Element distinctness problem: Difference between revisions

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==Quantum complexity==
It is also known that [[quantum algorithm]]s can solve this problem faster, in <math>\Theta\left(n^{2/3}\right)</math> queries. The optimal algorithm is by [[Andris Ambainis]].<ref>{{citation | last1=Ambainis | first1=Andris | author1-link=Andris Ambainis | title=Quantum walk algorithm for element distinctness | doi = 10.1137/S0097539705447311 | journal = [[SIAM Journal on Computing]] | volume = 37 | issue = 1 | year = 2007 | pages=210–239 | arxiv=quant-ph/0311001 }}</ref> [[Yaoyun Shi]] first proved a tight lower bound when the size of the range is sufficiently large.<ref>
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