Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong Quantum Nonlocality without Entanglement in Multipartite Quantum
  Systems   In this paper, we generalize the concept of strong quantum nonlocality from
two aspects. Firstly in $\mathbb{C}^d\otimes\mathbb{C}^d\otimes\mathbb{C}^d$
quantum system, we present a construction of strongly nonlocal quantum states
containing $6(d-1)^2$ orthogonal product states, which is one order of
magnitude less than the number of basis states $d^3$. Secondly, we give the
explicit form of strongly nonlocal orthogonal product basis in
$\mathbb{C}^3\otimes \mathbb{C}^3\otimes \mathbb{C}^3\otimes \mathbb{C}^3$
quantum system, where four is the largest known number of subsystems in which
there exists strong quantum nonlocality up to now. Both the two results
positively answer the open problems in [Halder, \textit{et al.}, PRL, 122,
040403 (2019)], that is, there do exist and even smaller number of quantum
states can demonstrate strong quantum nonlocality without entanglement.

27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an