Abstract
Unitarity is proved for a class of solutions of quantum stochastic differential equations with unbounded coefficients. The resulting processes are then used to construct algebraic quantum diffusions. Applications include an existence proof for a class of diffusions on the non-commutative two-torus and a geometric interpretation for diffusions driven by the classical Poisson process.
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Communicated by A. Connes
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Applebaum, D. Unitary evolutions and horizontal lifts in quantum stochastic calculus. Commun.Math. Phys. 140, 63–80 (1991). https://doi.org/10.1007/BF02099290
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DOI: https://doi.org/10.1007/BF02099290