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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.

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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.

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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.
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European Community Marie Curie FellowshipHPMF-CT-1999-00200
Issue or Number:4
Record Number:CaltechAUTHORS:20111031-135713175
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27527
Deposited By: Tony Diaz
Deposited On:01 Nov 2011 21:10
Last Modified:03 Oct 2019 03:24

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