Quantum Partial Information Decomposition
Quantum Physics
2023-11-27 v2
Abstract
The Partial Information Decomposition (PID) takes one step beyond Shannon's theory in decomposing the information two variables possess about a third variable into distinct parts: unique, shared (or redundant) and synergistic information. Here we show how these concepts can be defined in a quantum setting. We apply a quantum PID to scrambling in quantum many-body systems, for which a quantum-theoretic description has been proven productive. Unique information in particular provides a finer description of scrambling than does the so-called tri-information.
Cite
@article{arxiv.2308.04499,
title = {Quantum Partial Information Decomposition},
author = {S. J. van Enk},
journal= {arXiv preprint arXiv:2308.04499},
year = {2023}
}