منابع مشابه
Inequalities for Quantum Relative Entropy
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a log-majorization result. The thermodynamic inequality is generalized and a chain of equivalent statements involving this inequality and the Peierls-Bogoliubov inequality is obtained.
متن کاملA note on inequalities for Tsallis relative operator entropy
In this short note, we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy, {em Math. Inequal. Appl.} {18} (2015), no. 2, 401--406]. Meanwhile, we also show some new lower and upper bounds for relative operator entropy and Tsallis relative o...
متن کاملa note on inequalities for tsallis relative operator entropy
in this short note, we present some inequalities for relative operator entropy which are generalizations of some results obtained by zou [operator inequalities associated with tsallis relative operator entropy, {em math. inequal. appl.} {18} (2015), no. 2, 401--406]. meanwhile, we also show some new lower and upper bounds for relative operator entropy and tsallis relative o...
متن کاملQuantum Dynamical Entropy from Relative entropy
In this exposition we prove an existence theorem for a quantum mechanical dynamical entropy based on von-Neumann’s measurement theory. To that end we introduced a Shannon type of information associated with a quantum channel or measurement based on Araki’s relative entropy. This is an invariance for the dynamics which generalizes Kolmogorov-Sinai ’s notion of dynamical entropy of a measure pres...
متن کاملAsymptotic Attainment for Quantum Relative Entropy
It was proved that quantum relative entropy D(k) is attained by a certain sequence of measurements which is independent of. This formula is thought to be important for the quantum asymptotic detection and the quantum asymptotic estimation. To know the quantum asymptotic estimation, see [13]. The constructions of these applications are, however, left for future study. Acknowledgments I wish to t...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2005
ISSN: 0024-3795
DOI: 10.1016/j.laa.2004.03.023