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Title: Atom-ion quantum gate

Abstract

Ultracold collisions of ions with neutral atoms in traps are studied. Recently, ultracold atom-ion systems have become available in experimental setups, where their quantum states can be coherently controlled. This control allows for an implementation of quantum information processing, combining the advantages of charged and neutral particles. The state-dependent dynamics that is a necessary ingredient for quantum computation schemes is provided in this case by the short-range interaction forces that depend on the hyperfine states of both particles. In this work, a theoretical description of spin-state-dependent trapped atom-ion collisions is developed in the framework of a multichannel quantum-defect theory and an effective single-channel model is formulated that reduces the complexity of the problem. Based on this description, a two-qubit phase gate between a {sup 135}Ba{sup +} ion and a {sup 87}Rb atom is simulated using a realistic combination of the singlet and triplet scattering lengths. The gate process is optimized and accelerated with the help of optimal control techniques. The result is a gate fidelity of 1-10{sup -3} within 350 mus.

Authors:
 [1];  [2];  [1];  [3]
  1. University of Ulm, Albert-Einstein-Allee 11, D-89069 Ulm (Germany)
  2. Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Hoza 69, PL-00-681 Warsaw (Poland)
  3. Italy
Publication Date:
OSTI Identifier:
21388733
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.81.012708; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; INTERACTION RANGE; ION-ATOM COLLISIONS; IONS; NEUTRAL PARTICLES; OPTIMAL CONTROL; QUANTUM COMPUTERS; QUANTUM INFORMATION; QUANTUM MECHANICS; RUBIDIUM 87; SCATTERING LENGTHS; SIMULATION; SPIN; TRAPPING; TRAPS; TRIPLETS; ANGULAR MOMENTUM; ATOM COLLISIONS; BETA DECAY RADIOISOTOPES; BETA-MINUS DECAY RADIOISOTOPES; CHARGED PARTICLES; COLLISIONS; COMPUTERS; CONTROL; DIMENSIONS; DISTANCE; INFORMATION; INTERMEDIATE MASS NUCLEI; ION COLLISIONS; ISOTOPES; LENGTH; MECHANICS; MULTIPLETS; NUCLEI; ODD-EVEN NUCLEI; PARTICLE PROPERTIES; RADIOISOTOPES; RUBIDIUM ISOTOPES; YEARS LIVING RADIOISOTOPES

Citation Formats

Doerk, Hauke, Max-Planck-Institut fuer Plasmaphysik, Boltzmannstrasse 2, D-85748 Garching, Idziaszek, Zbigniew, Calarco, Tommaso, and ECT, I-38050 Villazzano. Atom-ion quantum gate. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.012708.
Doerk, Hauke, Max-Planck-Institut fuer Plasmaphysik, Boltzmannstrasse 2, D-85748 Garching, Idziaszek, Zbigniew, Calarco, Tommaso, & ECT, I-38050 Villazzano. Atom-ion quantum gate. United States. https://doi.org/10.1103/PHYSREVA.81.012708
Doerk, Hauke, Max-Planck-Institut fuer Plasmaphysik, Boltzmannstrasse 2, D-85748 Garching, Idziaszek, Zbigniew, Calarco, Tommaso, and ECT, I-38050 Villazzano. 2010. "Atom-ion quantum gate". United States. https://doi.org/10.1103/PHYSREVA.81.012708.
@article{osti_21388733,
title = {Atom-ion quantum gate},
author = {Doerk, Hauke and Max-Planck-Institut fuer Plasmaphysik, Boltzmannstrasse 2, D-85748 Garching and Idziaszek, Zbigniew and Calarco, Tommaso and ECT, I-38050 Villazzano},
abstractNote = {Ultracold collisions of ions with neutral atoms in traps are studied. Recently, ultracold atom-ion systems have become available in experimental setups, where their quantum states can be coherently controlled. This control allows for an implementation of quantum information processing, combining the advantages of charged and neutral particles. The state-dependent dynamics that is a necessary ingredient for quantum computation schemes is provided in this case by the short-range interaction forces that depend on the hyperfine states of both particles. In this work, a theoretical description of spin-state-dependent trapped atom-ion collisions is developed in the framework of a multichannel quantum-defect theory and an effective single-channel model is formulated that reduces the complexity of the problem. Based on this description, a two-qubit phase gate between a {sup 135}Ba{sup +} ion and a {sup 87}Rb atom is simulated using a realistic combination of the singlet and triplet scattering lengths. The gate process is optimized and accelerated with the help of optimal control techniques. The result is a gate fidelity of 1-10{sup -3} within 350 mus.},
doi = {10.1103/PHYSREVA.81.012708},
url = {https://www.osti.gov/biblio/21388733}, journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 81,
place = {United States},
year = {Fri Jan 15 00:00:00 EST 2010},
month = {Fri Jan 15 00:00:00 EST 2010}
}