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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > HOWARD BARNUM:
All reports by Author Howard Barnum:

TR02-002 | 3rd January 2002
Howard Barnum, Michael Saks

A lower bound on the quantum query complexity of read-once functions

We establish a lower bound of $\Omega{(\sqrt{n})}$ on the bounded-error quantum query complexity of read-once Boolean functions, providing evidence for the conjecture that $\Omega(\sqrt{D(f)})$ is a lower bound for all Boolean functions.Our technique extends a result of Ambainis, based on the idea that successful computation of a function requires ``decoherence'' ... more >>>




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