On the Generators of Quantum Stochastic Master Equation

Details On the Generators of Quantum Stochastic Master Equation On the Generators of Quantum Stochastic Master Equation

2005-12-15

arxiv.org/abs/quant-ph/0512119v1

Theoretical and Mathematical Physics, 110 (1997) No 1, 46--60

Physics

Quantum Physics

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

Scientific paper

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

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