A similar question has been previously asked & has an excellent answer discussing half, full & ripple carry adders. I am curious to find out how these adders would be constructed in the setting of photonic quantum computers (eg. with continuous variable qumodes instead of qubits).
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Are you asking for a practical addition algorithm, such as the ones that classical computers and humans use? Or is simply counting up acceptable? – Nic Jun 02 '20 at 16:38