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Trapped Ion Quantum Computing
Measures of quantum computing speedup
arXiv
Authors: Anargyros Papageorgiou, Joseph F. Traub
Year
2013
Paper ID
33471
Status
Preprint
Abstract Read
~2 min
Abstract Words
74
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
- It adds a 2013 reference point for readers tracking recent quantum research.
- We introduce the concept of strong quantum speedup.
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