Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fleming's bound for the decay of mixed states   Fleming's inequality is generalized to the decay function of mixed states. We
show that for any symmetric hamiltonian $h$ and for any density operator $\rho$
on a finite dimensional Hilbert space with the orthogonal projection $\Pi$ onto
the range of $\rho$ there holds the estimate $\Tr(\Pi \rme^{-\rmi ht}\rho
\rme^{\rmi ht}) \geq\cos^{2}((\Delta h)_{\rho}t) $ for all real $t$ with
$(\Delta h)_{\rho}| t| \leq\pi/2.$ We show that equality either holds for all
$t\in\mathbb{R}$ or it does not hold for a single $t$ with $0<(\Delta
h)_{\rho}| t| \leq\pi/2.$ All the density operators saturating the bound for
all $t\in\mathbb{R},$ i.e. the mixed intelligent states, are determined.

22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an