Mandilara, Aikaterini; Karpov, E.; Cerf, N. J.(2009)
According to Hudson’s theorem, any pure quantum state with a positive Wigner function is necessarily a
Gaussian state. Here, we make a step toward the extension of this theorem to mixed quantum states by finding
upper ...
We rederive the Schr¨odinger-Robertson uncertainty principle for the position and momentum of a quantum
particle. Our derivation does not directly employ commutation relations, but works by reduction to an eigenvalue
problem ...
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