Quantum Physics
Physics
A PhD-level exploration of quantum mechanics and quantum computing — from Hilbert spaces and the Schrödinger equation through entanglement, quantum algorithms, and error correction. Develop deep intuition through interactive visualizations of wavefunctions, the Bloch sphere, and quantum circuits.
Learning Objectives
- Master the mathematical formalism of quantum mechanics: Hilbert spaces, bra-ket notation, Hermitian operators, and the spectral theorem
- Derive and apply the Schrödinger equation; analyze stationary states for the particle in a box, harmonic oscillator, and hydrogen atom
- Understand wave-particle duality, the Heisenberg uncertainty principle, and quantum measurement theory
- Analyze quantum entanglement, Bell inequalities, and the no-cloning theorem
- Understand quantum computing: qubit gates, quantum circuits, and the Bloch sphere representation
- Study quantum algorithms: Shor's factoring, Grover's search, QAOA, and VQE
- Identify which problems quantum computers can (and cannot) solve faster than classical computers
- Understand quantum error correction: stabilizer codes, surface codes, and the fault-tolerance threshold
Lessons
1
Mathematical Foundations: Hilbert Spaces, Bra-Ket Notation, and Linear Operators
35 min
2
Wave-Particle Duality and the Double-Slit Experiment
35 min
3
The Schrödinger Equation: Time-Dependent and Time-Independent Forms
35 min
4
The Heisenberg Uncertainty Principle
30 min
5
The Quantum Harmonic Oscillator and Ladder Operators
35 min
6
Angular Momentum, Spin-½ Systems, and the Stern-Gerlach Experiment
35 min
7
The Hydrogen Atom: Exact Solution and Atomic Orbitals
35 min
8
Quantum Entanglement, Superposition, and Bell’s Theorem
35 min
9
Quantum Measurement, Decoherence, and Interpretations of Quantum Mechanics
30 min
10
Introduction to Quantum Computing: Qubits, Quantum Gates, and Quantum Circuits
40 min
11
Quantum Algorithms I: Quantum Fourier Transform and Shor's Algorithm
40 min
12
Quantum Algorithms II: Grover's Search, QAOA, and Variational Quantum Algorithms
40 min
13
What Quantum Computers Can and Cannot Solve: Complexity, Advantage, and Limits
35 min
14
Quantum Error Correction: Stabilizer Codes, Surface Codes, and Fault Tolerance
35 min
15
Placement Test Practice — Quantum Physics
45 min
Quick Practice
Test your knowledge with a quick interactive challenge from this module.
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Key Concept Flashcards
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