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Keyword: adiabatic quantum optimization ×Clear all

2 claims from 1 paper

1. Computer Science › Quantum Computing Algorithms and Architecture

   Faster than classical quantum algorithm for dense formulas of exact satisfiability and occupation problems

   Mandrà, Guerreschi and Aspuru‐Guzik · New Journal of Physics · 2016

   The authors present an exact quantum algorithm for Exact Satisfiability that restricts the search to a subspace and then searches it, and they report it is faster than known exact classical algorithms for dense formulas.

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   1. UncheckedThe quantum algorithm's worst-case query counts are O(√(2^(n−M′))) to find or certify a solution and O(2^(n−M′)) to count solutions.“The query complexities for the worst-case are respectively bounded by $O(\sqrt{2^{n-M^{\prime}}})$ and $O(2^{n-M^{\prime}})$, where $n$ is the number of variables and $M^{\prime}$ the number of linearly independent clauses.”
   2. UncheckedThe authors' quantum algorithm for the Hamiltonian cycle problem has a worst-case time bound of O(2^{n/4}) on 3-regular undirected graphs with n nodes.“Specifically, we show that the time complexity for the proposed quantum algorithm is bounded by $O(2^{n/4})$ for 3-regular undirected graphs, where $n$ is the number of nodes.”