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Standard Algorithms in Quantum Computing and Their Applications: (Springerbriefs in Physics)

(Paperback)

Do Ngoc Diep, Ahmed Farouk, Koji Nagata, Tadao Nakamura,

Springer International Publishing (Publisher)

Published

2021

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Mathematics and Science Physics Quantum physics (quantum mechanics and quantum field theory)

By: Do Ngoc Diep, Ahmed Farouk, Koji Nagata, Tadao Nakamura | Publisher: Springer International Publishing | Released: 22 Jan 2021

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In this book, the authors present a method for secure quantum key distribution based on a special Deutsch-Jozsa algorithm using Greenberger-Horne-Zeilinger states. Quantum mechanics is successful in explaining and predicting many physical phenomena, and there is therefore good reason to believe in its correctness. Among the interesting applications of quantum principles is their marriage with information theory, which leads to the concept of quantum computing. Furthermore, the authors discuss how the Bernstein--Vazirani algorithm can be used for quantum communication with the inclusion of error correction and over a noisy environment. Finally, the authors discuss other potential algorithms for quantum communication and for solving mathematical problems such as the parity problem and roots of a polynomial.
About the Author:

Ahmed Farouk received the M.S. and Ph.D. degrees from Mansoura University, in 2009 and 2015, respectively. He is now a Postdoctoral Fellow in Canada at Wilfrid Laurier University. Furthermore, he is one of the top 20 technical co-founders of the Quantum Machine Learning Program of the Creative Destruction Lab at the University of Toronto. He is especially well known for seminal contributions to theories of quantum mechanics, communication, and cryptography. He has published in Nature Scientific Reports, Physical Review A, and other high-impact journals.

Koji Nagata graduated with a Ph.D. from The Graduate University of Advanced Sciences' PhD (School of Advanced Sciences) course in March 2003. His academic work has been broadly based on aspects of quantum theory.

Tadao Nakamura is currently a Professor Emeritus of Tohoku University and also a Professor (as a visiting status) of Keio University. In 1994, he was given the status of a Full Professor (as a visiting status) in the Electrical Engineering Department at Stanford University. In 2007, he was also induced as a Professorial Fellow at Imperial College London. His research interests focus on computer systems. In 2004, he received the IEEE Computer Society's Taylor L. Booth Award.

Do Ngoc Diep graduated from Lomonosov Moscow State University in 1975 and there received his Ph.D. degree in 1977. In 1978, he started work at the Institute of Mathematics, Vietnam Academy of Science and Technology. In 1995, he received D.Sc. degree (Habilitation). In 1996, he became aFull Professor. He was a Senior Researcher, Head of the Department of Geometry and Topology, and Department of Mathematical Analysis of the Institute of Mathematics, VAST. In 2017, he moved to Thang Long Institute of Mathematics and Applied Sciences, Thang Long University.