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A perfect classical strategy with ad-level message exists if, only if χ(ΓG)≤d

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quant-ph 1

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2026 1

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Perfect Games in Dimension-Bounded Communication

quant-ph · 2026-08-05 · conditional · novelty 7.0

Every perfect binary-output communication game reduces to graph coloring and orthogonal representation problems, and perfect qubit strategies never beat a classical bit.

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  • Perfect Games in Dimension-Bounded Communication quant-ph · 2026-08-05 · conditional · none · ref 1

    Every perfect binary-output communication game reduces to graph coloring and orthogonal representation problems, and perfect qubit strategies never beat a classical bit.