Applications of Fisher Information in Sciences II

Dear Colleagues,

This Special Issue aims to present a collection of articles addressing recent research that delves into various aspects of Fisher information and its applications. Since we launched the first edition of this Special Issue in  2016 (https://www.mdpi.com/journal/entropy/special_issues/fisher_information_in_sciences),  this information measure has attracted increasing interest, and ongoing insights into its applications have been accumulated in various fields.

It is well recognized that Ronald A. Fisher originally presented this information in his statistical estimation theory a century ago (Philos. Trans. Roy. Soc., London, Sec. A, 222 (1922) 309-368), and that it has offered an indispensable tool with which to analyze statistical systems. To date, it has also received extensive attention from researchers working in fields beyond statistics. Statistical physics, thermodynamics, and quantum science are, indeed, intimately associated with this measure. In addition, astronomy and biological sciences reap most of the benefits of this tool for big data analysis. The applications of Fisher information are in fact vast, and have played expanding roles in the advancement of each discipline. For example, precise temperature measurement and its development are becoming crucial tasks in modern quantum technologies and the advancement of thermodynamics in the quantum region.

In this renewed Special Issue, we would like to compile articles addressing the fundamental aspects of Fisher information and its applications in various fields. We welcome submissions that shed new light on the scope of this information’s in-depth features and unreported useful applications. The intended topics are listed in the keywords below, but the contributors may address them in a broader sense.

Dr. Takuya Yamano
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• fisher information
• relative fisher information (Hyvärinen divergence)
• fisher information matrix
• quantum metrology
• quantum Fisher information
• skew information
• statistical estimation theory
• de Bruijn’s identity
• Cramer–Rao bound
• Jeffreys prior
• quantum multiparameter estimation
• curvature of the statistical model
• quantum measurement
• quantum thermometry
• quantum thermodynamics
• gradient flow
• logarithmic Sobolev inequality
• phase space gradient
• Jensen–Fisher divergence
• information geometry
• Fisher–Rao metric
• complexity
• data analysis
• gravitational wave
• cosmological information