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On Stochastic Generators of Positive Definite Exponents

V. P. Belavkin
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Abstract

A characterisation of quantum stochastic positive definite (PD) exponent is given in terms of the conditional positive definiteness (CPD) of their form-generator. The pseudo-Hilbert dilation of the stochastic form-generator and the pre-Hilbert dilation of the corresponding dissipator is found. The structure of quasi-Poisson stochastic generators giving rise to a quantum stochastic birth processes is studied.

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V. P. Belavkin. 2005-12-13. On Stochastic Generators of Positive Definite Exponents. https://arxiv.org/abs/math/0512290

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