Title:
Measures of Quantum Computing Speedup
Author(s):
Anagyros Papageorgiou, Joseph F. Traub
Paper #:
13-08-026
Date:
Aug. 1, 2013
Abstract:
We introduce the concept of strong quantum speedup. We prove that approximating the ground state energy of an instance of the time-independent Schrödinger equation, with d degrees of freedom, d large, enjoys strong exponential quantum speedup. It can be easily solved on a quantum computer. Some researchers in discrete complexity theory believe that quantum computation is not effective for eigenvalue problems. One of our goals in this paper is to explain this dissonance.