International Association for Cryptologic Research

International Association
for Cryptologic Research

IACR News item: 13 October 2014

Zhengjun Cao, Zhenfu Cao, Lihua Liu
ePrint Report ePrint Report
An efficient quantum modular exponentiation method is indispensible for Shor\'s factoring algorithm. But we find that all descriptions presented by Shor, Nielsen and Chuang, Markov and Saeedi, et al., are flawed. We also remark that some experimental demonstrations of Shor\'s algorithm are misleading, because they violate the necessary condition that the selected number $q=2^s$, where $s$ is the number of qubits used in the first register, must satisfy $n^2 \\leq q < 2n^2$, where $n$ is the large number to be factored.

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