Pairings (Elliptic Curves)

A pairwise function that goes from curve G1\mathbb{G}_1 and G2\mathbb{G}_2 to curve G12\mathbb{G}_{12}

Has similar properties to Discrete Logarithm Problem, in that it’s hard to go from an element in G12\mathbb{G}_{12} to two elements in G1\mathbb{G}_1 and G2\mathbb{G}_2, but this can be broken by [[Shor’s algorithm]], so is not post-quantum safe.