Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinitesimal change is a Non-local Operation: Hidden power of Quantum
  Entanglement   We show that the global infinitesimal change in the multi-particle pure
product state gives rise to an entangled state. This suggests that even if
there is no interaction present between the subsystems, i.e., at each time
instant the state is non-entangled, the tangent vector is typically entangled.
Since the tangent space vectors tell the state-space vectors how to change this
implies that quantum entanglement is necessary for motion or change in general.
This is truly a `hidden power' of quantum entanglement. During quantum
computation even though at each time instant the state is not entangled,
quantum entanglement guides the process of computation. This observation
applies to multi-particle pure, pseudo-pure and mixed states as well.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio