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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > ALGEBRAIC SPREADNESS:
Reports tagged with Algebraic Spreadness:
TR26-019 | 10th February 2026
Yang P. Liu, Shachar Lovett, Kunal Mittal

Improved Parallel Repetition for GHZ-Supported Games via Spreadness

We prove that for any 3-player game $\mathcal G$, whose query distribution has the same support as the GHZ game (i.e., all $x,y,z\in \{0,1\}$ satisfying $x+y+z=0\pmod{2}$), the value of the $n$-fold parallel repetition of $\mathcal G$ decays exponentially fast: \[ \text{val}(\mathcal G^{\otimes n}) \leq \exp(-n^c)\] for all sufficiently large $n$, ... more >>>




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