On the quantum communication complexity of total functions

Dmytro Gavinsky

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arXiv · 2608.18784

On the quantum communication complexity of total functions

Dmytro Gavinsky

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Abstract

We present a total function with a polylogarithmic two-message quantum protocol, whereas every randomised protocol, even with arbitrarily many rounds, requires polynomial communication.

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Dmytro Gavinsky. 2026-08-19. On the quantum communication complexity of total functions. https://arxiv.org/abs/2608.18784

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