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Trapped Ion Quantum Computing
Optimal control of the signal to noise ratio per unit time for a spin 1/2 particle
arXiv
Authors: M. Lapert, E. Assémat, S. J. Glaser, D. Sugny
Year
2014
Paper ID
48084
Status
Preprint
Abstract Read
~2 min
Abstract Words
95
Citations
N/A
Abstract
We investigate the maximum signal to noise ratio per unit time that can be achieved for a spin 1/2 particle subjected to a periodic pulse sequence. Optimal control techniques are applied to design the control field and the position of the steady state, leading to the best signal to noise performance. A complete geometric description of the optimal control problem is given in the unbounded case. We show the optimality of the well-known Ernst angle solution, which is widely used in spectroscopic and medical imaging applications, over a large control space allowing use of shaped pulses.
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- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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- We investigate the maximum signal to noise ratio per unit time that can be achieved for a spin 1/2 particle subjected to a periodic pulse sequence.
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