QUANTUM RESOURCE ESTIMATES FOR COMPUTING ELLIPTIC CURVE DISCRETE LOGARITHMS
展开▼
机译:计算椭圆曲线离散对数的量子资源估计
展开▼
页面导航
摘要
著录项
相似文献
摘要
In this application, example methods for performing quantum Montgomery arithmetic are disclosed. Additionally, circuit implementations are disclosed for reversible modular arithmetic, including modular addition, multiplication and inversion, as well as reversible elliptic curve point addition. This application also shows that elliptic curve discrete logarithms on an elliptic curve defined over an n-bit prime field can be computed on a quantum computer with at most 9n+2 ┌log2(n)┐+10 qubits using a quantum circuit of at most 512n3 log2(n)+3572n3 Toffoli gates.
展开▼