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6 ECTSP3Exame: Opcional
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Objectives

- Understanding the basis of light-matter interactions in the nanoscale. - Basic knowledge of modern solutions that may enable shrinking the footprint of light-based technologies to a deeply subwavelength scale. - Basic knowledge of the working principles of nonreciprocal nanoscale devices. - Introduction to quantum optics and quantum computation.

Syllabus

1. Electromagnetics and Polarization Optics. 2. Photonic Crystals. Band structure and photonic band gaps. 3. Introduction to plasmonics. Surface plasmons. Rayleigh diffraction limit. Biomedical and spectroscopy applications. 4. Nonreciprocal plasmonics. Nonreciprocity, one-way propagation, electromagnetic isolation in the nanoscale. 5. Introduction to Quantum Optics. Quantum harmonic oscillator. Quantization of the electromagnetic field. The photon concept. 6. Introduction to Quantum Computation. Entanglement and quantum key distribution. The measurement problem; from EPR to Bell nonlocality and PR boxes; unitary transformations; no-cloning principle; dense coding; quantum teleportation; from reversible classical computation to quantum computation; Shor’s and Grover’s algorithms; quantum error correction; quantum protocols; brief introduction to hardware implementations

Prerequisites

PROE (Propagation and Radiation of Electromagnetic Waves), Electromagnetism, Calculus and Linear Algebra

Cross Competence Component

The UC allows the development of transversal competences on Critical Thinking, namely strategic thinking and problem solving approaches (20% evaluated within the Mini-Tests and Exam).

Programming And Computing Component

Problem solving with the help of numerical platforms (Matlab and Mathematica).

Ethical Principles

All members of a group are responsible for the group’s work In any assessment, every student shall honestly disclose any help received and sources used. In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.