Sparsely Connected Data Structure that Supports Fast Quantum Search (IMAGE)
Caption
Both intuition and previous work seem to indicate that quantum searches will slow in sparsely connected data structures, like the one illustrated by this graph, but a new analysis shows the search for the "correct" node, marked in red, will proceed at optimum speed. Mathematical description: a graph with 12 vertices constructed by joining two complete graphs of six vertices by a single edge.
Credit
Tom Wong
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