Summary
The notion of a unitary noncommutative stochastic process with independent and stationary increments is introduced, and it is proved that such a process, under a continuity assumption, can be embedded into the solution of a quantum stochastic differential equation in the sense of Hudson and Parthasarathy [8].
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This work was supported by the Deutsche Forschungsgemeinschaft, Sonderforschungsbereich 123, ‘Stochastische Mathematische Modelle’
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Schürmann, M. Noncommutative stochastic processes with independent and stationary increments satisfy quantum stochastic differential equations. Probab. Th. Rel. Fields 84, 473–490 (1990). https://doi.org/10.1007/BF01198315
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DOI: https://doi.org/10.1007/BF01198315