Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Operational Choi-Jamiolkowski Isomorphism   In this article, I use an operational formulation of the Choi-Jamio\l{}kowski
isomorphism to explore an approach to quantum mechanics in which the state is
not the fundamental object. I first situate this project in the context of
generalized probabilistic theories and argue that this framework may be
understood as a means of drawing conclusions about the intratheoretic causal
structure of quantum mechanics which are independent of any specific
ontological picture. I then give an operational formulation of the
Choi-Jamio\l{}kowski isomorphism and show that in an operational theory which
exhibits this isomorphism, several features of the theory which are usually
regarded as properties of the quantum state can be derived from constraints on
non-local correlations. This demonstrates that there is no need to postulate
states to be the bearers of these properties, since they can be understood as
consequences of a fundamental equivalence between multipartite and temporal
correlations.

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The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas