Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measure of multipartite entanglement with computable lower bounds   In this paper, we present a measure of multipartite entanglement
($k$-nonseparable), $k$-ME concurrence $C_{k-\mathrm{ME}}(\rho)$ that
unambiguously detects all $k$-nonseparable states in arbitrary dimensions,
where the special case, 2-ME concurrence $C_{2-\mathrm{ME}}(\rho)$, is a
measure of genuine multipartite entanglement. The new measure $k$-ME
concurrence satisfies important characteristics of an entanglement measure
including entanglement monotone, vanishing on $k$-separable states, convexity,
subadditivity and strictly greater than zero for all $k$-nonseparable states.
Two powerful lower bounds on this measure are given. These lower bounds are
experimentally implementable without quantum state tomography and are easily
computable as no optimization or eigenvalue evaluation is needed. We illustrate
detailed examples in which the given bounds perform better than other known
detection criteria.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex