The second level master in O&QI
has
the specialized training of professionals in the field
of quantum information (communication and
computational quantum optics)as primary objective.

Access

Those persons
with degree in Electronic Engineering,
Telecommunications Engineering, Science of
Informations, Industrial Technologies and Physics
will be allowed to participate to the course. A good
knowledge of English language, both written and
spoken, will be a selective factor, since some
lectures will be given by European experts. Theregistration
form must be filled and sent to “Dipartimento di
Scienze di Base e Applicate per l’Ingnegeria - SBAI”
according
to indication in the web site:

The first one
begins in February and ends in May. In this period
will be given the courses of lectures of the first
series. The schedule of the lectures will be
organized from time to time in accordance with the
didactic requirements and above all in accordance
with the operating requirements of the military
participants. At the end of the first series, within
the limits of the quarter, the participants will
take the exams for the credits achieving.

The second one
begins in June and ends in September indicatively.
In this period the courses of lectures of the second
series will be given, and at the end of the quarter
the related exams will be taken.

In the third
quarter, between October and December, the
participant will take part to stages in industrial
or research laboratories otherwise, in alternative,
will choose other courses of lectures and for the
thesis.

The dispute of
the thesis and the related achieving of the Diploma
will be taken place at the end of the third quarter.
A session of extra lessons will be expected in
January.

At
the end of the course, the participant gets from the
University
of Rome La Sapienza
the Master’s
Degree of second levelinO& QI. The Master’s achievement is
subject to the achievement of 60 didactic credits.

Didactic
seat

The
lectures will be mostly performed, in the area of
SBAI Department.

Address:

Dipartimento di Scienze
di Base e Applicate per l’Ingegneria - SBAI

Optics: Fundamentals
of geometrical optics. Waves. Sinusoidal waves. Plain
waves. Refraction index. Polarization, diffraction.
Propagation in anisotropic and inhomogeneous media
(photonic crystals). Gaussian beams, Bessel beams, Laguerre-Gauss beams. Outline of
“singular” optics. Outline of spectroscopy.

Nonlinear Optics:
Polarization vector. Intuitive
explanation of optics nonlinearities. Nonlinear
susceptibility tensor, second order effects.
Production of second harmonic and parametric
processes, third order effects. Nonlinear refraction
index self-focusing e
self-defocusing. Parametric processes.

Laser (quantum
electronics): Structure
of matter. Plasmon. Principles of radiation-matter
interaction. Continuous and pulsed laser systems.
Parametric oscillators. Q-dots. Photonic crystal
laser. Nanolaser. Integrated fibers. Nonlinear
integrated fibers. In-out coupling of the radiation in
embedded systems.

Optoelectronicdevices:
Semiconductors and III-IV compounds.
Homojunctions, heterojunctions and quantum wells.
Junction photodetectors: pn, pin, avalanche
photodetectors, single
photon avalanche diodes. Noise in photodetectors,
connection signal-noise, sensibility, BER and Q in
optic receivers. Photodetector quantum limit. Fiber
optics: typologies, electromagnetic propagation,
dispersion (modal, chromatic and polarized), losses
and nonlinear effects. Optical amplification:
saturation, bandwidth, noise figure. Light guides in
organic and inorganic dielectrics. Couplers, junctions
to X, Y, and integrated interferometers. Electro-optic
and acoustic-optic modulators. Optical logic gates.

Information
Theory: Review of
probability theory, random variables, stochasticprocesses,
stationarity and ergodicity, examples: Gaussian
processes and Markov chains – Shannon, Renyi and Von
Neumann entropies, relative entropy, Kullback Leibler
distance, mutual information, sufficient statistics,
Fano’s inequality, Shannon theorem on source coding,
Kraft inequality, Huffman codes – Channel capacity,
Shannon theorem on channel coding, examples: capacity
of binary symmetric channel; capacity of Gaussian
channel – Fundamentals of rate-distortion theory,
maximum entropy principle

Quantum
Information I: Classical
Electrodynamics: fundamental equations and dynamical
variables. Quantum Electrodynamics in the Coulomb
Gauge: general framework, time evolution, observables
and states of the quantized free field, the
Hamiltonian for the Interaction between particles and
field. Coherent interaction: two state dynamics,
Jaynes-Cummings model. Quantum Statistics of the
field. Dissipative processes. Dressed states.

Quantum
Information II:
Finite-Dimensional Hilbert Spaces: Quantum bits,
Multiple qubits, Quantum Tomography, Entanglement,
Bell Inequality, Teleportation, No-cloning. Quantum
Information Theory: Entropy and Information, the
Holevo Bound, Communication over noise quantum
channels, entanglement as physical resource. Quantum
dense coding and quantum cryptography.
Infinite-Dimensional Hilbert Spaces.

Quantum
Computing: Quantum
circuits. Single and multiple qubits gates Quantum
Fourier transform and its applications. Quantum search
algorithms.

Devices
for quantum computing: Conditions for
quantum computation. Harmonic oscillator quantum
computer. Optical quantum computer. Ion traps. Nuclear
magnetic resonance. Other implementation schemes.

During the Optics courses a Laboratory
course will be performed on the optical
phenomena and devices described in the lectures
given in the theoretical units, in particular:
Classical Optics; Geometrical optics; Interference;
Diffraction; Twyman-Green; Michelson and Mach-Zehnder
interferometers; Grating diffraction; Monochromators;
Optical fibres and Losses measurement in fibre optics
communications.

Quantum Optics: Experiments under low
photon number conditions, Quantum beam-splitter,
Anti-bunching.

Nonlinear Optics: Second harmonic
generation, Pockels effect.

Final
exam (6 credits)

The
teaching will be ensured by specialists (coming
not only by the academic society) in the above
indicated arguments .

Insertion
in the working society

The
participant to the Master will have a specific
education in the filed of technologies related to
the Optics and the quantistic elaboration of the
information.

The objective of the Master is to provide
real technical abilities to participants andto be going
to form professionals who, after one year for
specialized preparation, would be ready for the work
society with a education of high-profile technical and
practical knowledge, at the European level.