The Wigner-Yanase entropy is not subadditive
Research output: Contribution to journal › Journal article › Research › peer-review
Standard
The Wigner-Yanase entropy is not subadditive. / Hansen, Frank.
In: Journal of Statistical Physics, Vol. 126, No. 3, 2007, p. 643-648.Research output: Contribution to journal › Journal article › Research › peer-review
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - The Wigner-Yanase entropy is not subadditive
AU - Hansen, Frank
N1 - JEL classification: C02
PY - 2007
Y1 - 2007
N2 - Wigner and Yanase introduced in 1963 the Wigner-Yanase entropy defined as minus the skew information of a state with respect to a conserved observable. They proved that the Wigner-Yanase entropy is a concave function in the state and conjectured that it is subadditive with respect to the aggregation of possibly interacting subsystems.While this turned out to be true for the quantum-mechanical entropy, we negate the conjecture for the Wigner-Yanase entropy by providing a counter example.
AB - Wigner and Yanase introduced in 1963 the Wigner-Yanase entropy defined as minus the skew information of a state with respect to a conserved observable. They proved that the Wigner-Yanase entropy is a concave function in the state and conjectured that it is subadditive with respect to the aggregation of possibly interacting subsystems.While this turned out to be true for the quantum-mechanical entropy, we negate the conjecture for the Wigner-Yanase entropy by providing a counter example.
KW - Faculty of Social Sciences
KW - Wigner-Yanase entropy
KW - subadditivity
U2 - 10.1007/s10955-006-9265-x
DO - 10.1007/s10955-006-9265-x
M3 - Journal article
VL - 126
SP - 643
EP - 648
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
SN - 0022-4715
IS - 3
ER -
ID: 420482