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This PR adresses that specifying bounds for the FOURIER coefficient does not really make sense.$\beta \in [-\pi / 2, \pi / 2]^p$ and $\gamma \in [0, \pi ]^p$ .$\gamma$ parameters is negative, we account for the QAOA symmetries, by flipping the sign of the respective gamma and beta parameter.
Instead, now, when applying bounds with the FOURIER strategy, hard limits for beta and gamma parameters are set after applying the sine and cosine transformations.
Resulting parameters are in
If a
Example:$v$ and $u$ parameters result in a gamma parameter of $\gamma_1=-5$ , and a beta parameter of $\beta_1=1$ applying the bound results in $\gamma_{1,b}=\pi$ and $\beta_{1, b} = -1$ , through flipping and applying bounds.
If the
Additionally, parameters are also normalised according to bounds and symmetries, when computing the annealing schedules from the parameters.