The Wigner-Yanase Entropy is not Subadditive
نویسندگان
چکیده
منابع مشابه
On the failure of subadditivity of the Wigner-Yanase entropy
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 proper...
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We show that the Wigner-Yanase-Dyson-Lieb concavity is a general property of an interpolation theory which works between pairs of (hilbertian) seminorms. As an application, the theory extends the relevant work of Lieb and Araki to positive linear forms of arbitrary *-algebras. In this context a "relative entropy" is defined for every pair of positive linear forms of a *-algebra with identity. F...
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Takayuki Miyadera ∗ and Hideki Imai ∗,† ∗ Research Center for Information Security (RCIS), National Institute of Advanced Industrial Science and Technology (AIST). Daibiru building 1102, Sotokanda, Chiyoda-ku, Tokyo, 101-0021, Japan. (e-mail: [email protected]) † Graduate School of Science and Engineering Course of Electrical, Electronic, and Communication Engineering, Chuo Universit...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2007
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-006-9265-x