Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Qubit portrait of qudit states and Bell inequalities   A linear map of qudit tomogram onto qubit tomogram (qubit portrait) is
proposed as a characteristics of the qudit state. Using the qubit portrait
method the Bell inequalities for two qubits and two qutrits are discussed in
framework of probability representation of quantum mechanics. Semigroup of
stochastic matrices is associated with tomographic probability distributions of
qubit and qutrit states. Bell-like inequalities are studied using the semigroup
of stochastic matrices. The qudit-qubit map of tomographic probability
distributions is discussed as ansatz to provide a necessary condition for
separability of quantum states.

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The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
19
The categories of this paper are: eess
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int