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Information Entropy of Complex Probability by Li, Chan; Xu, Hejun; Cao, Zhu is a scholarly article available to read on EtoBox.

What is Information Entropy of Complex Probability about?

Probability theory is fundamental for modeling uncertainty, with traditional probabilities being real and non-negative. Complex probability extends this concept by allowing complex-valued probabilities, opening new avenues for analysis in various fields. This paper explores the information-theoretic aspects of complex probability, focusing on its definition, properties, and applications. We extend Shannon entropy to complex probability and examine key properties, including maximum entropy, joint entropy, conditional entropy, equilibration, and cross entropy. These results offer a framework for understanding entropy in complex probability spaces and have potential applications in fields such as statistical mechanics and information theory.

Author

Li, Chan; Xu, Hejun; Cao, Zhu

Published

2025

Language

EN