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

Hansen, F 2007, 'The Wigner-Yanase entropy is not subadditive', Journal of Statistical Physics, vol. 126, no. 3, pp. 643-648. https://doi.org/10.1007/s10955-006-9265-x

APA

Hansen, F. (2007). The Wigner-Yanase entropy is not subadditive. Journal of Statistical Physics, 126(3), 643-648. https://doi.org/10.1007/s10955-006-9265-x

Vancouver

Hansen F. The Wigner-Yanase entropy is not subadditive. Journal of Statistical Physics. 2007;126(3):643-648. https://doi.org/10.1007/s10955-006-9265-x

Author

Hansen, Frank. / The Wigner-Yanase entropy is not subadditive. In: Journal of Statistical Physics. 2007 ; Vol. 126, No. 3. pp. 643-648.

Bibtex

@article{6f8abdf0bdb711dbbee902004c4f4f50,
title = "The Wigner-Yanase entropy is not subadditive",
abstract = "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.",
keywords = "Faculty of Social Sciences, Wigner-Yanase entropy, subadditivity",
author = "Frank Hansen",
note = "JEL classification: C02",
year = "2007",
doi = "10.1007/s10955-006-9265-x",
language = "English",
volume = "126",
pages = "643--648",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer",
number = "3",

}

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