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A variational expression for the relative entropy |
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| Authors: | Dénes Petz |
| Affiliation: | 1. Mathematical Institute of HAS, Reàltanoda u. 13–15, PF.127, H-1364, Budapest, Hungary |
| Abstract: | We prove that for the relative entropy of faithful normal states ? and ω on the von Neumann algebraM the formula $$S(varphi ,omega ) = sup { omega (h) - log varphi ^h (I):h = h^* in M}$$ holds. |
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