Gaussianity bounds for quantum mixed states with a positive Wigner function

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

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

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
Volume254
Issue number1
DOIs
Publication statusPublished - 2010
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Gaussianity bounds for quantum mixed states with a positive Wigner function. / Mandilara, A.; Karpov, E.; Cerf, N. J.

In: Journal of Physics: Conference Series, Vol. 254, No. 1, 012011, 2010.

Research output: Contribution to journal › Article

Mandilara, A, Karpov, E & Cerf, NJ 2010, 'Gaussianity bounds for quantum mixed states with a positive Wigner function', Journal of Physics: Conference Series, vol. 254, no. 1, 012011. https://doi.org/10.1088/1742-6596/254/1/012011
Mandilara A, Karpov E, Cerf NJ. Gaussianity bounds for quantum mixed states with a positive Wigner function. Journal of Physics: Conference Series. 2010;254(1). 012011. https://doi.org/10.1088/1742-6596/254/1/012011
Mandilara, A. ; Karpov, E. ; Cerf, N. J. / Gaussianity bounds for quantum mixed states with a positive Wigner function. In: Journal of Physics: Conference Series. 2010 ; Vol. 254, No. 1.
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