Efficient quantum circuits for binary elliptic curve arithmetic: reducing $T$-gate complexity
نویسندگان
چکیده
منابع مشابه
Efficient quantum circuits for binary elliptic curve arithmetic: reducing T-gate complexity
Elliptic curves over finite fields F2n play a prominent role in modern cryptography. Published quantum algorithms dealing with such curves build on a short Weierstrass form in combination with affine or projective coordinates. In this paper we show that changing the curve representation allows a substantial reduction in the number of T -gates needed to implement the curve arithmetic. As a tool,...
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ژورنال
عنوان ژورنال: Quantum Information and Computation
سال: 2013
ISSN: 1533-7146,1533-7146
DOI: 10.26421/qic13.7-8-5