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Re: Anyone seen the 'quantum cryptanalysis' thread on sci.crypt?
An important question that arises out of this -- do there exist one way
trapdoor functions that are not in BQP, the class of problems solved
in polynomial time by a quantum computer. In other words, we need
a function where the forward direction and trapdoor inverse are in P,
but the normal inverse is harder than factorization and discrete
logarithm, which are in BQP.
If so, then public key cryptography can persist into the era of
the quantym computer; such P/non-BQP trapdoor inverses would be
the next genration of public key.