Toward a conceptual foundation of Quantum Information Processing

Erwin Brüning, Francesco Petruccione

Erwin Brüning, Francesco Petruccione

Benjamin W. Schumacher, Michael D. Westmoreland

A new and exciting approach to the basics of quantum theory, this undergraduate textbook contains extensive discussions of conceptual puzzles and over 800 exercises and problems. Beginning with three elementary 'qubit' systems, the book develops the formalism of quantum theory, addresses questions of measurement and distinguishability, and explores the dynamics of quantum systems. In addition to the standard topics covered in other textbooks, it also covers communication and measurement, quantum entanglement, entropy and thermodynamics, and quantum information processing. This textbook gives a broad view of quantum theory by emphasizing dynamical evolution, and exploring conceptual and foundational issues. It focuses on contemporary topics, including measurement, time evolution, open systems, quantum entanglement, and the role of information.

Dimitris G. Angelakis, Matthias Christandl, ARTUR K. EKERT +2 more

J. I. Cirac

Jose Maria Alonso India

Quantum computing has emerged as a rapidly evolving paradigm withthe potential to transform information processing, communication systems,and computational security. This tutorial paper presents a structuredoverview of foundational concepts in quantum mechanics relevant tocomputation, including quantum states, photons, and core principles underlyingquantum information processing. It further reviews key quantumalgorithms and their implications for computational advantage over classicalapproaches. In addition, the paper examines the conceptual relationshipbetween quantum computation and information theory, highlightinghow quantum effects influence modern computational models. The discussionextends to emerging perspectives on quantum-enabled systemsand their potential impact on secure communications and cryptographicframeworks. Finally, the paper outlines current challenges, open questions,and future research directions in quantum computation and quantuminformation science, aiming to provide researchers and practitionerswith a consolidated conceptual foundation and forward-looking perspective.