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Adversary lower bounds for the collision and the set equality problems

We prove tight Ω(n1/3) lower bounds on the quantum query complexity of the Collision and the Set Equality problems, provided that the size of the alphabet is large enough. We do this using the negative-weight adversary method. Thus, we reprove the result by Aaronson and Shi, as well as a more recent...

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Main Authors: Belovs, Aleksandrs, Rosmanis, Ansis
其他作者: School of Physical and Mathematical Sciences
格式: Article
語言:English
出版: 2020
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在線閱讀:https://hdl.handle.net/10356/137663
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機構: Nanyang Technological University
語言: English