TY - JOUR
T1 - Gaussianity bounds for quantum mixed states with a positive Wigner function
AU - Mandilara, A.
AU - Karpov, E.
AU - Cerf, N. J.
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
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U2 - 10.1088/1742-6596/254/1/012011
DO - 10.1088/1742-6596/254/1/012011
M3 - Conference article
AN - SCOPUS:79952432814
VL - 254
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012011
T2 - Quantum Groups, Quantum Foundations, and Quantum Information: A Festschrift for Tony Sudbery
Y2 - 29 September 2008 through 30 September 2008
ER -