article published Robert Seiringer author 4AFD0470-F248-11E8-B48F-1D18A9856A870000-0002-6781-0521 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. Springer2007 10.1007/s11005-007-0159-x 803285 - 288 yes Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” <i>Letters in Mathematical Physics</i>, vol. 80, no. 3, Springer, 2007, pp. 285–88, doi:<a href="https://doi.org/10.1007/s11005-007-0159-x">10.1007/s11005-007-0159-x</a>. R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288. Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” <i>Letters in Mathematical Physics</i>. Springer, 2007. <a href="https://doi.org/10.1007/s11005-007-0159-x">https://doi.org/10.1007/s11005-007-0159-x</a>. Seiringer, R. (2007). On the failure of subadditivity of the Wigner-Yanase entropy. <i>Letters in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s11005-007-0159-x">https://doi.org/10.1007/s11005-007-0159-x</a> Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy. Letters in Mathematical Physics. 80(3), 285–288. Seiringer R. On the failure of subadditivity of the Wigner-Yanase entropy. <i>Letters in Mathematical Physics</i>. 2007;80(3):285-288. doi:<a href="https://doi.org/10.1007/s11005-007-0159-x">10.1007/s11005-007-0159-x</a> R. Seiringer, “On the failure of subadditivity of the Wigner-Yanase entropy,” <i>Letters in Mathematical Physics</i>, vol. 80, no. 3. Springer, pp. 285–288, 2007. 23672018-12-11T11:57:15Z2021-01-12T06:57:03Z