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You're reading from  Dancing with Qubits - Second Edition

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Published inMar 2024
PublisherPackt
ISBN-139781837636754
Edition2nd Edition
Concepts
Quantum Computing
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Robert S. Sutor
Robert S. Sutor
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Robert S. Sutor

Robert S. Sutor has been a technical leader and executive in the IT industry for over 40 years. More than two decades of that were spent in IBM Research in Yorktown Heights, New York USA. During his time there, he worked on and led efforts in symbolic mathematical computation, mathematical programming languages, optimization, AI, blockchain, and quantum computing. He is the author of Dancing with Qubits: How quantum computing works and how it can change the world and Dancing with Python: Learn Python software development from scratch and get started with quantum computing, also with Packt. He is the published co-author of several research papers and the book Axiom: The Scientific Computation System with the late Richard D. Jenks. Sutor was an IBM executive on the software side of the business in areas including Java web application servers, emerging industry standards, software on Linux, mobile, and open source. He was the Vice President of Corporate Development and, later, Chief Quantum Advocate, at Infleqtion, a quantum computing and quantum sensing company based in Boulder, Colorado USA. He is currently an Adjunct Professor in the Department of Computer Science and Engineering at the University at Buffalo, New York, USA. He is a theoretical mathematician by training, has a Ph.D. from Princeton University, and an undergraduate degree from Harvard College. He started coding when he was 15 and has used most of the programming languages that have come along.
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10.1 Quantum Fourier Transform

The Quantum Fourier Transform (QFT) is widely used in quantum computing. We need it in this chapter to estimate eigenvalues via the function order and period finding algorithm in section 10.5. We then use that in Shor’s factoring algorithm in section 10.7. If that weren’t enough, the Hadamard H is the 1-qubit QFT, and we’ve seen many examples of its use. algorithm$Quantum Fourier Transform Quantum Fourier Transform

Other applications of the QFT include quantum Monte Carlo, 77 and the Harrow-Hassidim-Loyd (HHL) algorithm for solving systems of linear equations under restrictive conditions. 105 63 algorithm$Monte Carlo Monte Carlo algorithm algorithm$Harrow-Hassidim-Loyd Harrow-Hassidim-Loyd algorithm algorithm$HHL HHL algorithm

Most treatments of the QFT start by comparing it to the classical Discrete Fourier Transform and then the Fast Fourier Transform. If you don’t know either of these, don’t worry...

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Dancing with Qubits - Second Edition
Published in: Mar 2024Publisher: PacktISBN-13: 9781837636754
© 2024 Packt Publishing Limited All Rights Reserved

Author (1)

author image
Robert S. Sutor

Robert S. Sutor has been a technical leader and executive in the IT industry for over 40 years. More than two decades of that were spent in IBM Research in Yorktown Heights, New York USA. During his time there, he worked on and led efforts in symbolic mathematical computation, mathematical programming languages, optimization, AI, blockchain, and quantum computing. He is the author of Dancing with Qubits: How quantum computing works and how it can change the world and Dancing with Python: Learn Python software development from scratch and get started with quantum computing, also with Packt. He is the published co-author of several research papers and the book Axiom: The Scientific Computation System with the late Richard D. Jenks. Sutor was an IBM executive on the software side of the business in areas including Java web application servers, emerging industry standards, software on Linux, mobile, and open source. He was the Vice President of Corporate Development and, later, Chief Quantum Advocate, at Infleqtion, a quantum computing and quantum sensing company based in Boulder, Colorado USA. He is currently an Adjunct Professor in the Department of Computer Science and Engineering at the University at Buffalo, New York, USA. He is a theoretical mathematician by training, has a Ph.D. from Princeton University, and an undergraduate degree from Harvard College. He started coding when he was 15 and has used most of the programming languages that have come along.
Read more about Robert S. Sutor

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