论文标题

组和量子复杂性类别$ \ operatatorName {mip}^{co,s} $的近似跟踪

Approximate traces on groups and the quantum complexity class $\operatorname{MIP}^{co,s}$

论文作者

Goldbring, Isaac, Hart, Bradd

论文摘要

An open question in quantum complexity theory is whether or not the class $\operatorname{MIP}^{co}$, consisting of languages that can be efficiently verified using interacting provers sharing quantum resources according to the quantum commuting model, coincides with the class $coRE$ of languages with recursively enumerable complement.我们介绍了QC-Modulus的概念,该概念编码量子通勤相关性的近似值,并表明可计算的QC-Modulus的存在对上述问题的自然变体给出了负面答案。

An open question in quantum complexity theory is whether or not the class $\operatorname{MIP}^{co}$, consisting of languages that can be efficiently verified using interacting provers sharing quantum resources according to the quantum commuting model, coincides with the class $coRE$ of languages with recursively enumerable complement. We introduce the notion of a qc-modulus, which encodes approximations to quantum commuting correlations, and show that the existence of a computable qc-modulus gives a negative answer to a natural variant of the aforementioned question.

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