We propose a mathematical description of human color perception that relies on a hyperbolic structure of the space \({\mathcal {P}}\) of perceived colors. We show that hyperbolicity allows us to reconcile both trichromaticity, from a Riemannian point of view, and color opponency, from a quantum viewpoint. In particular, we will underline how the opponent behavior can be represented by a rebit, a real analog of a qubit, whose state space is endowed with the Hilbert metric.

中文翻译：

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从双曲面的黎曼三色性到量子色对数

我们提出了一种人类色彩感知的数学描述，该描述依赖于感知色彩空间\ {{\ mathcal {P}} \}的双曲结构。我们表明，双曲线性使我们能够调和从黎曼主义观点出发的三色性和从量子观点出发对颜色的响应性。特别是，我们将着重强调对手的行为如何用重新组合来表示，该组合是qubit的真实模拟，其状态空间具有Hilbert度量。