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As an additional remark, we briefly mention about the possibility of an error in the timing of the process. The protocol requires the extraction of the logical state after the precise time t=π/ (4J), which corresponds to the maximum of the state fidelity. This is obviously equivalent to switching off the mutual interspin interaction at time π/ (4J) and extracting the state at the N th spin in the chain. As we have already said, a realistic choice for J is in the range of 1 GHz (it can be larger) while the temporal window within which, typically, the state fidelity is larger than 0.9 (an arbitrary and rather conservative choice) is as large as JΔt 0.2. This leads to Δt being typically in the range of 0.1 ns, which can be perfectly resolved experimentally.
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As an additional remark, we briefly mention about the possibility of an error in the timing of the process. The protocol requires the extraction of the logical state after the precise time t=π/ (4J), which corresponds to the maximum of the state fidelity. This is obviously equivalent to switching off the mutual interspin interaction at time π/ (4J) and extracting the state at the N th spin in the chain. As we have already said, a realistic choice for J is in the range of 1 GHz (it can be larger) while the temporal window within which, typically, the state fidelity is larger than 0.9 (an arbitrary and rather conservative choice) is as large as JΔt 0.2. This leads to Δt being typically in the range of 0.1 ns, which can be perfectly resolved experimentally.
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