Graph Collision

نویسندگان

  • Andris Ambainis
  • Kaspars Balodis
  • Janis Iraids
  • Raitis Ozols
  • Juris Smotrovs
چکیده

We present three new quantum algorithms in the quantum query model for graph-collision problem: – an algorithm based on tree decomposition that uses O (√ nt 1/6 ) queries where t is the treewidth of the graph; – an algorithm constructed on a span program that improves a result by Gavinsky and Ito. The algorithm uses O( √ n + √ α∗∗) queries, where α∗∗(G) is a graph parameter defined by α(G) := min V C – vertex cover of G max I⊆V C I – independent set ∑

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تاریخ انتشار 2013