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1986
The basic integrator processes of quantum stochastic calculus, namely, creation, conservation, and annihilation, are introduced in the Hilbert space of square integrable Brownian functionals. Stochastic integrals with respect to these processes and a quantum Ito’s formula are described.
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Quantum Probability Calculus as Fuzzy-Kolmogorovian Probability Calculus

AIP Conference Proceedings, 2009
Representation of quantum logics by families of fuzzy sets allows to build fuzzy set‐theoretic models of quantum probability spaces in a way fully analogous to the Kolmogorov construction of a classical probability space. Therefore, quantum probability calculus on the one hand may be seen as a special kind of fuzzy probability calculi, and on the other
Jarosław Pykacz +7 more
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Quantum Set Calculus

1996
We saw in Chapter 10 that the quantum correspondent to first-order set algebra and first-order class algebra is a Grassmann double algebra of antisymmetric tensors. (More accurately: is the ray structure of a Grassmann algebra; this is to be understood throughout.) We now work out a quantum correspondent to the classical set calculus, the higher-order ...
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Quantum stochastic calculus [PDF]