Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Separability bounds on multiqubit moments due to positivity under
  partial transpose   Positivity of the density operator reflects itself in terms of sequences of
inequalities on observable moments. Uncertainty relations for non-commuting
observables form a subset of these inequalities. In addition, criterion of
positivity under partial transposition (PPT) imposes distinct bounds on
moments, violations of which signal entanglement. We present bounds on some
novel sets of composite moments, consequent to positive partial transposition
of the density operator and report their violation by entangled multiqubit
states. In particular, we derive separability bounds on a multiqubit moment
matrix (based on PPT constraints on bipartite divisions of the density matrix)
and show that three qubit pure states with non-zero tangle violate these PPT
moment constraints. Further, we recover necessary and sufficient condition of
separability in a multiqubit Werner state through PPT bounds on moments.

28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex