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Geometry of color perception. Part 2: perceived colors from real quantum states and Hering's rebit.
The Journal of Mathematical Neuroscience ( IF 2.3 ) Pub Date : 2020-09-09 , DOI: 10.1186/s13408-020-00092-x
M Berthier 1
Affiliation  

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 $\mathcal{P}$ of perceived colors. We show that $\mathcal{P}$ 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.

中文翻译:

颜色感知的几何形状。第2部分:从真实的量子态和Hering的重击感知的颜色。

受到HL Resnikoff的先驱作品的启发(本两部分的第一部分对此进行了详细介绍),我们对感知颜色的空间$ \ mathcal {P} $进行了量子描述。我们证明$ \ mathcal {P} $是一个位的作用空间,即真实的量子量子位,其状态空间与Klein双曲圆盘等距。可以将感知到的颜色的这种色状态空间表示为实数为2的Bloch圆盘,该圆盘与颜色对调机制所给定的Hering圆盘重合。根据冯·诺依曼熵来定义感知的颜色,色相和饱和度的属性。
更新日期:2020-09-10
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