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quant-ph2023★ 5 cited
Minimizing CNOT-count in quantum circuit of the extended Shor's algorithm for ECDLP
Xia Liu, Huan Yang, Li Yang
Since the elliptic curve discrete logarithms problem (ECDLP) was proposed, it has been widely used in cryptosystem because of its strong security. Although the proposal of the exte…
quant-ph2021★ 4 cited
CNOT-count optimized quantum circuit of the Shor's algorithm
Xia Liu, Huan Yang, Li Yang
We present improved quantum circuit for modular exponentiation of a constant, which is the most expensive operation in Shor's algorithm for integer factorization. While previous wo…