Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dependence of a quantum mechanical system on its own initial state and
  the initial state of the environment it interacts with   We present a unifying framework to the understanding of when and how quantum
mechanical systems become independent of their initial conditions and adapt
macroscopic properties (like temperature) of the environment.By viewing this
problem from an quantum information theory perspective, we are able to simplify
it in a very natural and easy way. We first show that for any interaction
between the system and the environment, and almost all initial states of the
system, the question of how long the system retains memory of its initial
conditions can be answered by studying the temporal evolution of just one
special initial state. This special state thereby depends only on our knowledge
of macroscopic parameters of the system. We provide a simple entropic
inequality for this state that can be used to determine whether mosts states of
the system have, or have not become independent of their initial conditions
after time $t$. We discuss applications of our entropic criterion to
thermalization times in systems with an effective light-cone and to quantum
memories suffering depolarizing noise. We make a similar statement for almost
all initial states of the environment, and finally provide a sufficient
condition for which a system never thermalizes, but remains close to its
initial state for all times.

20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol