Renyi divergences, Bures geometry and quantum statistical thermodynamics

Abstract

The Bures geometry of quantum statistical thermodynamics at thermal equilibrium is investigated by introducing the connections between the Bures angle and the Renyi $1/2$-divergence. Fundamental relations concerning free energy, moments of work and distance are established.

11 pages, 2 figures

References in corpus (6)

• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Irreversible work and inner friction in quantum thermodynamic processes
• Bures metric over thermal state manifolds and quantum criticality
• Thermodynamic length for far from equilibrium quantum systems
• Symmetry-protected Topological Phases at Finite Temperature