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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Detalhes bibliográficos
Principais autores: Belovs, Aleksandrs, Rosmanis, Ansis
Outros Autores: School of Physical and Mathematical Sciences
Formato: Journal Article
Idioma:English
Publicado em: 2020
Assuntos:
Acesso em linha:https://hdl.handle.net/10356/137663