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arXiv 2302.035292023-02-07quant-ph

对“无信号面上量子集合的几何”的评论

Comment on "Geometry of the quantum set on no-signaling faces"

Mateus Araújo

备注：: 5 pages, 2 Mathematica notebooks
发表信息：: Phys. Rev. A 107, 036201 (2023)
DOI：: 10.1103/PhysRevA.107.036201

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AI总结：

本文指出文献[1]中关于Almost Quantum集无法重现量子集边界两点的声明有误，原因是相关SDP非严格可行导致数值求解器不可靠，并给出分析证明这两点可由Almost Quantum重现。

摘要：

在文献[1]中，作者声称Almost Quantum关联集无法重现量子关联集边界上的两个点。该声明是不正确的。根本问题在于相关的SDP不是严格可行的，这使得数值求解器给出不可靠的答案。我们给出了分析证明，证明这两个点确实可由Almost Quantum重现。

英文摘要：

In Ref. [1] the authors claim that the Almost Quantum set of correlations cannot reproduce two points on the boundary of the quantum set of correlations. This claim is incorrect. The underlying issue is that the associated SDP is not strictly feasible, which makes the numerical solvers give unreliable answers. We give analytical proofs that both points are indeed reproduced by Almost Quantum.

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