2 code implementations • 5 Jun 2017 • Peter Clifford, Raphaël Clifford
The computational framework was proposed by Aaronson and Arkhipov in 2011 as an attainable demonstration of `quantum supremacy', that is a practical quantum computing experiment able to produce output at a speed beyond the reach of classical (that is non-quantum) computer hardware.
Data Structures and Algorithms Quantum Physics Computation
1 code implementation • 4 Aug 2015 • Raphaël Clifford, Allyx Fontaine, Ely Porat, Benjamin Sach, Tatiana Starikovskaya
Our main results are as follows: 1) Our first result is a deterministic $O(n k^2\log{k} / m+n \text{polylog} m)$ time offline algorithm for k-mismatch on a text of length n. This is a factor of k improvement over the fastest previous result of this form from SODA 2000 by Amihood Amir et al. 2) We then give a randomised and online algorithm which runs in the same time complexity but requires only $O(k^2\text{polylog} {m})$ space in total.
Data Structures and Algorithms