Gaussianity bounds for quantum mixed states with a positive Wigner function

A. Mandilara, E. Karpov, N. J. Cerf

Research output: Contribution to journalConference article

3 Citations (Scopus)


According to Hudson's theorem, the only quantum pure states with a positive Wigner function are Gaussian states. We summarize and compare some recent attempts at extending this theorem to the space of quantum mixed states, and complement them with new results obtained from numerical observations. Specifically, we look for upper bounds on the admissible non-Gaussianity of mixed states with a positive Wigner function.

Original languageEnglish
Article number012011
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - Jan 1 2010
EventQuantum Groups, Quantum Foundations, and Quantum Information: A Festschrift for Tony Sudbery - York, United Kingdom
Duration: Sep 29 2008Sep 30 2008


ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this