---
_id: '2367'
abstract:
- lang: eng
  text: 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.
author:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 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>
  apa: 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>
  chicago: 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>.
  ieee: 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.
  ista: Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy.
    Letters in Mathematical Physics. 80(3), 285–288.
  mla: 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>.
  short: R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
date_created: 2018-12-11T11:57:15Z
date_published: 2007-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:03Z
day: '01'
doi: 10.1007/s11005-007-0159-x
extern: 1
intvolume: '        80'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0704.1435
month: '06'
oa: 1
page: 285 - 288
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4557'
quality_controlled: 0
status: public
title: On the failure of subadditivity of the Wigner-Yanase entropy
type: journal_article
volume: 80
year: '2007'
...