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Control Theoretical Expression of Quantum Systems And Lower Bound of Finite Horizon Quantum Algorithms

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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/ACC.2007.4282358DOIArticle
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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