Quantum state space is foliated into minimum-variance leaves via quantum Fisher information to define leaf-canonical ensembles that incorporate coherence and support a leaf typicality hypothesis extending eigenstate thermalization.
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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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Quantum-Coherent Thermodynamics: Leaf Typicality via Minimum-Variance Foliation
Quantum state space is foliated into minimum-variance leaves via quantum Fisher information to define leaf-canonical ensembles that incorporate coherence and support a leaf typicality hypothesis extending eigenstate thermalization.
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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.