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Trapped Ion Quantum Computing
Exact Equivalence between Quantum Adiabatic Algorithm and Quantum Circuit Algorithm
arXiv
Authors: Hongye Yu, Yuliang Huang, Biao Wu
Year
2017
Paper ID
45029
Status
Preprint
Abstract Read
~2 min
Abstract Words
66
Citations
N/A
Abstract
We present a rigorous proof that quantum circuit algorithm can be transformed into quantum adiabatic algorithm with the exact same time complexity. This means that from a quantum circuit algorithm of L gates we can construct a quantum adiabatic algorithm with time complexity of O(L). Additionally, our construction shows that one may exponentially speed up some quantum adiabatic algorithms by properly choosing an evolution path.
Why This Paper Matters
- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
- It adds a 2017 reference point for readers tracking recent quantum research.
- We present a rigorous proof that quantum circuit algorithm can be transformed into quantum adiabatic algorithm with the exact same time complexity.
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