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A Homomorphism Theorem and a Trotter Product Formula for Quantum Stochastic Flows with Unbounded Coefficients |
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| Authors: | Biswarup Das Debashish Goswami Kalyan B Sinha |
| Institution: | 1. Institute of Mathematics of Polish Academy of Sciences, ul. ?niadeckich 8, P.O. Box 21, 00-956, Warszawa, Poland 2. Indian Statistical Institute, Kolkata, India 3. J.N. Centre for Advanced Scientific Research, Indian Institute of Science, Bangalore, India |
| Abstract: | We give a new method for proving the homomorphic property of a quantum stochastic flow satisfying a quantum stochastic differential equation with unbounded coefficients, under some further hypotheses. As an application, we prove a Trotter product formula for quantum stochastic flows and obtain quantum stochastic dilations of a class of quantum dynamical semigroups generalizing results of Goswami et al. (Inst H Poincare Probab Stat 41:505–522, 2005). |
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