Abstract
The prospect of quantum computing makes it timely to consider the future of public-key crypto-systems. Both factorization and discrete logarithm correspond to a single quantum measurement, upon a superposition of candidate keys transformed into the fourier domain. Accordingly, both these problems can be solved by a quantum computer in a time essentially proportional to the bit-length of the modulus, a speed-up of exponential order.
Original language | English |
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Pages (from-to) | 182-193 |
Journal | Lecture Notes in Computer Science (LNCS) |
Volume | 2133 |
DOIs | |
Publication status | Published - 2001 |