… stochastic flows is developed in order to achieve the above Stinespring decomposition. …
algebra to obtain a form of our stochastic Stinespring decomposition in which j is trivial. Similar …

… of Stinespring unitaries for time-independent Markovian dynamics [18] has recently been used
for studying quantum embeddability of stochastic … Moreover, combining our main theorem …

… of Stinespring unitaries for time-independent Markovian dynamics [18] has recently been used
for studying quantum-embeddability of stochastic … Moreover, combining our main theorem …

… 3.4 of [9] and Theorem 3.2 of [8]. In Section 2, we give a Stinespring type theorem for τ-maps, …
In this article we get a covariant version of our Stinespring type theorem which requires the …

… theorem for the strong convergence topology on the set of quantum channels and the strong
operator topology on the set of Stinespring … –Schlingemann–Werner theorem allows us to …

… In section 3 Using the Stinespring representaions related to preserving Markov operator Φ
and assuming the existence of particular anti-unitary operator on Hilbert space of Stinespring …

… Our treatment parallels that of Ito [2] f or stochastic processes … Stochastic independence for
disjoint sets can be interpreted … When we apply the spectral theorem to H and (3, we see that …

… One way splittable distributions arise is from suitablysmooth stochastic processes with …
in [2, Theorem 3] and a sufficient condition in the non-linearcase by Gross [1, Theorem 4]. Our …

… of stochastic integrals, and as examples introduce the normal, the Poisson, and the Cauchy
Wiener processes. We discuss the connection between splittability and stochastic … theorem (…

… As a mathematical tool, we prove a classical version of Stinespring’s dilation theorem, … that
the following theorem could be also useful for other applications. It tells us that any stochastic …