Quantum Informatics (FKA 172) 7.5 hp (2012, 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:
You need to obtain at least 40% of the points on the exam, to pass the
course. The grade will then be based on: written Exam (50%), Hand-Ins
(25%) and, lab report (25%). The hand-ins will be handed out on Mondays
and should be handed in on Fridays (after one week) and will be corrected
until the exercise on Thursdays. The date of the written exam is
afternoon, Tuesday, October 23.
Location
Lectures and exercises are given in Luftbryggan A810 MC2, except
Thursday 20th of September when it is in Kollektorn A423 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 put in the box outside Michael's office or sent
directly to simoen -at- chalmers.se, before the dead-line.
2011 Hand-ins
Hand-in
1 , Hand-in
2 , Hand-in
3 , Hand-in
4 , Hand-in
5 .
Lecture notes
Laboratory 2012 (Transmon in a transmission line):
Deadline: Friday, October
12, 2012. Send the report to bauch -at- chalmers.se
The theory needed is found in the last section
of the "Decoherence and Bloch equations" lecture.
Literature:
Data sets:
No Literature Project 2012 Please ignore this paragraph!
- 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 2012
Old 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).
- Matlab GUI to calculate SCB energy levels, This is some matlab code to calculate the enrgy levels of a Single Cooper Pair Box.
To run, unzip the files and in Matlab run 'SCBGUI.p'. The ng range in which the levels are calulated, the number of levels to be calulated
and margin of extra states to be included in the Hamiltonian (on top of 2*ngMax+Elevel) can be set.
Recent exams
Answering two questions about the exam:
1) There might be questions on the lab, please look at the exam from March 2011 for the style of the questions (different lab though).
2) The lecture on quantum memories is not a core part of the course, it aimed at widening your horizons.