Yanagisawa, Masahiro (2007) Control Theoretical Expression of Quantum Systems And Lower Bound of Finite Horizon Quantum Algorithms. In: American Control Conference, 2007. ACC '07. IEEE , New York, NY, pp. 2124-2128. ISBN 1-4244-0988-8. https://resolver.caltech.edu/CaltechAUTHORS:20100507-094302714
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Abstract
We provide a control theoretical method for a computational lower bound of quantum algorithms based on quantum walks of a finite time horizon. It is shown that given a quantum network, there exists a control theoretical expression of the quantum system and the transition probability of the quantum walk is related to a norm of the associated transfer function.
Item Type: | Book Section | ||||||
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Additional Information: | © 2007 IEEE. Issue Date: 9-13 July 2007; date of current version: 30 July 2007. | ||||||
Subject Keywords: | control theory; probability; quantum computing | ||||||
DOI: | 10.1109/ACC.2007.4282358 | ||||||
Record Number: | CaltechAUTHORS:20100507-094302714 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100507-094302714 | ||||||
Official Citation: | Yanagisawa, M.; , "Control Theoretical Expression of Quantum Systems And Lower Bound of Finite Horizon Quantum Algorithms," American Control Conference, 2007. ACC '07 , vol., no., pp.2124-2128, 9-13 July 2007 doi: 10.1109/ACC.2007.4282358 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4282358&isnumber=4282135 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 18183 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Jason Perez | ||||||
Deposited On: | 24 Jun 2010 18:49 | ||||||
Last Modified: | 08 Nov 2021 23:42 |
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