Quantum Informatics (FKA 172) 7.5 hp (2011, Q1)
Goals of the course.
After the course the student should be able to:
- explain the properties of the Jaynes-Cummings model
- use the Bloch equations to describe the dissipative dynamics of a
two-level system
- explain the basic features of a quantum measurement process
- analyze the properties of simple quantum algorithms
- communicate the basic features of quantum computing and Shor's
algorithm, and teleportation to a friend.
Examination:
The grade will be based on: written Exam (60%), Hand-Ins (25%) and, paper presentation (15%).
The hand-ins will be handed out on Mondays and should be handed in on
Mondays (after one week) and will be corrected until the exercise on
Thursdays.
The date of the written exam is afternoon, Wednesday, October 19.
Location
Lectures and exercises are given in Kollektorn MC2, except Thursday 6th of October when it is A810 at MC2.
Please see the
schedule in TimeEdit for up-to-date information.
Literature:
- Lecture Notes
- On Quantum Optics:
"Introductory Quantum Optics",
by Christopher Gerry and Peter Knight,
Cambridge University Press,
ISBN-10: 052152735X
- On Quantum Algorithms:
Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang
Cambridge University Press (2000)
ISBN 0 521 63503 9
Hand-ins
The hand-ins are either handed in at the Monday class or sent
directly to simoen -at- chalmers.se,
before the dead-line.
- Hand-in 1 , deadline at class Monday 12th of September
2011.
- Hand-in 2 , deadline at class Monday 19th of September
2011.
- Hand-in 3 , deadline at class Monday 26th of September
2011.
- Hand-in 4 , deadline at class Monday 3rd of October
2011.
- Hand-in 5 , deadline at 17:00 on Friday 14th of October
2011.
Lecture notes
Literature Project
- Each student chooses a research paper and reports their choice to Goran.L.Johansson -at- chalmers.se before the 29th of October. (Visit mina4-49.mc2.chalmers.se/~gojo71/KvantInfo/LiteratureProjectPapers/ for paper suggestions.)
- Send a maximum two page (font 12) summary to Goran.L.Johansson -at- chalmers.se, with deadline Friday 7th of October at 17:00.
- Each student then give a 10 minute presentation, on the lecture time 08:00-09:45 on Wednesday and Thursday 12-13th of October. All students should be present for all presentations. (In order to give the possibility for a good scientific discussion.)
Older lecture notes
New Recitations of 2011
External Links
- Rabi Hamiltonian Dynamics ,
This
applet visualizes the time-evolution of an arbitrary state vector on
the Bloch sphere for the Rabi Hamiltonian.
Choosing the following parameters corresponds to the Rotating Wave
Approximation (Rabi frequency << atom transition frequency) we
discussed during the lecture: Gamma1=0.001; Gamma2=0.0005
(small damping);
Detuning = -2*Pi*10 (corresponds to atom transition frequency
omega_0); Phi = 0; Theta = 0;
Rabi Freq. = 2*Pi*0.1*cos(2*Pi*10*t)
(corresponds to <e|d*E|g>*cos(omega*t));
T_Start = -10; T_Stop = 10.
- Overview of the Dirac Notation, This overview are
some lecture notes taken from the Fundamentals of Nanoscience Course (FKA 131), taugth by
Mikael Fogelström amongst others. They provide a basic overview of the Dirac Notation.
The book "Quantum Mechanics" by Herbert
Kroemer (Prentice Hall, ISBN:0-13-747098-3) provides a good basis in
Quantum Mechanics (Dirac Notation is found in Ch.7).
Exam information