Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multipartite entanglement in heterogeneous systems   Heterogeneous bipartite quantum pure states, composed of two subsystems with
a different number of levels, cannot have both reductions maximally mixed. In
this work, we demonstrate existence of a wide range of highly entangled states
of heterogeneous multipartite systems consisting of $N>2$ parties such that
every reduction to one and two parties is maximally mixed. Two constructions of
generating genuinely multipartite maximally entangled states of heterogeneous
systems for an arbitrary number of subsystems are presented. Such states are
related to quantum error correction codes over mixed alphabets and mixed
orthogonal arrays. Additionally, we show the advantages of considering
heterogeneous systems in practical implementations of multipartite steering.

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph