QuResource: Quantum Computing Learning Resources

Vectors, Matrices, Eigenvalues, Eigenvectors

• Gilbert Strang's Linear Algebra (MIT)
• Eigenvalues and Eigenvectors (MIT)

Basic probability, Distributions, Bayes' Theorem

• Probability Basics (StatQuest)
• Bayes' Theorem (StatQuest)

Superposition, Wave-particle duality

• Quantum Mechanics Introduction (Veritasium)
• Superposition Explained (MinutePhysics)
• Quantum vs. Classical (SandboxAQ)
• Wave-Particle Duality (Domain of Science)

Logic gates, Bits, Classical circuits

• Classical Computing Basics (CrashCourse)
• Boolean Algebra (Computerphile)

Tensor products, Inner/Outer products, Unitary matrices

• Tensor Products (Faculty of Khan)
• Inner and Outer Products (Faculty of Khan)
• Unitary Matrices (Faculty of Khan)

Bra-Ket notation, Operators, Basis states

• Bra-Ket Notation (Quantum Sense)
• Hilbert Spaces (Faculty of Khan)

Schrödinger equation, Measurement, Postulates of QM

• Schrödinger Equation (Quantum Sense)
• Measurement in QM (Physics Explained)
• Postulates of QM (Quantum Sense)

Single-qubit states, Quantum state visualization

• Bloch Sphere (Qiskit)
• Qubit Visualization (Quantum Sense)
• Additional Resource

Pauli gates, Hadamard, Phase, CNOT, Unitary transformations

• Quantum Gates (Qiskit)
• Hadamard and CNOT (Quantum Sense)

Quantum parallelism, Interference in quantum states

• Superposition (Veritasium)
• Interference Explained (MinutePhysics)

Bell states, EPR paradox, Non-locality

• Entanglement Basics (Veritasium)
• EPR Paradox (MinutePhysics)

Projective measurement, Collapse of the wavefunction

• Measurement Basics (Quantum Sense)
• No-Cloning Theorem (MinutePhysics)

Circuit model, Adiabatic QC, Measurement-based QC

• Circuit Model (Qiskit)
• Adiabatic QC (Quantum Sense)

Qiskit introduction, Writing first quantum circuit

• Qiskit Intro (Qiskit)

Quantum phase estimation

• QFT Basics (Qiskit)
• Quantum Phase Estimation (Quantum Sense)

Breaking RSA, Post-quantum security

• Shor's Algorithm (Qiskit)
• Quantum Cryptography (Veritasium)

Quadratic speedup, Database search

• Grover's Algorithm (Qiskit)
• Search Problems (Quantum Sense)

Hybrid quantum-classical computing

• VQA Basics (Qiskit)
• Hybrid Computing (Quantum Sense)

Quantum data encoding, Quantum neural networks

• QML Basics (Qiskit)
• Quantum Neural Networks (Quantum Sense)

Quantum error correction, Decoherence

• Error Correction (Qiskit)
• NISQ Era (Quantum Sense)

Finance, Chemistry, AI, Optimization

• Future Applications (Qiskit)
• Quantum in Finance (Quantum Sense)