Time in Weak Value and Discrete Time Quantum Walk: From Quantum Measurement to Quantum Dynamics - Softcover

Shikano, Yutaka

Softcover

ISBN 10: 3659129062 ISBN 13: 9783659129063

Publisher: LAP LAMBERT Academic Publishing, 2012

Synopsis

In quantum mechanics, there are many counter-intuitive phenomena comparing with classical mechanics. In this book, we consider the two methods to compare the classical and the quantum systems. One is to quantitatively characterize the counter-factual phenomena in quantum mechanics related to the classical logic. We show that the weak value, which was initiated and developed by Yakir Aharonov and his colleagues and is an experimental accessible quantity, can characterize them by a simple example. We propose that the weak value is interpreted as a fundamental quantity to reformulate the quantum theory to obtain that the weak value can be derived from the observable-independent probability space in the sense of the Kolmogorov probability theory. The other content is the discrete time quantum walk (DTQW), which is defined as a quantum-mechanical analogue of the random walk. We obtain the analytical expression for the limit distribution of the one-dimensional DTQW with a two-dimensional coin. Under the simple decoherence model, we show that the DTQW is linearly related to the classical random walk. We also obtain that the DTQW can be taken as the quantum dynamical simulator.

About this title

About the Author

Dr. Yutaka Shikano graduated Tokyo Institute of Technology, B.S. in 2007, M.S. in 2009, and Ph.D in 2011, and joined Institute for Molecular Science as the research associate professor in 2012 and is the visiting assistant professor at Chapman University. His main researches are quantum foundations and optical physics.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• Language: English
• ISBN 10: 3659129062
• ISBN 13: 9783659129063
• Binding: Paperback
• Number of pages: 120