# On the failure of subadditivity of the Wigner-Yanase entropy

Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy. Letters in Mathematical Physics. 80(3), 285–288.

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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.

Publishing Year

Date Published

2007-06-01

Journal Title

Letters in Mathematical Physics

Volume

80

Issue

3

Page

285 - 288

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### Cite this

Seiringer R. On the failure of subadditivity of the Wigner-Yanase entropy.

*Letters in Mathematical Physics*. 2007;80(3):285-288. doi:10.1007/s11005-007-0159-xSeiringer, R. (2007). On the failure of subadditivity of the Wigner-Yanase entropy.

*Letters in Mathematical Physics*. Springer. https://doi.org/10.1007/s11005-007-0159-xSeiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.”

*Letters in Mathematical Physics*. Springer, 2007. https://doi.org/10.1007/s11005-007-0159-x.R. Seiringer, “On the failure of subadditivity of the Wigner-Yanase entropy,”

*Letters in Mathematical Physics*, vol. 80, no. 3. Springer, pp. 285–288, 2007.Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.”

*Letters in Mathematical Physics*, vol. 80, no. 3, Springer, 2007, pp. 285–88, doi:10.1007/s11005-007-0159-x.**All files available under the following license(s):**

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