Gaussianity bounds for quantum mixed states with a positive Wigner function

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

doi:10.1088/1742-6596/254/1/012011

Gaussianity bounds for quantum mixed states with a positive Wigner function

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

Department of Physics

Research output: Contribution to journal › Conference 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 language	English
Article number	012011
Journal	Journal of Physics: Conference Series
Volume	254
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/254/1/012011
Publication status	Published - Jan 1 2010
Event	Quantum Groups, Quantum Foundations, and Quantum Information: A Festschrift for Tony Sudbery - York, United Kingdom Duration: Sep 29 2008 → Sep 30 2008

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ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

Mandilara, A., Karpov, E., & Cerf, N. J. (2010). Gaussianity bounds for quantum mixed states with a positive Wigner function. Journal of Physics: Conference Series, 254(1), [012011]. https://doi.org/10.1088/1742-6596/254/1/012011

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10.1088/1742-6596/254/1/012011