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Quantum Algorithms and Applications : A Scaffolding Approach (Vol 1) - Peter Lee

Quantum Algorithms and Applications

A Scaffolding Approach (Vol 1)

By: Peter Lee, Ran Cheng, Huiwen Ji

Hardcover | 14 March 2026

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Volume 1 (contains Parts I & II, b/w)

Unlock the Potential of Quantum Algorithms

This book presents a progressive scaffolding approach to quantum algorithms and applications, guiding readers from core primitives to practical workflows in simulation, optimization, quantum machine learning, and linear systems, with an emphasis on mastering durable concepts and principles.

Features

  • A systematic, student-friendly route through quantum algorithms.
  • Comprehensive coverage, from core primitives to real applications.
  • Up to date: QSVT, SQD, QML, classical shadows, differential-equation solvers, and the quest for quantum advantage.

Authors

  • Dr. Peter Y. Lee (Ph.D., Princeton University) - Expert in quantum nanostructures with extensive experience in teaching and academic program leadership.
  • Dr. Ran Cheng (Ph.D., University of Texas at Austin) - Specialist in condensed matter theory and an award-winning physicist.
  • Dr. Huiwen Ji (Ph.D., Princeton University) - Accomplished researcher with a solid background in quantum chemistry and numerous awards.
Industry Reviews

Zlatko Minev

Google Quantum AI; CIFAR; Formerly: IBM Quantum, Yale, and UC Berkeley

A carefully structured guide to the core ideas of quantum algorithms, connecting foundational primitives to real application domains and helping readers build lasting intuition for quantum computational design.

 

Omar Alnaseri (Jan)

Adjunct Professor at DHBW, Germany; Researcher in Quantum Communication Systems and Quantum ML/AI; SMIEEE

This is an excellent resource for a student or professional coming from a classical STEM background. It manages to be technically rigorous without being impenetrable. If you find standard texts like Nielsen & Chuang too dense for a first pass, this "Scaffolding Approach" provides the necessary rungs to climb that ladder of complexity.

 

Steven Frankel

Rosenblatt Professor of Mechanical Engineering, Technion - Israel Institute of Technology

The one-stop resource for everything quantum computing. Whether you are developing new algorithms or exploring practical applications, this book has it all. True to the clear, signature style of the author's earlier titles, this latest installment brings complex concepts into sharp focus through masterful presentation.

 

Naoki Yamamoto

Professor, Department of Applied Physics and Physico-Informatics, Keio University, Japan

The field of quantum algorithms is advancing at a very rapid pace, and it is not easy to learn enough to reach the current research frontier. However, with this textbook, readers can efficiently study a wide range of topics, from the fundamentals to state-of-the-art algorithms. I would recommend it as an excellent first introduction for anyone who wishes to pursue research in this field.

 

Jaewan Kim

National Distinguished Research Fellow, Korea Research Institute of Standards and Science (KRISS); Professor Emeritus, Yonsei University and Korea Institute for Advanced Study (KIAS)

Professor Peter Y. Lee and his coauthors, who have been building the Quantum Information Science series through a carefully scaffolded approach, have now published the long-awaited third volume, Quantum Algorithms and Applications, following Quantum Computing and Information (Vol. 1) and Mathematical Foundations of Quantum Computing (Vol. 2). I have used the first volume in teaching quantum information science to a broad range of undergraduate students and have seen an overwhelmingly positive response. This new volume is exceptionally well designed, enabling students to acquire a broad and up-to-date understanding of quantum algorithms and their applications in a clear, systematic, and accessible manner. I expect that many future quantum computer programmers will learn the foundations of using quantum computers from this book.

 

Fujio Yamamoto, Professor Emeritus, Information and Computer Sciences Department, Kanagawa Institute of Technology, Japan

Unlike many CS-oriented books, this book devotes substantial space to simulations in physics and chemistry. The Hamiltonian introduced earlier plays a central role here as well. In doing so, the book provides a concrete and efficient approach to simulating nature, staying true to the vision originally envisioned by Feynman.

In addition, readers can explore modern applications such as quantum optimization and quantum machine learning. Together with the other two volumes in the Scaffolding series, this book is likely to become a definitive reference in quantum computing for researchers, engineers, and students alike.

 

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