Logical Entropy for Quantum States

Boaz Tamir, Eliahu Cohen

Published 2014-12-01Version 1

The novel concept of quantum logical entropy is presented. We prove several basic properties of this entropy with regard to density matrices. The properties are similar to those of the familiar von Neumann entropy, but it turns out that some of the proofs are easier using logical entropy. We thereby motivate a different approach for the assignment of quantum entropy to density matrices.