Factoring a 2048-bit number using Shor’s algorithm, when accounting for error correction, reportedly requires 400,000 qubits. However, it is well known that there ...

CAMBRIDGE, MA — The most recent email you sent was likely encrypted using a tried-and-true method that relies on the idea that even the fastest computer would be unable to efficiently break a gigantic ...

We estimate the number of physical qubits and execution time by decomposing an implementation of Shor’s algorithm for elliptic curve discrete logarithms into universal gate units at the logical level ...

For example, Shor’s factoring algorithm can be viewed as an algorithm that finds the order of an element in a black-box group. Some directions in which future progress might be made are listed below. ...

The team implemented the 'phase estimation algorithm' — a central quantum algorithm which achieves an exponential speedup over all classical algorithms. It lies at the heart of quantum computing and ...