量子信息论与自由半代数几何：透过两副眼镜看一个仙境
Quantum Information Theory and Free Semialgebraic Geometry: One Wonderland Through Two Looking Glasses
AI总结：
本文通过正性、可分性、量子幻方、非局部博弈和张量网络等例子，展示量子信息论与自由半代数几何的共同对象及结合双视角的价值。
摘要：
我们阐明量子信息论与自由（即非交换）半代数几何如何经常从不同视角研究相似对象。我们在正性与可分性、量子幻方、非局部博弈中的量子关联以及张量网络中的正性等背景下给出示例，并展示结合两种视角的益处。本文是对探索这两个领域交叉点的邀请，且应能为任一领域的研究者所理解。
英文摘要：
We illustrate how quantum information theory and free (i.e. noncommutative) semialgebraic geometry often study similar objects from different perspectives. We give examples in the context of positivity and separability, quantum magic squares, quantum correlations in non-local games, and positivity in tensor networks, and we show the benefits of combining the two perspectives. This paper is an invitation to consider the intersection of the two fields, and should be accessible for researchers from either field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
