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City Honolulu / / Company NMR / QUANTUM SPIN SYSTEMS / / / Facility University of Hawaii / University of Michigan / Calvin College / / IndustryTerm trace inner product / linear chain / numerical integration algorithm / energy-optimal control / spin chains / inner product / closed-form solutions / n-spin systems / quantum information processing / symplectic integration algorithm / spin systems / iterative numerical algorithm / smooth inner product / numerical algorithm / extremal solutions / quantum mechanical systems / quantum computing / numerical solution / / Organization University of Michigan / Ann Arbor / Calvin College / Grand Rapids / University of Hawaii / Department of Mathematics / Department of Mathematics and Statistics / Department of Mechanical Engineering / / Person Roger Brockett / AMIT K. SANYAL / CHRISTOPHER MOSELEY / ANTHONY BLOCH / / ProvinceOrState Hawaii / Michigan / / Technology symplectic integration algorithm / iterative numerical algorithm / numerical algorithm / spectroscopy / simulation / numerical integration algorithm / / SocialTag 
c 2009 International Press COMMUNICATIONS IN INFORMATION AND SYSTEMS Vol. 9, No. 1, pp, 2009