We study a means of creating multiparticle entanglement of neutral atoms using pairwise controlled dipole-dipole interactions. For tightly trapped atoms the dipolar interaction energy can be much larger than the photon scattering rate and substantial coherent evolution of the two-atom state can be achieved before decoherence occurs. Excitation of the dipoles can be made conditional on the atomic states; allowing for deterministic generation of entanglement. We derive selection rules and a figure of merit for the dipole-dipole interaction matrix elements; for alkali atoms with hyperfine structure and trapped in localized center of mass states. Different protocols are presented for implementing two-qubit quantum logic gates such as the controlled-phase and swap gates. We analyze the error probability of our gate designs; finite due to decoherence from cooperative spontaneous emission and coherent couplings outside the logical basis. Outlines for extending our model to include the full molecular interactions potentials are discussed.
%0 Journal Article
%1 Brennen2000Entangling
%A Brennen, Gavin K.
%A Deutsch, Ivan H.
%A Jessen, Poul S.
%D 2000
%I American Physical Society
%J Physical Review A
%K entanglement, optical-lattice, quantum-information
%N 6
%P 062309+
%R 10.1103/physreva.61.062309
%T Entangling dipole-dipole interactions for quantum logic with neutral atoms
%U http://dx.doi.org/10.1103/physreva.61.062309
%V 61
%X We study a means of creating multiparticle entanglement of neutral atoms using pairwise controlled dipole-dipole interactions. For tightly trapped atoms the dipolar interaction energy can be much larger than the photon scattering rate and substantial coherent evolution of the two-atom state can be achieved before decoherence occurs. Excitation of the dipoles can be made conditional on the atomic states; allowing for deterministic generation of entanglement. We derive selection rules and a figure of merit for the dipole-dipole interaction matrix elements; for alkali atoms with hyperfine structure and trapped in localized center of mass states. Different protocols are presented for implementing two-qubit quantum logic gates such as the controlled-phase and swap gates. We analyze the error probability of our gate designs; finite due to decoherence from cooperative spontaneous emission and coherent couplings outside the logical basis. Outlines for extending our model to include the full molecular interactions potentials are discussed.
@article{Brennen2000Entangling,
abstract = {{We study a means of creating multiparticle entanglement of neutral atoms using pairwise controlled dipole-dipole interactions. For tightly trapped atoms the dipolar interaction energy can be much larger than the photon scattering rate and substantial coherent evolution of the two-atom state can be achieved before decoherence occurs. Excitation of the dipoles can be made conditional on the atomic states; allowing for deterministic generation of entanglement. We derive selection rules and a figure of merit for the dipole-dipole interaction matrix elements; for alkali atoms with hyperfine structure and trapped in localized center of mass states. Different protocols are presented for implementing two-qubit quantum logic gates such as the controlled-phase and swap gates. We analyze the error probability of our gate designs; finite due to decoherence from cooperative spontaneous emission and coherent couplings outside the logical basis. Outlines for extending our model to include the full molecular interactions potentials are discussed.}},
added-at = {2019-02-26T15:22:34.000+0100},
author = {Brennen, Gavin K. and Deutsch, Ivan H. and Jessen, Poul S.},
biburl = {https://www.bibsonomy.org/bibtex/2ea3131c59245f0c7154259a67be272a5/rspreeuw},
citeulike-article-id = {1222404},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreva.61.062309},
citeulike-linkout-1 = {http://link.aps.org/abstract/PRA/v61/i6/e062309},
citeulike-linkout-2 = {http://link.aps.org/pdf/PRA/v61/i6/e062309},
day = 16,
doi = {10.1103/physreva.61.062309},
interhash = {8a2574bb9f0494fb82b6e495b8e15580},
intrahash = {ea3131c59245f0c7154259a67be272a5},
journal = {Physical Review A},
keywords = {entanglement, optical-lattice, quantum-information},
month = may,
number = 6,
pages = {062309+},
posted-at = {2007-11-26 14:33:54},
priority = {2},
publisher = {American Physical Society},
timestamp = {2019-02-26T15:22:34.000+0100},
title = {{Entangling dipole-dipole interactions for quantum logic with neutral atoms}},
url = {http://dx.doi.org/10.1103/physreva.61.062309},
volume = 61,
year = 2000
}