The quantum nature of color perception: Uncertainty relations for chromatic opposition

• URL: http://arxiv.org/abs/2504.12303v1
• Date: Fri, 28 Mar 2025 23:02:56 GMT
• Title: The quantum nature of color perception: Uncertainty relations for chromatic opposition
• Authors: Michel Berthier, Edoardo Provenzi,
• Abstract summary: We provide an overview on the foundation and first results of a very recent quantum theory of color perception.<n>We show how Resnikoff's construction can be extended to a geometrically rich quantum framework.<n>The analysis of pure and mixed quantum chromatic states leads to a deep understanding of chromatic opposition.
• Score: 0.6138671548064355
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper we provide an overview on the foundation and first results of a very recent quantum theory of color perception, together with novel results about uncertainty relations for chromatic opposition. The major inspiration for this model is the 1974 remarkable work by H.L. Resnikoff, who had the idea to give up the analysis of the space of perceived colors through metameric classes of spectra in favor of the study of its algebraic properties. This strategy permitted to reveal the importance of hyperbolic geometry in colorimetry. Starting from these premises, we show how Resnikoff's construction can be extended to a geometrically rich quantum framework, where the concepts of achromatic color, hue and saturation can be rigorously defined. Moreover, the analysis of pure and mixed quantum chromatic states leads to a deep understanding of chromatic opposition and its role in the encoding of visual signals. We complete our paper by proving the existence of uncertainty relations for the degree of chromatic opposition, thus providing a theoretical confirmation of the quantum nature of color perception.

Related papers

• The relativity of color perception [0.4999814847776097]
  We present a rigorous mathematical model that permits to explain on a purely theoretical basis the relativistic color perception phenomena argued by Yilmaz. We base our theory on a quantum interpretation of color perception together with just one assumption, called trichromacy axiom. We show how this approach allows us to reconcile trichromacy with Hering's opponency and also to derive the relativistic properties of perceived colors without any additional mathematical or experimental assumption.
  arXiv  Detail & Related papers  (2025-04-18T14:46:29Z)
• A quantum information-based refoundation of color perception concepts [0.5461938536945721]
  We show how quantum information concepts provide tools that seem to be perfectly fit to model color perception attributes as brightness, lightness, colorfulness, chroma, saturation and hue.<n>An illustration of the efficiency of these novel definitions is provided by the rigorous derivation of the so-called lightness constancy phenomenon.
  arXiv  Detail & Related papers  (2025-03-29T01:05:44Z)
• Quantum measurement and color perception: theory and applications [0.6138671548064355]
  We make a systematic use of the quantum measurement theory to describe perceived colors.<n>Among our theoretical outcomes, we mention the possibility to confine the color cone to a finite-volume color solid.
  arXiv  Detail & Related papers  (2025-03-29T00:54:14Z)
• Chromatic Quantum Contextuality [0.0]
  A quantum hypergraph requires more colors than the number of outcomes per maximal observable (context)<n>It cannot represent a "completable" non-contextual set of coexisting n-ary outcomes per maximal observable.<n>We present an explicit example of a four-colorable quantum logic in dimension three.
  arXiv  Detail & Related papers  (2025-01-25T16:10:15Z)
• Geometric monotones of violations of quantum realism [89.99666725996975]
  Quantum realism states that projective measurements in quantum systems establish the reality of physical properties, even in the absence of a revealed outcome.<n>This framework provides a nuanced perspective on the distinction between classical and quantum notions of realism, emphasizing the contextuality and complementarity inherent to quantum systems.<n>We derive geometric monotones of quantum realism using trace distance, Hilbert-Schmidt distance, Schatten $p$-distances, Bures, and Hellinger distances.
  arXiv  Detail & Related papers  (2024-12-16T10:22:28Z)
• An algebraic characterisation of Kochen-Specker contextuality [0.0]
  Contextuality is a key distinguishing feature between classical and quantum physics. It expresses a fundamental obstruction to describing quantum theory using classical concepts. Different frameworks address different aspects of the phenomenon, yet their precise relationship often remains unclear.
  arXiv  Detail & Related papers  (2024-08-29T17:58:12Z)
• Relaxation of first-class constraints and the quantization of gauge theories: from "matter without matter" to the reappearance of time in quantum gravity [72.27323884094953]
  We make a conceptual overview of an approach to the initial-value problem in canonical gauge theories. We stress how the first-class phase-space constraints may be relaxed if we interpret them as fixing the values of new degrees of freedom.
  arXiv  Detail & Related papers  (2024-02-19T19:00:02Z)
• Quantum realism: axiomatization and quantification [77.34726150561087]
  We build an axiomatization for quantum realism -- a notion of realism compatible with quantum theory. We explicitly construct some classes of entropic quantifiers that are shown to satisfy almost all of the proposed axioms.
  arXiv  Detail & Related papers  (2021-10-10T18:08:42Z)
• Quantum particle across Grushin singularity [77.34726150561087]
  We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
  arXiv  Detail & Related papers  (2020-11-27T12:53:23Z)
• Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
  We review a number of issues in foundations of quantum theory and quantum cosmology. These issues can be considered as a part of the scientific legacy of H.D. Zeh.
  arXiv  Detail & Related papers  (2020-06-28T18:07:59Z)
• Spectra of Perfect State Transfer Hamiltonians on Fractal-Like Graphs [62.997667081978825]
  We study the spectral features, on fractal-like graphs, of Hamiltonians which exhibit the special property of perfect quantum state transfer. The essential goal is to develop the theoretical framework for understanding the interplay between perfect quantum state transfer, spectral properties, and the geometry of the underlying graph.
  arXiv  Detail & Related papers  (2020-03-25T02:46:14Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.