On the General Form of Quantum Stochastic Evolution Equation

Details On the General Form of Quantum Stochastic Evolution Equation On the General Form of Quantum Stochastic Evolution Equation

2005-12-21

arxiv.org/abs/math/0512510v1

Stochastic Analysis and Applications 91--106, World Scientific, Singapore, 1996

Mathematics

Probability

12 pages. See also relevant papers at http://www.maths.nott.ac.uk/personal/vpb/research/mar_dyn.html and http://www.maths.no

Scientific paper

A characterisation of the quantum stochastic bounded generators of irreversible quantum state evolutions is given. This suggests the general form of quantum stochastic evolution equation with respect to the Poisson (jumps), Wiener (diffusion) or general Quantum Noise. The corresponding irreversible Heisenberg evolution in terms of stochastic completely positive (CP) cocycles is also characterized and the general form of the stochastic completely dissipative (CD) operator equation is discovered.

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