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- W2897033100 abstract "We derive the explicit solution of the problem of time-optimal control by a common magnetic field for two independent spin-$frac{1}{2}$ particles. Our approach is based on the Pontryagin maximum principle and a symmetry reduction technique. We experimentally implement the optimal control using zero-field nuclear magnetic resonance. This reveals an average gate error of $1%$ and a 70--$80%$ decrease in the experiment duration as compared to existing methods. This analytical solution and experimental demonstration of time-optimal control in such a system provides a route to achieve time-optimal control in more general quantum systems." @default.
- W2897033100 created "2018-10-26" @default.
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- W2897033100 date "2018-12-07" @default.
- W2897033100 modified "2023-10-16" @default.
- W2897033100 title "Time-optimal control of independent spin-1/2 systems under simultaneous control" @default.
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- W2897033100 doi "https://doi.org/10.1103/physreva.98.062108" @default.
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