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On the failure of subadditivity of the Wigner-Yanase entropy
arXiv
Authors: Robert Seiringer
Year
2007
Paper ID
50602
Status
Preprint
Abstract Read
~2 min
Abstract Words
82
Citations
N/A
Abstract
It was recently shown by Hansen that the Wigner-Yanase entropy is, for general states of quantum systems, not subadditive with respect to decomposition into two subsystems, although this property is known to hold for pure states. We investigate the question whether the weaker property of subadditivity for pure states with respect to decomposition into more than two subsystems holds. This property would have interesting applications in quantum chemistry. We show, however, that it does not hold in general, and provide a counterexample.
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- It was recently shown by Hansen that the Wigner-Yanase entropy is, for general states of quantum systems, not subadditive with respect to decomposition into two subsystems...
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