An operational definition of entropy for post-quantum theories - Leonardo Vaglini | TQC 2023
Channel: Squid: Schools for Quantum Information Development
Date: 23/08/2023

Leonardo Vaglini 
An operational definition of entropy for post-quantum theories

https://doi.org/10.48550/arXiv.2112.12689  https://doi.org/10.48550/arXiv.2302.01651
The information content of a classical source is defined in terms of the number of bits per symbol that are needed to store the output of the source. An analogous definition is given for a quantum source, where the qubit replaces the bit. Here we show how to extend this definition to operational probabilistic theories. We also discuss some of its properties, such as subadditivity, and to what extent it can be interpreted as a measure of state purity. We also show that none of the proposed generalisations of entropy satisfies a generalised noiseless coding theorem, by means of a toy-theory, consisting of a bilocal version of standard classical theory.

July 26, 2023
---------

TQC 2023 | 24-28 July 2023, University of Aveiro, Portugal
http://tqc-conference.org

18th Conference on the  Theory of Quantum Computation, Communication and Cryptography.

TQC is a leading annual international conference for students and researchers working in the theoretical aspects of quantum information science. The scientific objective is to bring together the theoretical quantum information science community to present and discuss the latest advances in the field.


Organisation:
Squids - Schools for Quantum Information Development  
Universidade de Aveiro: Departamento de Matemática, CIDMA & Fábrica


Sponsors:
Phasecraft, UK
Google Quantum AI, USA
QuSoft, The Netherlands
Quantum for Life Centre, Denmark
Technology Innovation Institute, UAE
ML4Q, Germany
Dulwich Quantum