusion (no more than one page) giving a clear description of the outcome for this topics,

* *Progress report: submission
date* (.pdf file by
e-mail to the instructor ) **Tuesday March** 8th, 2005, Students
will give an account of what they have done so far: list of documents
collected, an updated outline and
4-5 pages already written (to check the style).*

* *Report submission
date* **Thursday
April 21st, 2005 (.pdf format copy accessible to the
instructor).
*

*Useful Links*