• Media type: E-Article
  • Title: Geometry of color perception. Part 2: perceived colors from real quantum states and Hering’s rebit
  • Contributor: Berthier, M.
  • imprint: Springer Science and Business Media LLC, 2020
  • Published in: The Journal of Mathematical Neuroscience
  • Language: English
  • DOI: 10.1186/s13408-020-00092-x
  • ISSN: 2190-8567
  • Keywords: Neuroscience (miscellaneous)
  • Origination:
  • Footnote:
  • Description: <jats:title>Abstract</jats:title><jats:p>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 <jats:inline-formula><jats:alternatives><jats:tex-math>$\mathcal{P}$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>P</mml:mi> </mml:math></jats:alternatives></jats:inline-formula> of perceived colors. We show that <jats:inline-formula><jats:alternatives><jats:tex-math>$\mathcal{P}$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>P</mml:mi> </mml:math></jats:alternatives></jats:inline-formula> 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.</jats:p>
  • Access State: Open Access