AI 中文总结
介绍用于多项式优化的Julia包PCPOP，支持多种优化类型，具备精确算术计算及多种便利功能，尤其为部分可交换变量多项式计算实现专门框架，在量子信息问题计算上优势显著。
AI 中文摘要
我们展示了PCPOP，一个用于多项式优化的Julia包，支持非交换优化、迹多项式优化和状态多项式优化。它完全支持精确算术计算，并包含基于格罗比纳基方法的代数约简、通过韦德伯恩分解的自动对称化等便利功能。其特色是为部分可交换变量中的多项式计算实现了专门框架，对量子信息问题有显著计算优势。
英文摘要
Here we present PCPOP, a Julia package for polynomial optimization that supports non-commutative optimization, tracial polynomial optimization, trace polynomial optimization and state polynomial optimization. PCPOP fully supports exact arithmetic computations and incorporates convenient functionalities such as algebraic reductions based on Gröbner basis methods, automatized symmetrization via Wedderburn decompositions, and Jordan algebra reductions. As a distinguished feature, PCPOP implements a specialized framework for polynomial computations in partially commutative variables that provides significant computational advantages for problems appearing in quantum information.
CommentsImplementation of the Partially-commutative polynomial optimization. Package available at https://github.com/abh1mishra/PCPOP.jl. Updated cross-referencing
