Berthier M
Laboratoire MIA, La Rochelle Université, Avenue Albert Einstein, BP 33060, 17031, La Rochelle, France.
J Math Neurosci. 2020 Sep 9;10(1):14. doi: 10.1186/s13408-020-00092-x.
Inspired by the pioneer work of H.L. Resnikoff, which is described in full detail in the first part of this two-part paper, we give a quantum description of the space [Formula: see text] of perceived colors. We show that [Formula: see text] is the effect space of a rebit, a real quantum qubit, whose state space is isometric to Klein's hyperbolic disk. This chromatic state space of perceived colors can be represented as a Bloch disk of real dimension 2 that coincides with Hering's disk given by the color opponency mechanism. Attributes of perceived colors, hue and saturation, are defined in terms of Von Neumann entropy.
受H.L.雷斯尼科夫开创性工作的启发（该工作在这篇两部分论文的第一部分中有详细描述），我们对感知颜色的空间[公式：见正文]给出了一种量子描述。我们表明[公式：见正文]是一个实量子比特（rebit）的效应空间，其实态空间与克莱因双曲圆盘等距。这种感知颜色的色态空间可以表示为实维度为2的布洛赫圆盘，它与由颜色对立机制给出的赫林圆盘重合。感知颜色的属性，即色调和饱和度，是根据冯·诺依曼熵来定义的。
