What Is a Gaussian State?
نویسنده
چکیده
Stimulated by a remark of J. L. Doob at the beginning of Appendix I to Kai Lai Chung’s English translation “Limit Distributions for Sums of Independent Variables” of the Russian classic by B. V. Gnedenko and A. N. Kolmogorov [5] we highlight the somewhat nonprobabilistic importance of characteristic functions and their positive definiteness property in a pedagogical attempt to introduce the notion of a quantum Gaussian state and its properties to a classical probabilist. Such a presentation leads to some natural open problems on symmetry transformation properties of Gaussian states.
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