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arXiv 1601.01259math.OAmath.COmath.FAmath.RAquant-ph
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算子系统的量子Ramsey定理

A "quantum" Ramsey theorem for operator systems

Nik Weaver

摘要:

设V是M_n(C)中包含单位矩阵的线性子空间,在Hermite伴随的构造下是稳定的.证明了如果n足够大,则存在秩为k的正交投影P使得dim(PVP)= 1或k^2。

英文摘要:

Let V be a linear subspace of M_n(C) which contains the identity matrix and is stable under the formation of Hermitian adjoints. We prove that if n is sufficiently large then there exists a rank k orthogonal projection P such that dim(PVP) = 1 or k^2.

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。

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