R\'enyi generalizations of quantum information measures

Understand

Quantum information measures such as the entropy and the mutual information find applications in physics, e.g., as correlation measures.

• Generalizing such measures based on the R\'enyi entropies is expected to enhance their scope in applications.
• We prescribe R\'enyi generalizations for any quantum information measure which consists of a linear combination of von Neumann entropies with coefficients chosen from the set {-1,0,1}.
• As examples, we describe R\'enyi generalizations of the conditional quantum mutual information, some quantum multipartite information measures, and the topological entanglement entropy.