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Control of finite-dimensional quantum systems: Application to a spin-½12 particle coupled with a finite quantum harmonic oscillator
dc.contributor.authorRangan, C.en_US
dc.contributor.authorBloch, A. M.en_US
dc.date.accessioned2011-11-15T16:07:54Z
dc.date.available2011-11-15T16:07:54Z
dc.date.issued2005-03en_US
dc.identifier.citationRangan, C.; Bloch, A. M. (2005). "Control of finite-dimensional quantum systems: Application to a spin-½12 particle coupled with a finite quantum harmonic oscillator." Journal of Mathematical Physics 46(3): 032106-032106-9. <http://hdl.handle.net/2027.42/87750>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/87750
dc.description.abstractIn this paper, we consider the problem of the controllability of a finite-dimensional quantum system in both the Schrödinger and interaction pictures. Introducing a Quantum Transfer Graph, we elucidate the role of Lie algebra rank conditions and the complex nature of the control matrices. We analyze the example of a sequentially coupled NN-level system: a spin-½12 particle coupled to a finite quantum harmonic oscillator. This models an important physical paradigm of quantum computers—the trapped ion. We describe the control of the finite model obtained, under the right conditions, from the original infinite-dimensional system.en_US
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleControl of finite-dimensional quantum systems: Application to a spin-½12 particle coupled with a finite quantum harmonic oscillatoren_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, The University of Michigan, Ann Arbor, Michigan 48109-1109en_US
dc.contributor.affiliationotherDepartment of Physics, University of Windsor, Ontario, Canada N9B 3P4en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/87750/2/032106_1.pdf
dc.identifier.doi10.1063/1.1852701en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
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dc.owningcollnamePhysics, Department of


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