aiqbench analysis
This research establishes a significant separation in communication complexity by demonstrating a total function where quantum protocols achieve polylogarithmic efficiency, while randomized classical counterparts require polynomial resources regardless of round count. The finding underscores the fundamental advantage of quantum mechanics over randomness for specific computational tasks within distributed settings.
On the quantum communication complexity of total functions
arXiv:2608.18784v1 Announce Type: cross 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.
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.
Computational Complexity (cs.CC); Quantum Physics (quant-ph)
arXiv:2608.18784 [cs.CC]
(or arXiv:2608.18784v1 [cs.CC] for this version)
https://doi.org/10.48550/arXiv.2608.18784 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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Full text under the publisher's open licence · 120 words
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