Control of finite-dimensional quantum systems: Application to a spin-½12 particle coupled with a finite quantum harmonic oscillator
dc.contributor.author | Rangan, C. | en_US |
dc.contributor.author | Bloch, A. M. | en_US |
dc.date.accessioned | 2011-11-15T16:07:54Z | |
dc.date.available | 2011-11-15T16:07:54Z | |
dc.date.issued | 2005-03 | en_US |
dc.identifier.citation | Rangan, 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.uri | https://hdl.handle.net/2027.42/87750 | |
dc.description.abstract | In 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.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Control of finite-dimensional quantum systems: Application to a spin-½12 particle coupled with a finite quantum harmonic oscillator | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, The University of Michigan, Ann Arbor, Michigan 48109-1109 | en_US |
dc.contributor.affiliationother | Department of Physics, University of Windsor, Ontario, Canada N9B 3P4 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/87750/2/032106_1.pdf | |
dc.identifier.doi | 10.1063/1.1852701 | en_US |
dc.identifier.source | Journal of Mathematical Physics | en_US |
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