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:

URL	URL Type	Description
http://dx.doi.org/10.1109/ACC.2007.4282358	DOI	Article

Additional Information:

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

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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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