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Constant-round quantum advantage in communication complexity for total functions

arXiv
Authors: Atsuya Hasegawa, François Le Gall

Year

2026

Paper ID

76574

Status

Preprint

Abstract Read

~2 min

Abstract Words

38

Citations

N/A

Abstract

We show that there exists a total function for which there is a polynomial gap between the randomized and the constant-round quantum communication complexity. Previously, such a separation was known only for quantum protocols using polynomially many rounds.

Why This Paper Matters

  • This paper contributes to the Quantum Networks research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We show that there exists a total function for which there is a polynomial gap between the randomized and the constant-round quantum communication complexity.

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