Absolute value squared of the sum of complex numbers

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How can I continue the following term, in order to get a efficient way to compute it. $$|\sum_{l}z_{l}|^{2}=\sum_{l}z_{l}\overline{\sum_{l}z_{l}}=\sum_{l}|z_{l}|^{2}+\sum_{l \neq k}z_{l}\overline{z_{k}}$$ The second term is squared in terms of time of calculation.

Thanks