Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From the Heisenberg to the Schr\"{o}dinger Picture: Quantum Stochastic
  Processes and Process Tensors   A general theory of quantum stochastic processes was formulated by Accardi,
Frigerio and Lewis in 1982 within the operator-algebraic framework of quantum
probability theory, as a non-commutative extension of the Kolmogorovian
classical stochastic processes. More recently, studies on non-Markovian quantum
processes have led to the discrete-time process tensor formalism in the
Schr\"{o}dinger picture to describe the outcomes of sequential interventions on
open quantum systems. However, there has been no treatment of the relationship
of the process tensor formalism to the quantum probabilistic theory of quantum
stochastic processes. This paper gives an exposition of quantum stochastic
processes and the process tensor and the relationship between them. In
particular, it is shown how the latter emerges from the former via extended
correlation kernels incorporating ancillas.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin