• Identify fundamental differences between quantum mechanics and classical mechanics.
• Mathematically describe simple quantum phenomena using differential equations and linear algebra.
• Inspect role and dynamics of wave function in quantum systems using multidisciplinary fields of physics, computer science, and quantum theory.
• Interpret quantum signatures in experimental data.
• Analyze engineering challenges of quantum technologies including quantum computing and quantum communication.

Section A: Overview of Q Technologies

• Quantum Engineering
• Motivation: Quantum Computing
• Motivation: Quantum Communication
• Motivation: Quantum Sensing

Section B: Fundamentals of Quantum Mechanics

• The Birth of Quantum Mechanics
• Postulates of Quantum Mechanics
• Hamiltonian and Schrodinger Equation
• Dirac Notation
• Density Operator

Section C: Essential Concepts in Quantum Mechanics

• Operators in Quantum Mechanics
• Heisenberg Uncertainty
• Wave Particle Duality
• Coherence
• Entanglement

Section D: Quantum Resources: EM Waves

• Quantum EM Fields
• Polarization of Optical Fields
• EM Resonators
• Single Photon Detection
• E-Field Detection
• Quantum Light

Section E: Quantum Resources: Atoms

• Two-Level Atom
• Introduction to Light-Atom Interactions
• Trapping and Cooling Atoms
• Three-Level Atoms
• Rydberg Atoms
• Trapped Ions

Section F: Quantum Resources: Superconducting Devices

• Fundamentals of Superconductors
• Superconducting Two-Level Systems
• Superconducting Qubits
• Superconducting Circuits and Challenges

Section G: Quantum Sensing

• Light Interferometry – LIGO
• Particle Interferometry – Ramsey Measurement
• Sensing Via Defects in Diamond

Section H: Quantum Communication

• Quantum Cryptography
• Quantum Teleportation
• Quantum Memory
• Entanglement Distribution

Section I: Quantum Computation

• Introduction to Classical Computing
• Introduction to Quantum Computing
• Experimental Implementation of Quantum Computation
• Deterministic Two-Qubit Logic Gates
• Single and Two-Qubit Photonic Gates
• Superconducting Gates
• Quantum Logic Operation Using Trapped Ions
• Quantum Logic Operation Using Rydberg Atom
• Linear Optics Quantum Computing
• Engineering Quantum Systems