Experimental study of Shor's factoring algorithm using the IBM Q Experience
نویسندگان
چکیده
منابع مشابه
Factoring Integers Using Elliptic Curves over Q
For the integer D = pq of the product of two distinct odd primes, we construct an elliptic curve E2rD : y 2 = x3 − 2rDx over Q, where r is a parameter dependent on the classes of p and q modulo 8, and show, under Birch and Swinnerton-Dyer conjecture, that the elliptic curve has rank one and vp(x([k]Q)) 6= vq(x([k]Q)) for odd k and a generator Q of the free part of E2rD(Q). Thus we can get p or ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2019
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.100.012305