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OverviewThis book presents various theories and algorithms to create a quantum computer. The concept of the classical and quantum computers, and the concept of circuits and gates are reviewed. The example of the Deutsch and the Deutsch-Josca algorithm is discussed to illustrate some key features of quantum computing. The Grover algorithm, considered to be of major milestone of the subject, is discussed in detail to exemplify the techniques used in computer algorithms. The role of quantum superposition (also called quantum parallelism) and of quantum entanglement is discussed in order to understand the key advantages of a quantum over a classical computer. Full Product DetailsAuthor: Belal Ehsan Baaquie , Leong-Chuan KwekPublisher: Springer Verlag, Singapore Imprint: Springer Verlag, Singapore Edition: 1st ed. 2023 Weight: 0.641kg ISBN: 9789811975165ISBN 10: 9811975167 Pages: 297 Publication Date: 04 January 2023 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1 Introduction 2 Classical Computer 2.1 Binary Representation 3 Quantum Computer 3.1 Qubit 4 Classical Gates and Circuits 5 Quantum Gates and Circuits 5.1 Hilbert space 5.2 Measurement 6 Deutsch Algorithm 7 Grover Algorithm 7.1 Grover algorithm: two-qubit 7.2 Grover algorithm: n-qubit 7.3 Grover diffusion and rotation gate G 7.4 Single Recursion: Two qubit 8 Deutsch-Josza Algorithm 9 Simon’s Algorithm 9.1 Quantum Algorithm 9.2 An Illustrative Example 10 Quantum Fourier Transform (QFT) 51 10.1 Quantum circuit of QFT 11 Shor 11.1 Introduction 11.2 Understanding the classical algorithm 11.3 Quantum algorithm 12 Option Pricing 12.1 Quantum Algorithm for Option Pricing 12.2 Quadratic Improvement 12.3 Estimation of Phase 12.4 Call Option 13 Solving Linear Equations 13.1 Introduction 13.2 Harrow-Hassidim-Lloyd Algorithm 13.3 Specific Example 13.4 Other applications 14 Quantum-Classical Hybrid Algorithms 14.1 Why bother? 14.2 Overlap of Wavefunctions 14.3 Variational Quantum Eigensolvers 15 Quantum Error Correction 15.1 Introduction 15.2 Simple quantum errors 15.3 Kraus Operators 15.4 Nine-qubit Code 15.5 General properties of quantum error-correcting codes 15.6 Classical Linear Codes 15.7 CSS Codes 16 Efficiency of a Quantum Computer 16.1 So where does quantum computation take place? 16.2 Conclusions 16.3 AcknowledgementsReviewsAuthor InformationProf. Belal Ehsan Baaquie holds a B.S. in Physics from Caltech and a Ph.D. in Theoretical Physics from Cornell University, USA. His main research interest is in the study and application of the mathematical methods of quantum field theory. He has applied the mathematical formalism of field theory to finance and been a major contributor to the emerging field of quantum finance. His current focus is on developing the formalism of quantum finance and applying it to option pricing, corporate coupon bonds, and the theory of interest rates, as well as the study of equity, foreign exchange, and commodities; he has developed forecasting models for commodity prices. He is also applying methodologies from statistical mechanics and quantum field theory to the study of microeconomics and macroeconomics. Leong-Chuan Kwek is a principal investigator at the Center for Quantum Technologies, NUS, the Co-Director of the Quantum Science and Engineering Center at NTU and a faculty of the National Institute of Education, Singapore. He is the Immediate Past President of the Institute of Physics, Singapore and a Council Member of the Association of Asia Pacific Physical Socieites. He is also an elected Fellow of the American Associaiton for the Advancement of Science (AAAS) and the Institute of Physics, UK (IOP). Tab Content 6Author Website:Countries AvailableAll regions |
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