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Re:IBM completes successful field trials on Fully Homomorphi... by dlubarov on Saturday August 01, 2020 @06:18AM (#24019289)
I don't think there's much that can be done, except trying to identify any circuitry shared among branches and moving it out. Like if we have "if (cond) { hash(x) } else { hash(y) }", we can move the hash circuit outside of the conditional.

There are some circuit compilers that try to do optimizations like that automatically, like xJsnark, though it's not meant for FHE.

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