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arXiv · 2611.07318

Asymptotic advantage of quantum one-way and SMP communication for total functions

Dmytro Gavinsky
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Abstract

We exhibit a total Boolean function on n input bits whose bounded-error quantum simultaneous-message (and hence one-way) communication complexity is in O(\sqrt n), whereas its randomised one-way (and hence simultaneous-message) communication complexity is in Ω(n). The same function admits a classical simultaneous-message protocol of cost O(\sqrt n) when the players share O(\sqrt n) EPR pairs.

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Dmytro Gavinsky. 2026-11-05. Asymptotic advantage of quantum one-way and SMP communication for total functions. https://arxiv.org/abs/2611.07318

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