Year: 2013
Type: article
Abstract: We introduce the concept of strong quantum speedup. We prove that approximating the ground-state energy of an instance of the time-independent Schr\"odinger equation, with $d$ degrees of freedom and large $d$, 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.
Source: Physical Review A
Authors: Anargyros Papageorgiou, Joseph F. Traub
Institution: Columbia University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1998915837