Finding Matches between Two Databases on a Quantum Computer

Mark Heiligman

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arXiv · quant-ph/0006136

Finding Matches between Two Databases on a Quantum Computer

Mark Heiligman

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Abstract

Given two unsorted lists each of length N that have a single common entry, a quantum computer can find that matching element with a work factor of $O(N^{3/4}\log N)$ (measured in quantum memory accesses and accesses to each list). The amount of quantum memory required is $O(N^{1/2})$. The quantum algorithm that accomplishes this consists of an inner Grover search combined with a partial sort all sitting inside of an outer Grover search.

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Mark Heiligman. 2000-06-30. Finding Matches between Two Databases on a Quantum Computer. https://arxiv.org/abs/quant-ph/0006136

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