Imaginarity measures induced by relative entropy

Abstract

In this paper, we introduce two measures for the resource theory of imaginarity. One is induced by $\alpha$--$z$--Rényi relative entropy and the other, defined for positive definite density matrices, is induced by Tsallis relative operator entropy. The relationships between different imaginarity measures and their properties are also discussed.

10 pages

References in corpus (12)

• Quantifying Coherence
• On quantum Renyi entropies: a new generalization and some properties
• Alternative framework for quantifying coherence
• Operational Resource Theory of Imaginarity
• alpha-z-relative Renyi entropies
• Quantifying the Imaginarity of Quantum Mechanics
• Measures of imaginarity and quantum state order
• Resource Theory of Imaginarity: New Distributed Scenarios
• Quantifying the imaginarity of quantum states via Tsallis relative entropy
• An introduction to entanglement measures
• Quantifying quantum coherence based on the generalized $\alpha -z-$relative R$\acute{e}$nyi entropy
• Strong Convexity of Sandwiched Entropies and Related Optimization Problems