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Relative entropy in quantum information theory
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We review the properties of the quantum relative entropy function and discuss its application to problems of classical and quantum information transfer and to quantum data compression. We then outline further uses of relative entropy to quantify quantum entanglement and analyze its manipulation.
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Cited by 3 Pith papers
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Black hole thermodynamics at null infinity. Part 1: Dual Generalized Second Law
At future null infinity, the generalized second law for a Schwarzschild black hole becomes the monotonic decrease of a free energy, or grand potential, constructed from the Bondi mass and angular-mode chemical potentials.
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Monotonicity of the Relative Entropy and the Two-sided Bogoliubov Inequality in von Neumann Algebras
The two-sided Bogoliubov inequality for relative free energies, previously proved for quantum-mechanical systems, is extended to arbitrary von Neumann algebras, alongside new Hilbert-space-level monotonicity inequalit...
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