Abstract
We prove that for the relative entropy of faithful normal states ϕ and ω on the von Neumann algebraM the formula
holds.
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Petz, D. A variational expression for the relative entropy. Commun.Math. Phys. 114, 345–349 (1988). https://doi.org/10.1007/BF01225040
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DOI: https://doi.org/10.1007/BF01225040