ECE 69500 - Quantum Signal Processing
Course Details
Lecture Hours: 3 Credits: 3
Counts as:
- EE Elective
- CMPE Selective - Special Content
Normally Offered:
Every other Fall
Requisites:
ECE 30100 and (ECE 31100 or 30411)
Requisites by Topic:
Fourier Transforms, Laplace Transforms, Z-transforms, partial differential equations, electromagnetism, undergraduate-level of electricity and magnetism.
Catalog Description:
This course will help graduate students develop the necessary tools to advance their understanding of traditional signal processing through the modern context of quantum metrology.
Required Text(s):
None.
Recommended Text(s):
- Noise and Fluctuations: an Introduction , K. C. Macdonald
- Optical Coherence and Quantum Optics , E. Wolf and L. Mandel
Lecture Outline:
| Week | Topics |
|---|---|
| 1 | Shot Noise, Thermal Noise, Flicker Noise |
| 2 | Classical vs. Quantum Noise |
| 3 | Quantum Fourier Transform |
| 4 | Fractional Fourier Transform |
| 5 | Single photon detectors, superconducting detectors |
| 6 | Optical coherence and statistics |
| 7 | ultrasensitive interferometry and squeezed light, Wigner transforms |
| 8 | Quantum estimation theory |
| 9 | Quantum state tomography |
| 10 | Classical vs. quantum random walks, Fokker Planck equation |
| 11 | Fokker-Planck equation |
| 12 | Classical vs. quantum coherence, excitonic energy transfer1 |
| 13 | Quasi-crystals and disordered media (applications in bio-imaging) |