Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric measure of entanglement of multipartite mixed states   The geometric measure of entanglement of a pure state, defined by its
distance to the set of pure separable states, is extended to multipartite mixed
states. We characterize the nearest disentangled mixed state to a given mixed
state with respect to this measure by a system of equations. The entanglement
eigenvalue for a mixed state is introduced. For a given mixed state, we show
that its nearest disentangled mixed state is associated with its entanglement
eigenvalue.

31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex