Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of quantum state space and quantum correlations   Quantum state space is endowed with a metric structure and Riemannian
monotone metric is an important geometric entity defined on such a metric
space. Riemannian monotone metrics are very useful for information-theoretic
and statistical considerations on the quantum state space. In this article,
considering the quantum state space being spanned by 2x2 density matrices, we
determine a particular Riemannian metric for a state \r{ho} and show that if
\r{ho} gets entangled with another quantum state, the negativity of the
generated entangled state is, upto a constant factor, equals to square root of
that particular Riemannian metric . Our result clearly relates a geometric
quantity to a measure of entanglement. Moreover, the result establishes the
possibility of understanding quantum correlations through geometric approach.

25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex