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Update team_solutions.md
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galeinston authored Feb 4, 2024
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Expand Up @@ -27,10 +27,15 @@ We first found Rb by taking the geometric mean of $R\_{max}$ and $R\_{min}$
<p align="center">
$R_b = a * \sqrt{3*\sqrt{10}.} = 12.32$
</p>
Lattice constant a is fixed to 4 micrometers due to Aquila physical constraints, given C6=862690(*2pi). $s$ represents represents final Delta (detuning) when Omega is 0.
Lattice constant a is fixed to 4 micrometers due to Aquila physical constraints, given C6=862690(*2pi). 's' represents represents final Delta (detuning) when Omega is 0.
<p align="center">
<img width="365" alt="Screenshot 2024-02-04 at 7 34 05 AM" src="https://github.com/thomasverrill/2024_QuEra/assets/69056626/95c028cf-619d-43b5-be18-9db3649b1d8d">
<img width="196" alt="Screenshot 2024-02-04 at 7 34 15 AM" src="https://github.com/thomasverrill/2024_QuEra/assets/69056626/5ca66ad7-27b0-46d8-818d-7aedb0555750">
</p>

### More Physical Constraints & Pulses
- Upper bound on Rabi Pulses on Aquila Hardware: 2.5 MHz (*2pi)
- Adiabatic computing: Detuning value ramps up to value calculated from equation (0.24668 MHz, which is possible)
- Rabi pulse needed (at least at beginning) for activating the Rydberg states. At end, Detuning needs to be able to overpower Rabi value.
- Piecewise functions is optimized

</p>

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