Constant-round quantum advantage in communication complexity for total functions

📅 2026-08-20
📈 Citations: 0
Influential: 0
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🤖 AI Summary
研究展示了一种总函数,其随机通信复杂度与常数轮量子通信复杂度之间存在多项式差距,此前仅知多项式轮次量子协议有此差异。
📝 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.
Problem

Research questions and friction points this paper is trying to address.

randomized communication complexity
constant-round quantum communication complexity
total function
Innovation

Methods, ideas, or system contributions that make the work stand out.

total function
communication complexity
quantum advantage
constant-round
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A
Atsuya Hasegawa
Graduate School of Mathematics, Nagoya University
François Le Gall
François Le Gall
Graduate School of Mathematics, Nagoya University
Theoretical computer science