Quantum 101

Table of Contents Introduction What Is QAOA in Qiskit? Problem Formulation: MaxCut as a QUBO Constructing the Cost Hamiltonian The Mixer Hamiltonian Building the QAOA Circuit in Qiskit Choosing Optimizers Using QAOA...

Table of Contents Introduction What Are Parameterized Quantum Circuits? Why Parameterization Is Useful Mathematical Foundation PQCs in Hybrid Quantum-Classical Algorithms PQCs and the Variational Principle Basic Structure of a PQC Types of...

Table of Contents Introduction Why Quantum Chemistry Needs Quantum Computing Overview of VQE for Molecular Systems Mapping Molecules to Qubits Second Quantization and Fermionic Operators Jordan-Wigner and Bravyi-Kitaev Transforms Molecular Hamiltonian...

Table of Contents Introduction What Is QAOA? Why Use QAOA for Optimization? Problem Formulation: QUBO and Ising Models The QAOA Circuit Architecture Cost and Mixer Hamiltonians Parameterized QAOA Steps Classical Optimization of...

Table of Contents Introduction What Is VQE? The Variational Principle in Quantum Mechanics VQE Workflow Overview Hamiltonian Representation Parameterized Quantum Circuits (Ansatz) Measuring Expectation Values Classical Optimization Loop Cost Function and Objective Choosing the...

Table of Contents Introduction What Are Hybrid Quantum Algorithms? Why Use Hybrid Approaches? Classical-Quantum Workflow Architecture Variational Quantum Algorithms (VQAs) Variational Quantum Eigensolver (VQE) Quantum Approximate Optimization Algorithm (QAOA) Quantum Natural Gradient...

Table of Contents Introduction Why Debugging in Quantum Computing Is Different Common Quantum Programming Bugs Debugging with Simulators Visualizing Circuits for Error Discovery Circuit-by-Circuit Validation Using Statevector and Wavefunction Outputs Measurement-Driven Debugging Testing...

Table of Contents Introduction Why Version Control Matters in Quantum Computing Challenges Unique to Quantum Development Classical Version Control Tools for Quantum Code Using Git for Quantum Circuit Codebases Versioning...

Table of Contents Introduction Why Testing Quantum Software Matters Unique Challenges in Quantum Testing Unit Testing for Quantum Circuits Using Simulators for Expected Outputs Deterministic vs Probabilistic Testing Functional Testing of...

Table of Contents Introduction Understand the Hardware Constraints Choose the Right Quantum Framework Start with Small Circuits Simulate Before Running on Hardware Use Measurement Early and Often Minimize Circuit Depth and...

Table of Contents Introduction What Is a Quantum Software Pipeline? Motivation and Benefits Key Stages of a Quantum Pipeline Algorithm Design and Selection High-Level SDK and Language Choice Circuit Construction and...

Table of Contents Introduction What Is ProjectQ? Key Features of ProjectQ Installing and Setting Up ProjectQ ProjectQ Architecture and Compiler Engines Building Quantum Circuits with ProjectQ Running Simulations and Backends Defining Custom...