Santa Fe Institute

SFI Working Paper Abstract

Title: Measures of Quantum Computing Speedup
Author(s): Anagyros Papageorgiou, Joseph F. Traub
Files: [pdf]
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.
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