Towards Information Lasers

Abstract

Recently, the methods of quantum theory (QT), especially quantum information and probability, started to be widely applied outside of physics: in cognitive, social and political sciences, psychology, economics, finances, decision making, molecular biology and genetics. Such models can be called quantum-like, in contrast to real quantum physical cognitive and biological models. Quantum-like means that only the information and probability structures of QT are explored. This approach matches the information interpretation of QT well (e.g., Zeilinger and Brukner, Fuchs and Mermin, D'Ariano), as well as the informational viewpoint on physics in general (e.g., Wheeler's "it from bit" paradigm). In this paper, we propose a quantum-like model of an information laser by precessing the assumptions on the structure of state spaces of information processors, "information atoms" (i-atoms) and information fields. The basic assumption is the discrete structure of state spaces related to quantization of an information analog of energy. To analyze a possible structure of the state space of i-atoms leading to the possibility to create information lasers, we have to develop a purely information version of quantum thermodynamics. We did this by placing the main attention on the derivation of the conditions for the equilibrium of information exchange between i-atoms and a quantized information field.

Contextuality and Indistinguishability

“…Here we attempt a different direction, relating contextuality with indistinguishability of particles (whether our approach has any bearings on applications of the quantum formalism to social systems is an open question. For instance, Khrennikov used quantum information thermodynamics to use the theory of lasers in social systems [32]. Of course, physical lasers follow a Bose-Einstein statistics, so it would be interesting if indistinguishability could tell us something about social systems).…”

Concept of information laser: from quantum theory to behavioural dynamics

“…An important difference between incoherent light and laser light can be highlighted by higher order correlation functions. One introduces the first-order correlation function, g (1) , and the second-order correlation functions, g (2) , as follows:…”

“…One speaks of phase diffusion and its purest form for a laser corresponds to a Lorentzian lineshape, in this case the phase can be considered a Gaussian random variable. The second-order correlation function g (2) plays a very important role in the field of quantum optics that was first studied in the mid-1950s [35]. The quantum theory of light can predict non-classical values of g (2) that are completely impossible for conventional light waves.…”

“…The second-order correlation function g (2) plays a very important role in the field of quantum optics that was first studied in the mid-1950s [35]. The quantum theory of light can predict non-classical values of g (2) that are completely impossible for conventional light waves. The signature of the photon nature of light can have a three-fold classification [34], in which the light is described as bunched, coherent or anti-bunched.…”

“…It is currently applied outside of physics in cognitive-social sciences, economics and biology to model a e-mail: Andrei.Khrennikov@lnu.se context-sensitive systems: it constitutes the quantum-like paradigm (Khrennikov), which provides a consistent probabilistic picture of observations performed for systems exhibiting (statistically) quantum-like features. The information laser is based on the quantization of information describing stimulated generation of coherent social actions [2] characterized by indistinguishability, a central issue of the application of quantum theory to social science. Quantum indistinguishability was already an issue in the proposed Fractaquantum hypothesis [3], which applies to all indivisible scales in nature; regardless of their size, it addresses the incompatibility of quantum indistinguishability with macroscopic structures.…”