|
|
MIT Electrical Engineering and Computer Science
Fall 2002 Catalogue Supplement |
L TR9:30-11, Room 36-112
Prof. Jeffrey Shapiro, Room 36-419, 3-4179, jhs@mit.edu
Prereq.: 6.011 and 18.06
3-0-9
Qualifies as a subject in Communications, Control and Signal Processing Engineering Concentration
Quantum optics: Dirac notation quantum mechanics; harmonic oscillator quantization; number states, coherent states, and squeezed states; radiation field quantization and quantum field propagation; P-representation and classical fields. Linear loss and linear amplification: commutator preservation and the Uncertainty Principle; beam splitters; phase-insensitive and phase-sensitive amplifiers. Quantum photodetection: direct detection, heterodyne detection, and homodyne detection. c(2) nonlinear optics: phase-matched interactions; optical parametric amplifiers; generation of squeezed states, photon-twin beams, non-classical fourth-order interference, and polarization entanglement. Quantum systems theory: optimum binary detection; quantum precision measurements; quantum cryptography; and quantum teleportation. Term paper required.
This will be an advanced topics subject. Its essential prerequisite materials are undergraduate understanding of: probability (random variables, expectations), linear systems (Fourier and Laplace transforms), and linear algebra (vectors, matrices, eigenvalues and eigenvectors). There will be no text. Supplementary references for lecture material will be provided. There will be regular problem sets, but no quizzes or final examination. A term paper will be required. To assist in choosing term paper topics, a list of possibilities (with references) will be distributed.