Implementing quantum gates on oriented optical isomers

Sola, Ignacio R.; Malinovsky, Vladimir S.; Santamaría, Jesus

Implementing quantum gates on oriented optical isomers

dc.contributor.author	Sola, Ignacio R.	en_US
dc.contributor.author	Malinovsky, Vladimir S.	en_US
dc.contributor.author	Santamaría, Jesus	en_US
dc.date.accessioned	2010-05-06T21:30:17Z
dc.date.available	2010-05-06T21:30:17Z
dc.date.issued	2004-06-15	en_US
dc.identifier.citation	Sola, Ignacio R.; Malinovsky, Vladimir S.; Santamaría, Jesus (2004). "Implementing quantum gates on oriented optical isomers." The Journal of Chemical Physics 120(23): 10955-10960. <http://hdl.handle.net/2027.42/70017>	en_US
dc.identifier.uri	https://hdl.handle.net/2027.42/70017
dc.identifier.uri	http://www.ncbi.nlm.nih.gov/sites/entrez?cmd=retrieve&db=pubmed&list_uids=15268125&dopt=citation	en_US
dc.description.abstract	Optical enantiomers are proposed to encode molecular two-qubit information processing. Using sequences of pairs of nonresonant optimally polarized pulses, different schemes to implement quantum gates, and to prepare entangled states, are described. We discuss the role of the entanglement phase and the robustness of the pulse sequences which depend on the area theorem. Finally, possible scenarios to generalize the schemes to n-qubit systems are suggested. © 2004 American Institute of Physics.	en_US
dc.format.extent	3102 bytes
dc.format.extent	111414 bytes
dc.format.mimetype	text/plain
dc.format.mimetype	application/octet-stream
dc.publisher	The American Institute of Physics	en_US
dc.rights	© The American Institute of Physics	en_US
dc.title	Implementing quantum gates on oriented optical isomers	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	Michigan Center for Theoretical Physics and FOCUS Center, Department of Physics, University of Michigan, Ann Arbor, Michigan 48109	en_US
dc.contributor.affiliationother	Department of Chemistry, Princeton University, Princeton, New Jersey 08544	en_US
dc.contributor.affiliationother	Departamento de Quimica Fisica I, Universidad Complutense, 28040 Madrid, Spain	en_US
dc.contributor.affiliationother	Departamento de Quimica Fisica I, Universidad Complutense, 28040 Madrid, Spain	en_US
dc.identifier.pmid	15268125	en_US
dc.description.bitstreamurl	http://deepblue.lib.umich.edu/bitstream/2027.42/70017/2/JCPSA6-120-23-10955-1.pdf
dc.identifier.doi	10.1063/1.1739403	en_US
dc.identifier.source	The Journal of Chemical Physics	en_US
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dc.identifier.citedreference	For fully overlapping resonant pulses (Δ=0) connecting qubit states ∣i⟩∣i⟩ and ∣f⟩∣f⟩ with the auxiliary state ∣E⟩∣E⟩ by the proper pulse polarizations with pulse area matching conditions: μEi(t)=μEj(t)=Ω0(t),μEi(t)=μEj(t)=Ω0(t), the Hamiltonian of the interaction among the coupled states in the RWA is Hi,f,E=−[Ω0(t)/2](0 0 10 0 11 1 0).The Schrödinger equation for this Hamiltonian has analytical solution. If the initial state is in ∣i⟩,∣i⟩, the final wave function will be ∣ψ(t)⟩=½(1+cos A)∣i⟩−½(1−cos A)∣f⟩+(i/)sin A∣E⟩,∣ψ(t)⟩=12(1+cos A)∣i⟩−12(1−cos A)∣f⟩+(i/2)sin A∣E⟩, where A=∫Ω(t)dtA=∫Ω(t)dt is the pulse area. Population inversion from ∣i⟩∣i⟩ to ∣f⟩∣f⟩ is possible using π pulses. However, it is not possible to create 50:50 superposition states of ∣i⟩∣i⟩ and ∣f⟩∣f⟩ and at the same time avoid population in ∣E⟩,∣E⟩, that is, every superposition or entangled state prepared by resonant fully overlapping pulses would be contaminated by some population in the excited electronic state. In fact, for half π pulses ∣ψ(t)⟩=(∣i⟩−∣f⟩)/+i∣E⟩/∣ψ(t)⟩=(∣i⟩−∣f⟩)/2+i∣E⟩/2 so that 50% of the population is actually in ∣E⟩.∣E⟩.	en_US
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dc.identifier.citedreference	V. S. Malinovsky and I. R. Sola (unpublished).	en_US
dc.owningcollname	Physics, Department of

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