Generalization of Quantum Search Algorithm: A generalized version of Grover's search operator - Softcover

Sadhukhan, Debasis

Softcover

ISBN 10: 3659342661 ISBN 13: 9783659342660

Publisher: LAP LAMBERT Academic Publishing, 2013

Synopsis

Grover's quantum search algorithm is an important landmark discovery in the area of quantum computing that drives a quantum computer from a known initial state(source state) to an unknown final state(target state) by using selective phase inversions of these states. The algorithm is simply a successive iteration of the Grover's search operator, which is a product of selective inversion operators of source and target states. In its original form, Grover's operator performs the selective inversions only on a unique source state and a unique target state. In the generalized version, we make our search operator to perform selective inversions on more than one source and target states. First, we find that the case of selective inversions of two source and two target states can be easily analysed somewhat similar to the case of Grover's algorithm. But unlike Grover's operator, the selective inversions of three source and three target states is not so easy to study analytically and hence we perform numerical calculations on some specific cases. We find that these generalized search operators also give us a successful quantum search as expected.

About this title

About the Author

Studied M.Sc. in Physics from Indian Institute of Technology Bombay, Mumbai. Currently, the author is a research scholar at Harish-Chandra Research Institute, Allahabad, India. This book is based on the author's M.Sc. report which is honoured with the best M.Sc. report award IIT Bombay.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2013
• Language: English
• ISBN 10: 3659342661
• ISBN 13: 9783659342660
• Binding: Paperback
• Number of pages: 64