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arXiv · 1307.7488

Measures of quantum computing speedup

Anargyros Papageorgiou·Joseph F. Traub
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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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Anargyros Papageorgiou, Joseph F. Traub. 2013-07-29. Measures of quantum computing speedup. https://doi.org/10.1103/physreva.88.022316

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