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Quantum computing with an inhomogeneously broadened ensemble of ions: Suppression of errors from detuning variations by specially adapted pulses and coherent population trapping

Roos, Ingela LU and Molmer, K (2004) In Physical Review A (Atomic, Molecular and Optical Physics) 69(2).
Abstract
The proposal for quantum computing with rare-earth-metal-ion qubits in inorganic crystals makes use of the inhomogeneous broadening of optical transitions in the ions to associate individual qubits with ions responding to radiation in selected frequency channels. We show that a class of Gaussian composite pulses and complex sech pulses provide accurate qubit pi rotations, which are at the same time channel selective on a 5 MHz frequency scale and tolerant to +/-0.5 MHz deviations of the transition frequency of ions within a single channel. Rotations in qubit space of arbitrary angles and phases are produced by sequences of pi pulses between the excited state of the ions and coherent superpositions of the qubit states.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A (Atomic, Molecular and Optical Physics)
volume
69
issue
2
publisher
American Physical Society
external identifiers
  • wos:000189386300049
  • scopus:1942539964
ISSN
1050-2947
DOI
10.1103/PhysRevA.69.022321
language
English
LU publication?
yes
id
cc0057ad-71e5-4482-8718-40989f88f8c6 (old id 286042)
date added to LUP
2016-04-01 12:09:07
date last changed
2022-04-21 03:09:36
@article{cc0057ad-71e5-4482-8718-40989f88f8c6,
  abstract     = {{The proposal for quantum computing with rare-earth-metal-ion qubits in inorganic crystals makes use of the inhomogeneous broadening of optical transitions in the ions to associate individual qubits with ions responding to radiation in selected frequency channels. We show that a class of Gaussian composite pulses and complex sech pulses provide accurate qubit pi rotations, which are at the same time channel selective on a 5 MHz frequency scale and tolerant to +/-0.5 MHz deviations of the transition frequency of ions within a single channel. Rotations in qubit space of arbitrary angles and phases are produced by sequences of pi pulses between the excited state of the ions and coherent superpositions of the qubit states.}},
  author       = {{Roos, Ingela and Molmer, K}},
  issn         = {{1050-2947}},
  language     = {{eng}},
  number       = {{2}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review A (Atomic, Molecular and Optical Physics)}},
  title        = {{Quantum computing with an inhomogeneously broadened ensemble of ions: Suppression of errors from detuning variations by specially adapted pulses and coherent population trapping}},
  url          = {{https://lup.lub.lu.se/search/files/2802892/2376580.pdf}},
  doi          = {{10.1103/PhysRevA.69.022321}},
  volume       = {{69}},
  year         = {{2004}},
}