标题： 一个非交换的零点定理用于完美两答案量子非局部博弈 显示英文标题

标题： A Noncommutative Nullstellensatz for Perfect Two-Answer Quantum Nonlocal Games

摘要： 本文介绍了一个非交换的Nullstellensatz版本，这是受到对量子非局部游戏研究的启发。 已经证明，具有完美量子策略的两答案非局部游戏也具有完美的经典策略。 我们将这一结果推广到无限维情况，表明具有完美交换算子策略的两答案游戏也具有完美的经典策略。 这个结果产生了一个非交换Nullstellensatz的特例。 显示英文摘要

摘要： This paper introduces a noncommutative version of the Nullstellensatz, motivated by the study of quantum nonlocal games. It has been proved that a two-answer nonlocal game with a perfect quantum strategy also admits a perfect classical strategy. We generalize this result to the infinite-dimensional case, showing that a two-answer game with a perfect commuting operator strategy also admits a perfect classical strategy. This result induces a special case of noncommutative Nullstellensatz.