Quantum Process Algebra introduces readers to the algebraic properties and laws for quantum computing. The book provides readers with all aspects of algebraic theory for quantum computing, including the basis of semantics and axiomatization for quantum computing. With the assumption of a quantum system, readers will learn to solve the modelling of the three main components in a quantum system: unitary operator, quantum measurement, and quantum entanglement, with full support of quantum and classical computing in closed systems. Next, the book establishes the relationship between probabilistic quantum bisimilarity and classical probabilistic bisimilarity, including strong probabilistic bisimilarity and weak probabilistic bisimilarity, which makes an axiomatization of quantum processes possible. With this framework, quantum and classical computing mixed processes are unified with the same structured operational semantics. Finally, the book establishes a series of axiomatizations of quantum process algebras. These process algebras support nearly all main computation properties. Quantum and classical computing in closed quantum systems are unified with the same equational logic and the same structured operational semantics under the framework of ACP-like probabilistic process algebra. This unification means that the mathematics in the book can be used widely for verification of quantum and classical computing mixed systems, for example, most quantum communication protocols. ACP-like axiomatization also inherits the advantages of ACP, for example, and modularity means that it can be extended in an elegant way.
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1. Introduction 2. Backgrounds 3. APTC for Open Quantum Systems 4. APPTC for Closed Quantum Systems 5. APTCG for Open Quantum Systems 6. APPTCG for Closed Quantum Systems 7. APTC with Localities for Open Quantum Systems 8. APPTC with Localities for Closed Quantum Systems 9. APRTC for Open Quantum Systems 10. Algebra for Parallelism in Reversible Probabilistic True Concurrency 11. APRPTC for Closed Quantum Systems 12. APRTC with Guards 13. APRTCG for Open Quantum Systems 14. APRPTC with Guards 15. APRPTCG for Closed Quantum Systems 16. Applications of Algebras for Open Quantum Systems 17. Applications of Algebras for Close Quantum Systems
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Empowers readers with a clear understanding of the fundamental algebraic properties and laws essential for understanding the complexities of quantum computing
Provides readers with an introduction to the algebraic properties and laws relevant to quantum computing Shows how quantum and classical computing mixed processes are unified with the same structured operational semantics through the framework of quantum process configuration Establishes a series of axiomatizations of quantum process algebras
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Produktdetaljer

ISBN
9780443275135
Publisert
2025-04-01
Utgiver
Vendor
Morgan Kaufmann Publishers In
Vekt
450 gr
Høyde
276 mm
Bredde
216 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
424

Forfatter

Biographical note

Dr. Yong Wang is an Associate Professor of Computer Science and Technology, Faculty of Information, at Beijing University of Technology. He holds a PhD in Computer Science from Beihang University, China. He has more than 20 years of research and teaching experience in parallel and distributed computing. Dr. Wang’s research interests include Theory of Parallel Computing, including algebraic theory for true concurrency and its extensions and applications, algebraic theory for reversible computing, and quantum process algebra and its application in quantum communication protocol. Dr. Wang’s other research interests include SOA, grid computing, cloud computing, and big data. Dr. Wang has published more than 120 research papers in leading Computer Science journals, including Wiley-Blackwell International Journal of Communication Systems, Springer International Journal of Theoretical Physics, and IEEE Transactions on Network and Service Management.