Quantum Circuit Theory and Design

Erscheinungsjahr 2027
ISBN: 978-3-032-44171-3
Verlag: Springer

Buch, Englisch, Format (B × H): 155 mm x 235 mm

This book presents a comprehensive and unified treatment of quantum circuit theory and design, integrating abstract quantum computing theory with the practical constraints of real quantum processors. Quantum circuits are introduced not merely as a representational tool, but as the central language connecting quantum algorithms, compiler technology, and physical devices. The text develops this perspective systematically, guiding the reader from foundational principles to advanced circuit architectures and real-world execution workflows. Beginning with the mathematical and conceptual foundations of qubits, gates, and circuit representations, this book establishes a solid and accessible basis for understanding gate-based quantum computation. It then advances to the construction of structured circuits, including reversible arithmetic components and canonical quantum algorithms, emphasizing explicit circuit layouts, resource accounting, and correctness. Throughout, theoretical concepts are tightly integrated with practical implementations using a purpose-built Python mini-library, ensuring that abstract ideas are directly connected to executable circuits. A distinctive feature of this book is its strong focus on noise, metrics, and optimization. Rather than treating ideal circuits in isolation, it addresses the realities of NISQ-era hardware, introducing noise models, circuit performance metrics, and both elementary and advanced optimization techniques. These topics are presented as essential aspects of circuit design, not optional refinements, reflecting current research and industrial practice. This book further covers variational and hybrid quantum-classical circuits, modern execution workflows on real quantum processors, and the challenges of compilation, calibration, and hardware-aware optimization. It concludes with a forward-looking discussion of scalability, fault tolerance, and emerging directions in quantum circuit design. This book is intended for graduate students, researchers, and practitioners in quantum computing. Its emphasis on circuits as engineered objects makes it particularly well suited for readers seeking a deep, practical understanding of how quantum algorithms are actually built and deployed in contemporary quantum computing platforms.

Autoren/Hrsg.

Orts, Francisco

Fachgebiete

• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Bauelemente, Schaltkreise
• Naturwissenschaften Physik Quantenphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

1. Introduction.- 2. Qubits and quantum gates.- 3. Building basic quantum circuits.- 4. Arithmetic quantum circuits.- 5. Quantum algorithms as circuits.

Über Autor(innen)

Francisco Orts is a computer scientist whose research focuses on quantum computing, quantum machine learning, and high-performance computing.

Francisco began his career as a software developer before joining the University of Almería as a predoctoral researcher in 2017. There, he completed his Ph.D. in Computer Science, working on efficient quantum circuits and high-performance solutions for complex computational problems. After completing his Ph.D., Francisco joined Vilnius University as a senior researcher in the Blockchain and Quantum Technology Group. He also taught computer science, artificial intelligence, and quantum computing at the International University of La Rioja, as well as cybersecurity at the Open University of Catalonia (UOC).

He is currently a researcher at the University of Almería and a member of the Supercomputing–Algorithms Group, developing quantum algorithms, optimized circuits, and hybrid quantum–classical machine learning models.