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Graduate courses

Departments' graduate courses for PhD-students.

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Syllabus for

Academic year
FKA173 - Quantum optics and quantum informatics  
Kvantinformation och kvantoptik
 
Syllabus adopted 2019-02-19 by Head of Programme (or corresponding)
Owner: MPNAT
7,5 Credits
Grading: TH - Five, Four, Three, Fail
Education cycle: Second-cycle
Major subject: Engineering Physics
Department: 59 - MICROTECHNOLOGY AND NANOSCIENCE


Teaching language: English
Application code: 18125
Open for exchange students: No
Block schedule: C

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0113 Examination 7,5c Grading: TH   7,5c   29 Oct 2019 am SB   Contact examiner,  Contact examiner

In programs

MPNAT NANOTECHNOLOGY, MSC PROGR, Year 1 (compulsory elective)
MPNAT NANOTECHNOLOGY, MSC PROGR, Year 2 (elective)
MPPAS PHYSICS AND ASTRONOMY, MSC PROGR, Year 2 (elective)

Examiner:

Thilo Bauch

  Go to Course Homepage

Replaces

FKA172   Quantum informatics


Eligibility:


In order to be eligible for a second cycle course the applicant needs to fulfil the general and specific entry requirements of the programme that owns the course. (If the second cycle course is owned by a first cycle programme, second cycle entry requirements apply.)
Exemption from the eligibility requirement: Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling these requirements.

Course specific prerequisites

We assume that you followed an introductory course in quantum physics. The lectures are given in a self-contained form,
introducing the necessary notation. A familiarity with the Dirac notation of quantum mechanics is helpful but not crucial.

Aim

The course gives an introduction on how one can manipulate and detect quantum mechanical (two-level) systems such as single atoms and photons, and how one can use them as quantum mechanical two level systems - quantum bits - for quantum information processing.

We study how matter interacts with an electromagnetic field at the quantum level (atoms and photons) and how one can perform experiments, which demonstrate the “strange” properties of quantum mechanics, e.g. teleportation. In such experiments one can use “ordinary" atoms or ions sitting in a trap, or artificial atoms: superconducting microelectronic circuits with quantum mechanical properties similar to atoms. These artificial atoms interact with optical photons, e.g. from a laser, or with microwave photons in a waveguide on a micro chip.

The course gives an overview on this very active field of research and connects to ongoing research on quantum mechanical superconducting circuits and microwave photons.

Such a quantum technology enables to build quantum computers and quantum communication systems. This allows to perform certain computations and simulations by using quantum algorithms that are faster than the corresponding classical algorithms. We will discuss some of them in the course. Moreover, one can implement quantum cryptography and communication over absolute safe channels.

Learning outcomes (after completion of the course the student should be able to)

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 quantum mechanical two-level system;
- understand the difference between classical and non-classical radiation;
- derive the Hamiltonian of an electronic circuit;
- analyze the properties of simple quantum algorithms and understand their difference with respect to the corresponding classical algorithms in terms of time complexity;
- compute the output state of simple quantum circuits composed of elementary single-qubit operations, entangling gates and measurements;
- explain and experimentally perform manipulations and measurements of the state of a superconducting qubit

Content

What is circuit quantum electrodynamics? 

Building blocks of quantum mechanics and quantum optics:
- two-level systems (qubits) and the Bloch sphere;

Quantizing an electronic circuit.

Interactions between light and matter:
- photons: classical and non-classical states of radiation;
- atom-field interaction: Rabi-oscillations and the Jaynes-Cummings hamiltonian;
- quantum decoherence;
- read-out of quantum information.

Quantum information science: 
- quantum algorithms: universal gate sets, Deutsch-Josza's, and Grover's algorithms;
- quantum communication; teleportation and quantum cryptography.

Organisation

Lectures, exercises, home work, and a state-of-the art experiment with report writing

Literature

Lecture notes, hand-outs.

The following literature is good but not strictly necessary to acquire:

"Introductory Quantum Optics" Christopher Gerry and Peter Knight, Cambridge University Press, ISBN-10: 052152735X

"Quantum Computation and Quantum Information" Michael A. Nielsen and Isaac L. Chuang Cambridge University Press (2000) ISBN 0 521 63503 9. Can be found as an e-book in the library.

Examination including compulsory elements

Weekly hand-ins, lab report, oral or written exam. For reexamination, contact the course examiners.


Published: Wed 26 Feb 2020.