Investigating information geometry in classical and quantum systems through information length

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38 Citations (Scopus)
60 Downloads (Pure)


Stochastic processes are ubiquitous in nature and laboratories, and play a major role across traditional disciplinary boundaries. These stochastic processes are described by different variables and are thus very system-specific. In order to elucidate underlying principles governing different phenomena, it is extremely valuable to utilise a mathematical tool that is not specific to a particular system. We provide such a tool based on information geometry by quantifying the similarity and disparity between Probability Density Functions (PDFs) by a metric such that the distance between two PDFs increases with the disparity between them. Specifically, we invoke the information length L(t) to quantify information change associated with a time-dependent PDF that depends on time. L(t) is uniquely defined as a function of time for a given initial condition. We demonstrate the utility of L(t) in understanding information change and attractor structure in classical and quantum systems.

Original languageEnglish
Article number574
Issue number8
Publication statusPublished - 3 Aug 2018
Externally publishedYes


  • Attractor
  • Chaos
  • Fisher information
  • Fokker-Planck equation
  • Information length
  • Langevin equation
  • Probability density function
  • Relaxation
  • Stochastic processes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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