Unfolding of relative g-entropies and monotone metrics

2022/07/17 by Di Nocera, Fabio
#FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2207.08118

Abstract

We discuss the geometric aspects of a recently described unfolding procedure and show the form of objects relevant in the field of Quantum Information Geometry in the unfolding space. In particular, we show the form of the quantum monotone metric tensors characterized by Petz and retrace in this unfolded perspective a recently introduced procedure of extracting a covariant tensor from a relative g-entropy.

Related

• Monotone metric tensors in Quantum Information Geometry
• Quantum Information Geometry and its classical aspect
• From Geometric Quantum Mechanics to Quantum Information
• From quasi-entropy
• A Geometrical Manifold of Entropy for Fisher Information and Quantum Potential