MATH 2401 and familiarity with matrix calculus and finite dimensional vector spaces.
Location and Schedule:
Howey S106 Tuesday-Thursday 1:35-2:55PM
From January 6th till April 2004
Quantum Mechanics is the laws of nature governing very small
like electrons, atoms, nuclear spins, photons, are liable to store and transmit information.
However, this information does not follow the same rules as the one used in classical
systems such as modern computers or electronic devices.
The aim of the course, opened to students coming from various
areas, is to introduce
them to the above mentioned notions with a minimal amount of perequisites. The following
topics will be treated:
Final Exam The final grade will be composed 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 2004 in class.
Homework Problem Set 1 (to be announced soon) due January 20,
The homework will count as 30% of the final evaluation.
Report The students are asked to choose a
the following list
A proposal (topic, plan) will be submitted by February 3, 2004, for approval.
The final report should contain 15-20 pages, and will be submitted by April 20, 2004, following
the instruction below. This report will be graded and will count for 20% of the
List of topics
Qubits builts from quantum dots,
The "Quantronium": a Josephson junction qubit,
Controlled entanglement: physical realization,
Quantum computing with ion traps,
Quantum computing with NMR,
Quantum computing with photons,
Quantum computing with microwaves,
Can one quantum compute with excitons ?
Quantum cryptography: theory and applications,
Kitaev's topological quantum computing,
Algorithms: quantum search, quantum simulation, quantum counting
Decoherence: definition, examples, dissipation, mathematical description.
Error correcting codes,
Quantum versions of the Shannon theorem,
Quantum chaos as a possible limit to quantum computing,
Quantum noise: quantum corrections to Shottky theory of shot noise, experiments.
Classical logic and quantum computing: the Goedel theorem.
Quantum information theory.
Writing the report
The student will choose a topic among this list or make his own choice (with the approval
of the instructor). He will also choose one or two papers (or a book chapter) to read
as an illustration of this subject.
Proposal submission date (by
e-mail to the instructor ) Tuesday February 3rd, 2004, for approval.
The report should be typed and accessible by e-mail or on a web
site in .pdf format.
Using LaTeX is recommanded.
It should contain 15-20 typed pages and the following informations:
- an expository introduction (not more than one typed page) explaining the motivation,
the purpose and the history of the topic,
- a section describing the content of the paper that has been read. This part should contain at least
one technical aspect (calculation, experiment, computer simulation, or algorithm....),
- a conclusion (no more than one page) giving a clear description of the outcome for this topics,
its limitation, its future,
- a list of references: only those references effectively looked at by the student should be quoted;
a special attention will be paid upon how the references are quoted (exact location, standard),
web sites references can be used if properly quoted.
Report submission date Tuesday April 20th, 2004 (.pdf format copy accessible to the instructor).