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Time–optimal Hamiltonian simulation and gate synthesis using homogeneous local unitaries

Masanes, Ll. and Vidal, G. and Latorre, J. I. (2002) Time–optimal Hamiltonian simulation and gate synthesis using homogeneous local unitaries. Quantum Information and Computation, 2 (4). pp. 285-296. ISSN 1533-7146. http://resolver.caltech.edu/CaltechAUTHORS:20111031-135713175

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Abstract

Motivated by experimental limitations commonly met in the design of solid state quantum computers, we study the problems of non–local Hamiltonian simulation and non–local gate synthesis when only homogeneous local unitaries are performed in order to tailor the available interaction. Homogeneous (i.e. identical for all subsystems) local manipulation implies a more refined classification of interaction Hamiltonians than the inhomogeneous case, as well as the loss of universality in Hamiltonian simulation. For the case of symmetric two–qubit interactions, we provide time–optimal protocols for both Hamiltonian simulation and gate synthesis.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://www.rintonpress.com/xqic1/qic-2-4/285-296.pdfPublisherUNSPECIFIED
http://arxiv.org/abs/quant-ph/0202042arXivUNSPECIFIED
Additional Information:© 2002 Rinton Press. Received March 12, 2002. Revised May 24, 2002. We thank E. Jané and A. Acín for their useful comments. We thank financial support from the following projects: AEN99-0766, 1999SGR-00097, IST-1999-11053. G.V. acknowledges grant HPMF-CT-1999-00200 (Marie Curie fellowship) by the European Community. This work was supported in part by the National Science Foundation (of U.S.A.) under Grant No. EIA-0086038.
Funders:
Funding AgencyGrant Number
UNSPECIFIEDAEN99-0766
UNSPECIFIED1999SGR-00097
UNSPECIFIEDIST-1999-11053
European Community Marie Curie FellowshipHPMF-CT-1999-00200
NSFEIA-0086038
Record Number:CaltechAUTHORS:20111031-135713175
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20111031-135713175
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27527
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Nov 2011 21:10
Last Modified:26 Dec 2012 14:21

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