### 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.

Original language | English (US) |
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Number of pages | 1 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 61 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 2000 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*61*(6). https://doi.org/10.1103/PhysRevA.61.062309

**Entangling dipole-dipole interactions for quantum logic with neutral atoms.** / Brennen, Gavin K.; Deutsch, Ivan H.; Jessen, Poul S.

Research output: Contribution to journal › Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 61, no. 6. https://doi.org/10.1103/PhysRevA.61.062309

}

TY - JOUR

T1 - Entangling dipole-dipole interactions for quantum logic with neutral atoms

AU - Brennen, Gavin K.

AU - Deutsch, Ivan H.

AU - Jessen, Poul S

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84907324351&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907324351&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.61.062309

DO - 10.1103/PhysRevA.61.062309

M3 - Article

AN - SCOPUS:84907324351

VL - 61

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 6

ER -