QFI for entropy in Gibbs states equals 1/C, dual to C/T² for temperature, yielding a Hamiltonian-independent uncertainty relation for their estimators.
Ruppeiner, Thermodynamics: A Riemannian geomet- ric model, Physical Review A20, 1608 (1979)
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A Rayleigh-quotient-based thermodynamic geometry reformulates relaxation dynamics as entropic stiffness versus frictional dissipation, with linear vanishing of the slow relaxation rate near the critical temperature in a van der Waals gas.
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Quantum Fisher Information for Entropy of Gibbs States
QFI for entropy in Gibbs states equals 1/C, dual to C/T² for temperature, yielding a Hamiltonian-independent uncertainty relation for their estimators.
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Thermodynamic Geometry of Relaxation
A Rayleigh-quotient-based thermodynamic geometry reformulates relaxation dynamics as entropic stiffness versus frictional dissipation, with linear vanishing of the slow relaxation rate near the critical temperature in a van der Waals gas.