Special Issue "Quantum Statistical Decision and Estimation Theory"
A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Statistical Physics".
Deadline for manuscript submissions: closed (21 June 2021) | Viewed by 3409
Special Issue Editor
Interests: quantum information theory (including relativistic aspects); dynamical systems and control theory; information geometry
Special Issue Information
Dear colleagues,
Acquiring information about a physical system always involves a decision or an estimation process. Either one must decide which hypothesis best describes the system, or one must estimate the values of parameters characterizing it. Therefore, the study of physical systems can greatly benefit from statistical decision theory, which rests on the application of mathematical statistics tools for optimizing a decision to take following a sample of data. However, down to the quantum level, random phenomena are not subject to the classical probability theory. The formalism designed to describe them accepts the existence of non-commuting random variables and contains the classical theory as a degenerate commutative scheme. In the corresponding interpretation, many problems of the theory of quantum-mechanical measurements become non-commutative analogues of problems of statistical decision theory.
With the advent of quantum information theory, the fields of statistical decision and quantum measurement become cross-fertilized. The aim of this Special Issue is to put forward up-to-date achievements and to provide surveys on topics at this border. The special issue is partly inspired by the project Quartet (Quantum readout techniques and technologies) funded by EU under the Future and Emerging Technologies programme.
Prof. Dr. Stefano Mancini
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.
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Keywords
- parametric statistical models
- hypothesis testing
- parameter estimation
- statistical sampling
- large deviations
- error exponents
- loss functions
- Bayesian inference and Bayesian decision
- entropy estimation
- Fisher information
- channel discrimination
- nonparametric statistical models
- density estimation
