I prove a basic inequality for Schatten -norms of quantum states on a finite-dimensional bipartite Hilbert space : . This leads to a proof—in the finite-dimensional case—of Raggio’s conjecture [G. A. Raggio, J. Math. Phys. 36, 4785 (1995)] that the -entropies are subadditive for ; that is, for any state , is not greater than the sum of the of its reductions, .
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© 2007 American Institute of Physics.
2007
American Institute of Physics
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