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ELEC_ENG 395: Quantum Engineering


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Description

Course Run: Fall 2025

Instructor: Mahdi Hosseini

Course Description: 
This course provides an introduction to Quantum Engineering, integrating foundational quantum theory with real-world applications in modern technology. Students will explore the principles of quantum mechanics, quantum operators, and the Schrödinger equation, followed by insights into quantum devices, including photonic and superconducting circuits. The course delves into quantum limits in microscopy, quantum communication protocols such as teleportation and entanglement, and the basics of quantum computation, including quantum gates and decoherence. Designed for engineering and physics undergraduates, this course blends theory with technological applications to prepare students for emerging quantum industries.

Prerequisite: ELEC_ENG 202, PHYSICS 135-3; MATH 234, equivalent, or by instructor permission. 

Suggested Textbooks: 1. Quantum Information Theory, Edition: 2nd Edition, Author: Mark M. Wilde, 2017, ISBN: 9781107176164. 2. Quantum Communication; The Physical Layer of Future Optical Networks, https://doi.org/10.1142/13490, 2023, author: Mahdi Hosseini

Course Topics:

1. Noiseless Quantum Theory (2 Weeks): Principles of Quantum Mechanics, Operators in Quantum Mechanics, Dirac Notation, Schrödinger Equation, Harmonic Oscillator, Potential Well

2. Quantum Resources (2 Weeks): Photons, Trapped Atoms and Ions, Superconducting Circuits

3. Quantum Microscopy (2 Weeks): Heisenberg Uncertainty, Shannon Entropy and Parameter Estimation, Diffraction Limit, Quantum Tunneling, Electron Microscopy, Quantum Sensing with Atoms and Photons

4. Quantum Communication (2 Weeks): No-Cloning Theorem, Quantum Key Distribution, Entanglement, Teleportation, Quantum Communication Devices

5. Quantum Computation (2 Weeks): Touring Machine, Logic Operation, Universal Quantum Computing, Quantum Gates, Physical Realization of Quantum Gates, Error and Decoherence, Quantum Computation Devices, Quantum Programming on Microsoft Azure Quantum (time permitted)

Grade:
Homework 50%, Exam 50% (Weekly homework is due on Mondays 11:59pm)

Course Learning Objectives:
Upon completing this course, students will:

-Demonstrating an understanding of the fundamental differences between quantum and classical information.

-Apply mathematical techniques to analyze basic noiseless quantum information, enabling the interpretation and prediction of outcomes in quantum systems involving quantum interaction.

-Develop a familiarity with quantum engineering techniques, devices and applications