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arXiv · 1706.07646

Exact Equivalence between Quantum Adiabatic Algorithm and Quantum Circuit Algorithm

Hongye Yu·Yuliang Huang·Biao Wu
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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.

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Hongye Yu, Yuliang Huang, Biao Wu. 2017-06-23. Exact Equivalence between Quantum Adiabatic Algorithm and Quantum Circuit Algorithm. https://doi.org/10.1088/0256-307x/35/11/110303

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