ZX-Calculus for Quantum Circuits: A Diagrammatic Approach to Quantum Circuit Analysis and Optimization

ZX-Calculus has emerged as one of the most powerful frameworks for representing and optimizing quantum circuits-bridging the gap between abstract theory and real-world implementation.This book offers a complete and coding-driven introduction to ZX-Calculus, guiding readers from the mathematical and physical foundations of quantum circuits to the advanced techniques of diagrammatic reasoning and circuit optimization.Beginning with qubits, gates, and entanglement, you will gradually go through the principles of ZX-Calculus, spider rules, and diagrammatic equivalences that form the foundation of this visual and rigorous language. Building upon this foundation, the book takes a hands-on approach to applying ZX-Calculus in modern quantum development environments.You will explore open-source tools such as PyZX, Quantomatic, and ZX-Optimizer; learn to translate quantum circuits into diagrams and back; and perform real-world circuit optimizations that reduce resource costs for NISQ devices.Adv