Quantum algorithms for graph connectivity and formula evaluation

We give a new upper bound on the quantum query complexity of deciding $st$-connectivity on certain classes of planar graphs, and show the bound is sometimes exponentially better than previous results. We then show Boolean formula evaluation reduces to deciding connectivity on just such a class of gr...

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Bibliographic Details
Main Authors: Stacey Jeffery, Shelby Kimmel
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2017-08-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2017-08-17-26/pdf/